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MATHEMATICS

w w w . a l p h a s c i . c o mPrices and Pub Dates subject to changeISBN Prefix: Alpha Science — 978-1-84265; Narosa — 978-81-7319, 978-81-85198USD Price valid for North America Only / GBP Price valid for Rest of the World Mathematics 1

MATHEMATICS

w w w . a l p h a s c i . c o m Prices and Pub Dates subject to changeISBN Prefix: Alpha Science — 978-1-84265; Narosa — 978-81-7319, 978-81-85198

USD Price valid for North America Only / GBP Price valid for Rest of the World2 Mathematics

MATHEMATICS


Advanced Engineering MathematicsThird EditionR. K. Jain, S. R. K. Iyengar

The third edition of this very successful book, based on the experience and notes of the authors while teaching mathematics courses toengineering students for more than three decades, emphasizes the fundamental and theoretical concepts. The key features of this bookare Illustrative examples and exercises that explain each theoretical concept.

New to the Third Edition: Chapters on

Numerical Methods Theory of Probability Mathematical Statistics – Tests of SignificanceKey Features:

Logical and Lucid Presentation of both the Theory and Problem Solving Techniques 682 Solved Examples and 2984 ProblemsAnswers and Hints for Problems given to Motivate Students

Contents: Preface to the Third Edition / Preface to the First Edition / Functions of a Real Variable / Functions of Several Real Variables / Matrices and Eigenvalue Problems /Ordinary Differential Equations of First Order / Linear Differential Equations / Series Solution of Differential Equations / Legendre Polynomials, Chebyshev Polynomials, BesselFunctions and Sturm-Liouville Problem / Laplace Transformation / Fourier Series, Fourier Integrals and Fourier Transforms / Functions of a Complex Variable: Analytic Functions /Integration of Complex functions / Power Series, Taylor and Laurent Series / Zerosz Singularities and Residues / Bilinear Transformations and Conformal Mapping / Vector Differentialand Integral Calculus / Partial Differential Equations / Z Transformation / Numerical Methods / Theory of Probability / Mathematical Statistics – Tests of Significance / Appendix1-4 /Some Reference Textbooks / Index

Audience: Applied Mathematicians & Engineering Students

2007 1410pp 180 x 240 2500g Hb ISBN: 978-1-84265-312-8 £ 39.95 / US$ 79.95

Advanced Methods of Mathematical PhysicsSecond EditionR. S. Kaushal, D. Parashar

The second edition of Advanced Methods of Mathematical Physics has been considerably revised, enlarged and updated. This istypically a two-semester course material for students pursuing Master’s degree programs in theoretical physics and mathematics coveringsuch topics as the theory of finite groups, introductory topology and differential geometry, integral equations, Sturm-Liouvilles’s theoryincluding Green’s functions, stochastic processes and stochastic differential equations, nonlinear dynamics, solution of nonlinear differentialand integral equations, symmetries of differential equations and normal modes in nonlinear dynamical systems.

What the anvil means to the blacksmith, what a car means to the businessman, what a violin means to the musician, that’s what mathematics meansto a theoretical physicist.Not only can we not live without it. We love mathematics. We play with it even in the rare cases that we do not need it. Mathematics is fun. Studentsin theoretical physics need good teachers and good books to learn mathematics. Here is such a book. Devour. Enjoy

Gerardus ‘t HooftNoble Laureate

Professor of Physics, University of Utrecht, The Netherlands

……….an extremely useful textbook. I am sure that it will be much used by many students.James D. Bjorken

Professor of Physics, Stanford Linear Accelerator Center, Stanford University, USANew to the Second Edition:

Two appendices:– on differentiation and integration under the integral sign– on the existence of the limit cycles in a Lienard system

New examples as also some additional pertinent problems listed at appropriate places in the text

Contents: General Introduction / Theory of Finite Group / Rudiments of Topology and Differential Geometry / Integral Equations, Sturm-Liouville Theory and Green’s Functions /Stochastic Processes and Stochastic Differential Equations / Methods of Nonlinear Dynamics I: Phase Portraits / Methods of Nonlinear Dynamics II: Stability and Bifurcation / SomeNonlinear Differential Equations and their Solutions / Some Nonlinear Integral Equations and their Solutions / Exact Solution of Some Nonlinear Differential Equations / Symmetriesof Differential Equations / Normal Modes in Nonlinear Dynamical Systems / Appendix A: Some Numerical Aspects of Nonlinear Dyamical Systems Vis-à-vis Chaos / Appendix B:Differentiation and Integration under the Integral Sign / Appendix C: Further Remarks on the Existence of Limit Cycles in a Lienard System / Bibliography / Index

Audience: Postgraduate Students, Physicists, Chemists, Mathematicians, Engineers, Bioscientists, Economists

2008 542pp 93Figs. 160 x 240 960g Hb ISBN: 978-1-84265-409-5 £ 47.50 / US$ 95.00

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AlgebraThird EditionVivek Sahai, Vikas Bist

The Third Edition of this highly successful textbook for undergraduate and postgraduate students covers Groups, Rings, Modules and Fields,exhibits interplay of both Group and Field theory by means of Galois Theory and shows insolvability of a quintic, in general, by radicals.

New to the Third Edition:Section on

Semisimple Modules and Related Results

Contents: Preface / Notations / Preliminaries: Sets and Mappings / Equivalence Relation / The Integers / The Axiom of Choice / Countable and Uncountable Sets / Groups:Definitions and Examples / Subgroups / Cosets and Normal Subgroups / Homomorphisms / Normalizer, Centralizer and Class Equation / Symmetric Groups / Direct Products /Automorphisms / Sylow’s Theorems / Applications of Sylow’s Theorems / Series of Groups / Finite Abelian Groups / Groups of Small Order / Rings: Definitions and Examples /Ideals and Isomorphism Theorems / Direct Product of Rings / Rings of Polynomials / Fields of Fractions / Prime Ideals and Maximal Ideals / Factorization in Integral Domains /Noetherian Rings / Modules: Definitions and Examples / Module Homomorphisms and Quotient Modules / Direct Sums and Exact Sequences / Free Modules / Free Modulesover PIDs / Finitely Generated Modules over PIDs / Projective and Injective Modules / Semisimple Modules / Fields: Field Extensions / Splitting Fields / Algebraically ClosedFields / Normal Extensions / Separable Extensions / Galois Theory / Galois Group of a Polynomial / Radical Extensions / Constructibility / Bibliography / Index

Audience: Graduate & Postgraduate Students of Colleges and Universities

2008 360pp 160 x 240 820g Hb ISBN: 978-1-84265-406-4 £ 29.95 / US$ 59.00

AlgebraI. S. Luthar, I. B. S. Passi

Volume 1: GroupsContents: Preface / Notations / Preliminaries / Groups of Plane Symmetries / Groups and Their Homomorphisms / Subgroups, Normal Subgroups and Quotient Groups /Homomorphism Theorems/ Direct and Semidirect Products / Finite Groups / Series of Subgroups/ Abelian Groups / Finite Subgroups of Orthogonal Groups/ Bibliography / Index

Audience: Undergraduate Students, Prospective Teachers & Researchers

1997 278pp 155 x 230 300g Pb ISBN: 978-81-7319-077-3 £ 29.95 / US$ 59.95

Volume 2: RingsContents: Rings / Matrices and Endomorphisms / Rings of Fractions, Division Rings and Prime Fields / Polynomials / Cayley-Hamilton Theorem / Symmetric Polynomials,Resultant / Power Series / Factorization in Integral Domains / Euclidean and Principal Ideal Domains / Ideals and Homomorphism Theorems / Maximal Ideals / Prime Ideals /Finiteness Conditions / Dedekind Domains / Bibliography/ Index

Audience: Undergraduate Students, Prospective Teachers & Researchers

1999 349pp 155 x 230 420g Pb ISBN: 978-81-7319-313-2 £ 35.00 / US$ 69.95

Volume 3: ModulesKey Features:

Introduction to the theory of modules Basic notions in modules and vector spacesExposition of quadratic forms and the Hasse-Minkowski theory of rational quadratic formsProjective and injective modules, tensor products and flat modules

“…emphasis on carefully selected exercises is one of the outstanding features of the present book, apart from the adept arrangement of the material, itsutmost lucid and detailed representation, and its remarkable versality. No doubt, this is one of the very best introductions to basic module theory at all.”

Werner KleinertZentralblatt MATH Database 1931–2007

Audience: Postgraduate, Doctoral Students & Teachers

2002 354pp 160 x 240 700g Hb ISBN: 978-1-84265-082-0 £ 35.00 / US$ 69.95

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Volume 4: Field TheoryContents: Chapter 1. Algebraic Extensions: Extensions and algebras / Algebraic extensions / Splitting fields, algebraic closure and normal extensions / Roots of unity, finitefields / Separable and inseparable algebraic extensions / Chapter 2. Galois Theory: The Galois group and the fundamental theorem / Solubility of equations by radicals / Additionalresults / Chapter 3. Algebras: Algebras / Tensor product of algebras / Norms and traces / Generalities on representations and their characters / Derivations in commutative algebras /Chapter 4. Further Field Theory: Transcendence / Finitely generated over domains of fields / Separability / Derivations and separability / Bibliography / Index

“As in their earlier volumes, the authors have enhanced the text by an abundance of purposeful and further-leading exercises, most of which come withdetailed hints or outlines of proof. This wealth of utmost instructive exercises is certainly one of the protruding features of the overall excellent, comprehensive,lucid, and user-friendly textbook under review, which also stands out by its high degree of accuracy, versality and mathematical culture.”

Werner KleinertZentralblatt MATH Database 1931–2007

Audience: Postgraduate, Doctoral Students & Teachers

2004 310pp 160 x 240 700g Hb ISBN: 978-1-84265-191-9 £ 35.00 / US$ 69.95

Algebra and its ApplicationsEditors: S. T. Rizvi, M. A. Quadri, M. Ashraf

This book highlights the interactions of various branches of algebra such as: Rough Groups, Normal Semi-Groups, Quasi Baer-Rings, Exchange Rings, CS Rings, NearRings, Jordan and Lie Homomorphisms in Rings, Derivations, Serial Modules, Pseudo M-Injective Modules, Jordan Algebras, Coding Theory and Category Theory.Audience: Undergraduate Students of Arts, Science & Engineering

2001 328pp 160 x 240 800g Hb ISBN: 978-1-84265-085-1 £ 65.00 / US$ 120.00

Algebra, Arithmetic and Geometry (TIFR)Part 1 & Part 2 (Set)Editor: R. Parimala

Collection of papers presented at the International Colloquium co-sponsored by the International Mathematical Union on Algebra, Arithmetic and Geometry held atthe Tata Institute of Fundamental Research, Mumbai.Audience: Graduate & Postgraduate Students Teachers & Researchers


Algebraic Groups and Arithmetic (TIFR)Editor: S. G. Dani, G. PrasadContents: On the Work of M.S. Raghunathan / On Some Work of Raghunathan / The Cohomology with Local Coe_cients of Compact Hyperbolic Manifolds /Pseudo-Eisenstein Forms and Cohomology of Arithmetic Groups II / Restriction Maps and the First Betti Number / Combinatorics of B-orbits in a WonderfulCompactification / A New Realization of the Cohomology of Springer Fibers / Minimal Representations: Spherical Vectors and Automorphic Functionals / OnLanglands Functoriality - Reduction to the Semistable Case / Algebraic Cycles on Hilbert Modular Fourfolds and Poles of L-functions / Certain EisensteinSeries on Loop Groups: Convergence and the Constant Term / Transformation de type Poisson relative aux groupes d'Iwahori / Convexes Divisibles I / TheComplex-symplectic Geometry of SL(2,C)-characters over Surfaces / Random Walks on the Space of Lattices and the Finiteness of Covolumes of ArithmeticSubgroups / On a Problem Concerning Arithmeticity of Discrete Groups Acting on H × · · · × H / Normal Subgroup Growth of Linear Groups: The (G2, F4,E8)-Theorem / Real Representations of Semisimple Lie Algebras have Q-forms / Whitehead Groups and Groups of R-equivalence Classes of Linear Algebraic Groups of NoncommutativeClassical Type Over Some Virtual Fields / Exotic Structures and Quaternionic Hyperbolic Manifolds / Summatory Functions of Elements in Selberg's Class / Baker-Sprind¡zukConjectures for Complex Analytic Manifolds / On Stabilizers of Continuous Actions of Lie Groups

Audience: Students, Teachers and Researchers


MATHEMATICS



Algebraic Groups and Homogeneous Spaces (TIFR)Editor: Vikram B. Mehta

Major advances have been made in the area of Algebraic Groups and Homogeneous Spaces in recent decades. This volume containsarticles by several leading experts in central topics in the area, including representation theory in characteristic p, combinatorial representationtheory, flag varieties, Schubert varieties, vector bundles, loop groups and Kac-Moody Lie algebras, Galois cohomology of algebraic groups,and Tannakian categories.In addition to original papers in these areas, the volume includes a survey on representation theory in characteristic p by H. Andersen and anarticle by T.A. Springer on Armand Borel’s work in algebraic groups and Lie groups.

Contents: Armand Borel’s Work in the Theory of Linear Algebraic Groups / Cohomology of Line Bundles / Extremal Unitary Local Systems on P1 – p1,…,ps/ Higgs Fields and FlatConnections on a Principal Bundle Over a Compact Kähler Manifold / Construction of Equivariant Vector Bundles / The Rationality Problem for Fields of Invariants Under LinearAlgebraic Groups (With Special Regards to the Brauer Group) / On the Geometry of Graph Arrangements / La Catégorie des Représentations du Groupe Symétrique St, Lorsque tn’est pas un Entier Naturel / Eisenstein Series on Loop Groups: Maass-Selberg Relations 1 / A Reductive Group with Finitely Generated Cohomology Algebras / Cohomology of LineBundles on Schubert Varieties in the Kac-Moody Setting / Composition Kostka Functions / On Ideal Generators for Affine Schubert Varieties / Crystal, Canonical and PBW Bases ofQuantum Affine Algebras / Quantum Analogues of a Coherent Family of Modules at Roots of One: g2 / Generically Multiple Transitive Algebraic Group Actions / Some Subvarieties ofa Group Compactification

Audience: Graduate Students & Researchers

2007 554pp 160 x 240 1120g Hb ISBN: 978-81-7319-802-1 £ 55.00 / US$ 110.00

Algebraic Independence (TIFR)Yu. V. NesterenkoContents: Lindemann-Weierstrass Theorem / E-functions and Shidlovskii’s Theorem / Small Transcendence Degree (Exponential Function) / Small Transcendence Degree(Modular Functions) / Algebraic Fundamentals / Philippon’s Criterion of Algebraic Independence / Fields of Large Transcendence Degree / Multiplicity Estimates

Audience: Postgraduate Students and Researchers in Mathematics

2009 160pp 185 x 240 ISBN: 978-81-7319-984-4 TBA

Analytical GeometryTwo and Three DimensionsD. Chatterjee

This book presents in an elegant way, the essentials of two and three dimensions of analytical geometry with plenty of examples toillustrate the basic ideas and to bequeath to the students numerous techniques of problem-solving. The exercises provide ampleproblems to supplement steady progress and to broaden the intuition of generalization. The overall approach is systematic, rigorous andleast dependent on Euclidean propositions.

Contents: Prelude / Preface / Metric Properties in Plane / Straight Lines in Plane / Circles in Plane / Conics in Plane / Metric Classification of Conics / Polar CoordinateSystem / Analytical Geometry (3D) / Plane / Straight Line / Locus, Surfaces and Curves / The Sphere / Answers to Exercises / Bibliography / Index

Audience: Students of Arts, Science & Engineering

2009 266pp 160 x 240 630g Hb ISBN: 978-1-84265-459-0 £ 24.95 / US$ 49.95

Applicable Mathematics in the Golden AgeEditor: J. C. Misra

This comprehensive volume introduces educational units dealing with various emerging branches of Applicable Mathematics. It consists of chapters that deal withmajor areas of pure mathematics having the promise of potential application to various other fields of knowledge.Audience: Graduates, Instructors & Researchers


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Applications of Numerical Techniques with CSuresh Chandra

Applications of Numerical Techniques With C discusses the salient features of computers, C language, Interpolation, Integration, Roots ofan Equation, Solution of Simultaneous Equations, Eigenvalues and Eigenvectors of a Matrix, Solution of Differential Equations, RandomNumbers and Statistical Parameters. Flow-chart is written for each technique. Each technique is explained with the help of simple exercisesusing simple language, and computer programs for dealing with complicated situations.

Contents: Computers / Interpolation / Integration / Roots of An Equation / Solution of Simultaneous Equations / Eigenvalues and Eigenvectors of a Matrix /Solution of Differential Equation / Random Numbers / Statistical Parameters / Bibliography / Index

Audience: Undergraduate & Postgraduate Students


Applied MathematicsEditors: U. Basu, B. N. Mandal

Applied Mathematics is a collection of instructional articles focusing on and highlighting a number of basic techniques both analyticaland numerical, in ordinary and partial differential equations, nonlinear differential equations, dynamical systems, wavelets, integralequations, chaos and fractals, quantum information and complex systems, etc.The book will be useful to researchers in applied mathematics and theoretical physics.

Contents: Preface / Introduction to Finite Difference Method for PDE / Wavelet Analysis and Applications / Discrete Dynamical System: LiapunovExponent, Entropy and Complexity / A Tour on the Theoretical Aspects of Spin Coating Technique / On Regular to Chaotic Evolution of DynamicalSystems / Geometric Evolution of Curves and its Application to Integrable Systems and Pattern Formations / Important Quantum Features and Quantum Information Processing /Chaotic Behavior in Field Theory Models / Solitary Wave Solutions of Class of Nonlinear Evolution Equations / Numerical Solution of Singular Integral Equations / Solitary WavesKdV Equation: Derivation from Nonlinear Shallow Water Wave Theory / Numerical Methods for Differential Equations / Finite-Difference Solution of Convection-DiffusionEquation with Application to Incompressible Navier-Stokes Equations / Wavelet Analysis: An Introduction / Boundary Integral Method in Elastostatic Crack and ElastodynamicCrack Scattering Problem / Two Dimensional Korteweg-De Vries-Burgers (KdVB) Equation and Kadomtsev-Petviashvili Equations: Exact Travelling Wave Solutions / Realizationof Chaos and Fractals using Mathematica / Quantum Entanglement-Fundamental Aspects

Audience: Graduate Students, Teachers & Researchers in Applied Mathematics and Theoretical Physics


Applied Time SeriesAnalysis and ForecastingT. M. J. A. Cooray

Applied Time Series: Analysis and Forecasting provides the theories methods and tools for necessary modeling and forecasting oftime series. It includes a complete theoretical development of univariate time series models with each step demonstrated with ananalysis of real time data series. The result is clear presentation, quantified subjective judgment derived from selected models appliedto time series observations. Utilizing real time series to demonstrate theoretical Approaches, the author explores diverse aspects of timeseries, including how to identify structure, explain observed behaviour, model structures and behaviours, and interpret analysis to makeinformed forecast. The book also illustrates concepts such as components decomposition, fundamental model form such as trendscycles seasonality and practical requirement.

Contents: Preface / Abbreviations / Scope of the Book / Analysis of Time Series / Classical Time Series Decomposition / Exponential Smoothing Method / Stationary &Nonstationary Time Series / Stationary Stochastic Processes / The Box-Jenkins ARIMA Methodology / Model Identification and Diagnostics Checking / Applications of Box-Jenkins Methodology / Recursive Estimation of Time Series Models / Recursive Estimation and Time-Varying Parameter Models / Implementation of Recursive Methods in ExcelSpread Sheet / Appendix / Glossary of Forecasting Terms / References / Index

Audience: Undergraduate – Postgraduate Students, Researchers & Professionals within business, statistics, economics, engineering, andoperations research program

2008 294pp 100Figs. 63Tables 160 x 240 620g Hb ISBN: 978-1-84265-471-2 £ 24.95 / US$ 49.95

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Calculus for Scientists and EngineersAn Analytical ApproachRevised EditionK. D. Joshi

This book is a nonconventional text laying emphasis on the WHY’s of mathematics rather that the HOW’s. It covers the study of functions ofa real variable with the attempt of motivating students about the abstract concepts thereby helping overcome their aversion for abstraction.Adequate exposure to the HOW’s of the mathematics through the exercises is provided along with their answers.

Contents: Preface / Symbols / Nature of Mathematics in General / Nature of Calculus in General / Sequences and Series / Continuity and Derivatives / Integration / Applications ofIntegrals / Appendix A: Construction of Real Numbers / Appendix B: Construction of Ifinitesimals / Answers to Exercises / Index

Audience: Students in a first course of calculus, People working in the area of calculus


Calculus with Maple LabsW. Krawcewicz, B. RaiAudience: Undergraduate Students & TeachersSupplements: Solutions Manual Available for Teachers (ISBN: 978-1-84265-187-2)


Celestial MechanicsRecent TrendsBhola Ishwar

Celestial Mechanics reviews the current state-of-the-art in the area of Space Dynamics and Celestial Mechanics. The contents have beendivided into five parts. The first part contains articles related to Restricted Three Body Problem. The second part contains Satellite Theory,Non-linear motion and stability of two cable connected artificial earth satellites under perturbative forces. In the third part the Gravitationalinteraction between galaxies and motion of the moon is discussed in detail. The fourth part describes the General Celestial Mechanics, thetheory of exo-solar planets confirming the migratory theory of planets and the Geometric Algebra an alternative approach to celestialmechanics. The book ends with the Moon Mission to be carried out by Government of India at Vikram Sarabhai Space Centre, Thiruvananthapuram. The Chapter“Non-traditional Trajectory Designs for Lunar Missions – An Approach for Chandrayaan-I” describes in detail the Moon Missions in different countries.Audience: Graduate-Undergraduate Students, Teachers & Researchers in Physics

2006 348pp 185 x 240 Hb 900g ISBN: 978-81-7319-766-6 £ 74.95 / US$ 150.00

Cohomology of Arithmetic Groups, L-Functions and Automorphic Forms (TIFR)Editor: T. N. VenkataramanaAudience: Postgraduate & Doctoral Students & Researchers

2001 257pp 160 x 240 550g Hb ISBN: 978-81-7319-421-4 £ 22.00 / US$ 44.00

Combinatorial and Computational MathematicsEditors: S. Nanda, G. P. Rajasekhar

Combinatorial and Computational Mathematics serves as an introduction to the current state of knowledge in various areas like FormalLanguages, Applications of Fuzzy Set Theory, Combinatorial Problems, Fluid Mechanics etc. These articles on Multi-Objective programming,Neural Networks, Computational Methods in Fluid Mechanics, and Formal Languages provide applications of well known areas likeComputational Fluid Mechanics, Discrete Mathematics, and Operations Research.Audience: Students & Researchers

2004 280pp 160 x 240 600g Hb ISBN: 978-81-7319-598-3 £ 55.00 / US$ 110.00

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Combinatorial OptimizationEditors: N. M. Shikare, B. N. Waphare

Combinatorial Optimization is the process of finding one or more best (optimal) solutions in a well defined discrete problem space. Such problems occur in almostall fields of management as well as in many engineering disciplines. Many businesses and industries use techniques of discrete optimization to improve theefficiency of their operations.Audience: Teachers & Researchers


Combinatorial OptimizationSome AspectsEditors: Rita Malhotra, C. S. Lalitha, Pankaj Gupta, Aparna Mehra, Sonia

Combinatorial Optimization comprises research-level linear and combinatorial problems together with algorithms and solution-proceduresto solve them. The growing need of the industry and the increase in complexity of conglomerates and multinationals entail focus on twovery significant classes of problems namely Transportation and Assignment Problems included in this volume. Far-reaching variants ofthese problems like the Multi-index and Multi-objective Problems, Bulk Transportation Problems, Flow and Budgetary ConstrainedTransportation Problems and the Three-Axial Sums Problems are investigated and analysed. Extensions to the Two-Stage and Bi-levelAllocation Problems form the salient features of the book. Practical applications of the problems examined are also discussed. This volumeopens new avenues for research in the field of allocation problems.

Contents: Opine / Foreword / Preface / SECTION-1: Variants of the Standard Transportation Problem / SECTION-2: Flow Constrained Transportation Problems / SECTION 3:Lexicographic Approach to Solve Transportation Problems / Section-4: Two Stage Time Minimizing Transportation Problems / Section-5: Transportation Problems with Axial Constraints /Section-6: Bulk Transportation Problems / Section-7: Variants of the Standard Assignment Problem / Section-8: Lexi-search Approach to Solve Assignment Problems / Section-9: Two-stage Time Minimizing Assignment Problems – Two-stage Time Minimizing Assignment Problem / Bilevel Time Minimizing Assignment Problem / References

Audience: Undergraduate Students & Researchers in Mathematics

2007 266pp 185 x 240 750g Hb ISBN: 978-81-7319-815-1 £ 44.95 / US$ 89.95

Complex AnalysisSecond EditionV. Karunakaran

This book, an introduction to basic Complex Analysis at the undergraduate and postgraduate levels, features an integrated approach to theconcept of differentiation for complex valued functions of a complex variable, unified Cauchy Riemann equations, a detailed discussion on theconstruction of Riemann surfaces for elementary functions leading to its abstract concept, step-by-step development of the most general formof Cauchy’s theorem, complex version of the real intermediate value theorem, exhaustive treatment of contour integration and an introductionto the theory of univalent functions on the unit disc including a brief history of the Bieberbach’s conjecture and its solution.New to the Second Edition:

Complete section on Analytic automorphisms on plane domains

Key Features:Solved ProblemsHistorical RemarksSuggestion for further reading

Contents: Preface to the Second Edition / Preface to the First Edition / A Bird’s eye view of the complex plane / Elementary Properties of Analytic Functions / Conformal Mappings /Complex Integral Calculus / Riemann Mapping Theorem / Solved Exercises / Index


2005 438pp 160 x 240 900g Hb ISBN: 978-1-84265-171-1 £ 39.95 / US$ 79.95

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Complex Analysis with Vector CalculusT. M. J. A. Cooray

Based on many years of experience of the author Complex Analysis with Vector Calculus provides clear and condensed treatment ofthe subject. It is primarily intended to be used by undergraduate students of engineering and science as a part of a course in engineeringmathematics, where they are introduced to complex variable theory, through conceptual development of analysis. The book also introducesvector algebra, step by step, with due emphasis on various operations on vector field and scalar fields. Especially, it introduces proof ofvector identities by use of a new approach and includes many examples to clarify the ideas and familiarize students with various techniquesof problem solving.

Contents: Complex Numbers / Complex Analysis / Complex Integration / Indefinite Integrals / Conformal Mappings / Vectors / Systems of Forces / Vector Valued Functions andScalar Functions / Vector Equations / Gradient, Divergence and Curl / Orthogonal Curvilinear Co-ordinates / Line Integrals Surface Integrals and Volume Integrals

Audience: Undergraduate Students in Mathematics

2006 368pp 185 x 240 1000g Hb ISBN: 978-1-84265-360-9 £ 29.95 / US$ 59.95

Computational MathematicsEditors: K. Thangavel, P. Balasubramaniam

Computational Mathematics presents a real life system, which is always challenging for scientists and engineers. Concerned with thedesign and control of continuum systems and processes, it emphasizes the solution of a general class of inverse/design problems andpresents methodologies for dynamic coupling between experiments and computation. The book reviews computational design models thatcan be used to point to the field variables that are best to measure as well as the most effective control mechanisms having major impacton the physical phenomena one is interested to control. The field of computational mathematics also concerns algorithmic developmentalapproach for mathematically driven data mining and reduced-order modeling of continuum systems.Audience: Students and Researchers in Computer Science, Mathematics & Engineering


Computing and Information SciencesRecent TrendsEditor: J. C. MisraContents: Preface / Evolution of Processor Architecture / Hybrid Systems: An Overview of Analysis, Synthesis and Reachability Issues / An Introduction to Support Vector machines /Partitioning Techniques for Reconfigurable Computing. / Pattern Recognition: Soft Computing Approach and Data mining / Web-Based Information Storage, Processing and Retrieval/Intelligent Information Retrieval Systems / From Computational to Wen intelligence / Computer Based Interfaces for People withxxx Special Needs / Introducing Computer Science to VerySmall Children: An Innovative Approach/ ‘Empty Space’: A Complementary Domain for Image Features/ Mathematical Physics and Life / Current Status of Post-Genomics Computation Biology

Audience: Graduates, Teachers, Researchers & Professionals


Computing and Mathematical ModelingEditors: K. Thangavel, P. Balasubramaniam

Mathematics is the common language of modern Science, Engineering, and Business. Techniques of mathematical modeling and data analysisare key instruments in the tool kit of modern practitioners and researchers in a wide array of disciplines. The rapid development of computertechnology has opened up new perspectives, increased the importance of mathematical models and created an urgent need for efficientalgorithms. Reflecting these trends, this edited volume discusses pioneering methods and applications, which precipitate the solution ofcomplex problems - or even make such solutions possible at all. Since visualization has become an important scientific tool, especially in theanalysis of complex situations, it is treated in close connection with other areas covered in this book.Key Features:

Mathematical Modeling and Analysis of Model Systems Numerical Methods and AlgorithmsDevelopment of Simulation Software Optimization and Control Datamining Digital Image ProcessingNeural Network Fuzzy Logic and its Applications Cryptosystems

Contents: Cryptography / Data Mining / Image Processing / Mathematical Modeling / Neural Network / Operations Research / Theory of Computation

Audience: Students, Teachers & Researchers in Mathematics and Computer Science

2006 326pp 185 x 240 850g Hb ISBN: 978-81-7319-720-8 £ 57.50 / US$ 115.00

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Coordinate Geometry: Polar Coordinates ApproachMukut Mani Tripathi

Coordinate Geometry: Polar Coordinates Approach presents a systematic study of straight lines, circles and conics by using the powerful tool of polar coordinates.Concepts are explained by depicting several figures. The book contains sufficient number of solved examples and problems, placed in an appropriate order, to helpunderstand the concepts and techniques. Some (new) examples and problems are included, which cannot be (easily) solved by Cartesian coordinates approach.Hints and/or answers to exercises are given as a last option for the learner. An objective test is also given to check the skill of careful readers.Audience: Undergraduate Students


A Course in Distribution Theory and ApplicationsR. S. PathakAudience: Graduate Students, Teachers & Research Workers

2001 158pp 160 x 240 500g Hb ISBN: 978-1-84265-020-2 £ 32.00 / US$ 64.00

A Course in Ordinary Differential EquationsB. Rai, D. P. Choudhury, H. I. FreedmanAudience: Under & Postgraduate Students


A Course in Real AnalysisMainak Mukherjee

Important topics of undergraduate analysis is covered with no prerequisite necessary. All concepts are explained through largenumber of solved examples and with motivation. A good number of thoughts provoking exercises have been included so that studentcan master the ideas and concept given. Exhaustive Bibliography has been added for further reading on the subject.

Contents: Preface / Introduction / Sequence and Series of Real Numbers / Functions of One Variable / The Riemann Integral / Riemann-StieltjesIntegral / Improper Integrals / Beta and Gamma Functions / Sequence and Series of Functions / Theory of Power Series / Function of Two Variables /Double and Triple Integrals / Line and Surface Integrals

Audience: Undergraduate Students in Mathematics

2009 452pp 185 x 240 Hb ISBN: 978-1-84265-389-0 £ 39.95 / US$ 79.95

A Course of Applied Mathematics for Engineers and PhysicistsMarietta Manolessou

A Course of Applied Mathematics for Engineers and Physicists attempts a synthesis between the various theoretical conceptswith the tools and techniques useful to the engineer, aiming at an equilibrium between mathematical rigour and a practical point ofview with applications in mind.

The main topics discussed are:Linear and non linear AlgebraTopology (Topological and Metric spaces, Convexity Connexity, Orthogonal Projection in Hilbert spaces, etc.)Integration (Lebesgue Integral, Analytic functions, Fourier and Laplace Transforms, Distributions)

The focus is on the applications of the above in Linear and Nonlinear Optimization, Combinatorial Optimization (Graphs), Dynamical Programming,Approximations, Solutions of Integral and Differential equations.

Contents: Preface / Part A – Algebra / Part B – Integration / Part C: An Introduction to General Topology Applications / References

Audience: Undergraduate and Graduate Students of Mathematics, Physics & Engineering2009 300pp 185 x 240 Hb ISBN: 978-1-84265-447-7 £ 27.50 / US$ 52.50

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A Course on Classical MechanicsMadhumangal Pal

Classical Mechanics develops the subject gradually by illustrating several examples for the beginners. The text begins with Newton’slaws, the fundamental formulae of particle dynamics. But, it is known that these laws are not applicable in some cases, viz. therotating frames. The rotating frames and the effect of Coriolis forces are introduced in this book alongwith Lagrangian and Hamiltonianprocedures. The Euler’s method, Euler’s angles and motion of a symmetrical top, the variational principle and its applications, theprinciple of least action, the canonical transformations and two important mechanical tools - Poisson and Lagrange brackets areincorporated in this book. The problems involved in small oscillation are solved by finding eigenvalues and eigenvectors of the kineticenergy and potential energy matrices. The last chapter is devoted to the special theory of relativity.

Contents: Fundamentals of Mechanics / Rotating Frames of Reference / The Lagrangian and Hamiltonian Formulations / Motion of a Rigid Body / Variational Principles /Canonical Transformations / Brackets / Hamilton-Jacobi Equation / Small Oscillations / Special Theory of Relativity

Audience: Undergraduate – Postgraduate Students in Mathematics and Physics

2009 275pp 36 Photographs (B/W) 185 x 240 Hb ISBN: 978-1-84265-518-4 £ 29.95 / US$ 59.95

Differential Equations and Dynamical SystemsEditor: D. BahugunaContents: Preface/ Wavelets and Some Applications/ Trends in Wavelet Methods for Two Point Boundary Value Problems/ Stability and Convergence of Large-Scale StochasticApproximation Procedures Under Markovian Structural Perturbations/ Global Correctness Classes of Functional Solutions for Conservation Laws Systems and Applications in PhysicalKinetics and Continuum Mechanics/ A Nonlinear Gas-Liquid System in Sliding Motion/ On Certain Exact Solutions of a Generalized K-dV-Burger Type Equation via SymmetryApproach/ Semidiscretization of Nonlinear Retarded Differential Equations/ Retarded Differential Equations with Applications to Population Dynamics/ Spectral Methods as Least-Squares Problems/ Finite Element Method for the Extended Fisher-Kolmogorov (EFK) Equation/ Spectral Regularization of a Singularly Perturbed Elliptic Partial Differential Equation/Second Order Semi-linear Evolution Equations/ Model for the Effect of Degrading Habitat on the Existence of Resource-based Single Species System/ Schwarzian Derivative ofCritically Finite Meromorphic Functions/ Hyperbolic Integrodifferential Equations/ References

Audience: Graduate Students & Teachers

2004 245pp 160 x 240 610g Hb ISBN: 978-81-7319-588-4 £ 45.00 / US$ 89.95

Differential Equations forScientists and EngineersJ. B. Doshi

Differential Equations for Scientists and Engineers mainly deals with linear equations, with non-linear equations very brieflydiscussed in the chapter on ordinary differential equations and towards the end of a chapter on some theoretical considerations. Thebook concentrates on the so called analytical or exact solutions of the equations. However, a chapter on semi-analytical treatment,for example, using variational and other methods is also included. Throughout the book the emphasis is on applications and developmentof the solution techniques. Therefore, the theory aspects regarding the existence and uniqueness of solutions and the conditionsunder which these are satisfied are not covered in the book. However, at some places brief mention is made of these and short proofsare offered whenever possible, without disturbing the flow of the text.

Key Features:Large Number of Solved Examples to Illustrate Solution Methods Number of Problems in the Exercises at the End of Each Chapter

Contents: Ordinary Differential Equations / Partial Differential Equations of First Order / Partial Differential Equations of Second Order and Classification of Equations /Concepts in the Series Solutions to Boundary Value Problems using Basis Functions / Fourier Series, Brief Theory and Applications / Hyperbolic Equation (Wave Equation) /Elliptic Equation (Laplace’s Equation) / Parabolic Equation (Heat Equation) / Fourier and Other Transforms, Applications to Infinite Medium / Variational Method and Methods ofWeighted Residuals for the Approximate Solution of Partial Differential Equations / Applications of Semi-Analytical Methods to the Approximate Solution of Partial DifferentialEquations / Non-linear Equations, Some Theoretical Considerations

Audience: Senior Undergraduate – Postgraduate Students & Researchers

2009 400pp 185 x 240 Hb ISBN: 978-1-84265-366-1 £ 49.95 / US$ 98.00

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Differential Geometry of ManifoldsU. C. De, A. A. Shaikh

Differential Geometry of Manifolds discusses the theory of differentiable and Riemannian manifolds to help students understand thebasic structures and consequent developments. Since the tangent vector plays a crucial role in the study of differentiable manifolds, thisidea has been thoroughly discussed. In the theory of Riemannian geometry some new proofs have been included to enable the readerunderstand the subject in a comprehensive and systematic manner.This book will also benefit the postgraduate students as well as researchers working in the field of differential geometry and its applicationsto general relativity and cosmology.

Key Features:Basic concepts Motivation of concepts Coordinate free approach is followed by local expressionsGrasp the theory clearly and deeply Illuminating illustrations Numerous solved exercises

Contents: Preface / Some Preliminaries / Differentiable Manifolds / Exterior Algebra and Exterior Derivative / Lie Group and Lie Algebras / Fibre Bundles / Linear Connections /Riemannian Manifolds / Submanifolds / Complex Manifolds / Bibliography / Index

Audience: Undergraduate – Postgraduate Students in Mathematics

2007 310pp 185 x 240 840g Hb ISBN: 978-1-84265-371-5 £ 29.95 / US$ 59.95

Differential GeometryA First CourseD. Somasundaram

Differential Geometry: A First Course is an introduction to the classical theory of space curves and surfaces offered at the Graduate and Post-Graduate courses in Mathematics. Based on Serret-Frenet formulae, the theory of space curves is developed and concluded with a detaileddiscussion on fundamental existence theorem. The theory of surfaces includes the first fundamental form with local intrinsic properties,geodesics on surfaces, the second fundamental form with local non-intrinsic properties and the fundamental equations of the surface theorywith several applications.

Key Features:Motivation of different concepts Outline of the methods of proofs before giving detailsSimple but interesting immediate illustrations in each section after the theory Illuminating miscellaneous examplesIllustrations of the methods of proofs of the fundamental theorems of space curves and surfaces Exercises with hints

Audience: Graduate & Postgraduate Students


Diophantine Equations (TIFR)Editor: N. Sharada

The field of Diophantine Equations has a long and rich history. It received an impetus with the advent of Baker’s theory of linear forms inlogarithms, in the 1960’s. Professor T.N. Shorey’s contributions to Diophantine equations based on Baker’s theory is widely acclaimed.An international conference was held in his honour at the Tata Institute of Fundamental Research, Mumbai during December 16–20,2005. This volume has evolved out of the conference and it reflects various aspects of exponential Diophantine equations.

Contents: Highlights in the Research Work of T.N. Shorey / An Extremal Problem in Lattice Point Combinatorics / Existence of Polyadic Codes interms of Diophantine Equations / Some Problems of Analytic Number Theory — V / Powers From Five Terms in Arithmetic Progression / Linear Forms inthe Logarithms of Algebraic Numbers Close to 1 and Applications to Diophantine Equations / T.N. Shorey’s Influence in the Theory of Irreducible Polynomials /PolynomialPowers and a Common Generalization of Binomial Thue-Mahler Equations and S-unit Equations / On the Diophantine Equation / On Numbers of the Form ±x2 ± y! / LinearForms in Two and Three Logarithms and Interpolation Determinants / On a Conjecture of Shorey / Algebraic Independence in the p-adic Domain / Remark on p-adic AlgebraicIndependence Theory / Generalized Lebesgue-Ramanujan-Nagell Equations / Around Pólya’s Theorem on the Set of Prime Divisors of a Linear Recurrence / The Number ofSolutions of Some Diophantine Equations / Logarithmic Functions and Formal Groups of Elliptic Curves / On the Greatest Square-Free Factor of Terms of a Linear RecurrenceSequence / Diophantine Approximation and Transcendence in Finite Characteristic / On Irrationality and Transcendency of Infinite Sums of Rational Numbers / The Role ofComplex Conjugation in Transcendental Number Theory

Audience: Postgraduate Students, Teachers & Researchers in Mathematics

2008 320pp 160 x 240 730g Hb ISBN: 978-81-7319-898-4 £ 49.95 / US$ 99.95

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Discrete Mathematical Structuresfor Computer Scientists and EngineersM. K. Das

Discrete Mathematical Structures describes the basic ideas involved along with the mathematical theory of computation. Importancehas been given to problem solving with the understanding of basic theory with stress on the mathematical rigour. Every topic isillustrated with a large number of solved problem of increasing complexities which will help both the beginner and the professionalunderstand the fundamentals involved and enable them to solve various problems given as exercises. This book will also greatlyhelp readers understand the advanced ideas involved in data structure and algorithms, mathematical theory of languages andcomputation etc.

Contents: Elements of Set Theory / Mathematical Logic / Partial Order and Structures / Combinatrics and Algebraic Systems / Finite State Machine and Automata / Languages,Grammar, Pushdown Automata & Turing Machine

Audience: Undergraduate – Postgraduate Students, Professionals & Researchers

2007 554pp 185 x 240 1250g Hb ISBN: 978-1-84265-298-5 £ 39.95 / US$ 79.95

Discrete Mathematics and its ApplicationsEditor: M. Sethumadhavan

Discrete Mathematics and its Applications provides an in-depth review of recent applications in the area and points to the directions ofresearch. It deals with a wide range of topics like

Cryptology Graph Theory Fuzzy Topology Computer Science Mathematical BiologyA resource for researchers to keep track of the latest developments in these topics. Of interest to graph theorists, computer scientists,cryptographers, security specialists.

Contents: Non-linear Secret Sharing and Prime Numbers / ROADS: Role-based Authorization and Delegation System – Authentication, Authorization andApplications / Interactive Program Visualization and Graph Drawing / Frames of Graphs / Number of Relativized Maximum Genus Embeddings / Studying Finite Familites of Sets / APartition of the Non-negative Integers, with Applications to Ramsey Theory / Invitation to Mathematical Computer Science / Sequences; Predictability and Linear Complexity Measures /Hexagonal Array Replacement and Public Key Cryptosystem / Cyclic Attack on RSA Type Scheme based on Singular Cubic Curve / Homogeneous Graph Invariants/ Automatic Extractionof Minimal Cycles for Initialization of Graph Network / Strong/Weak Neighbourhood Sets (K3 coverings) of a Graph / A Graph Theory Approach for Determining Minimum WavelengthRequirements in a Class of Regular Optical WDM Networks for Wide-sense Non blocking Multicast Communication / Geomericity of Complete Graphs / Graph Partitioning in VLSI Designand Testing: A Review / Prime – Dominating Graphs / Arrays and Special Sub arrays / On Discrete Form of FFT / Generalizations of Banach Category Theorem / Semi-preclosed Sets inFuzzy Topology / Novel Approach of Genetic Algorithm – Fuzzy Neural Networks / Computing All Repeats of a Partial Word using Suffix Tree and Valency Tree / Structure Determination ofMembrane Proteins using Discrete Frenet Frames and Solid State NMR Restraints / Report of a Panel Discussion on Discrete Mathematics: Course and Curricula Panel Members

Audience: Graduate Students, Teachers & Researchers

2006 241pp 205 x 280 650g Hb ISBN: 978-81-7319-731-4 £ 49.50 / US$ 98.00

Discrete Structures and Automata TheoryRakesh Dube, Adesh Pandey, Ritu Gupta

Discrete Structures and Automata Theory is designed for an introductory course on formal languages, automata and discrete mathematics.Divided into two parts it covers Discrete Methods - stressing the finite nature in many problems and structures; Combinatorics – the algebraof enumeration or coding and Finite Algebraic Structures - effecting coding theory, method of enumeration, gating networks and combinatorialdesigns. It also discusses the applications of Automata Theory in Compiler design, Natural Language Processing and development of newprogramming languages.

Key Features:Uses numerous figures to help convey ideas Every topic followed by exhaustic examplesExtensive exercises of wide-ranging difficulty levels Presents a graphical notation for PDA’s and Turning Machines

Contents: Preface / Part 1: Discrete Structures: Set Theory / Relations / Functions / Lattices / Theory of Groups / Rings and Field/ Discrete Numeric Functions / GeneratingFunctions / Recurrence Relations / Boolean Algebra / Mathematical Reasoning / Propositional Calculus & Logic / Part 2: Theory of Automata and Formal Languages: Introductionto Automata / Automata with output / Regular Expression and Languages / Properties of Regular Languages / Context free grammar and language / Simplified Context free grammarand its normal form / Push Down Automata / Properties of Context free languages / Turing Machine / The Chomsky Hierarchy/ Notations / IndexAudience: Undergraduate & Postgraduate Students

2006 586pp 185 x 240 1350g Hb ISBN: 978-1-84265-256-5 £ 39.95 / US$ 79.95

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Easy Finite Element Methodwith SoftwarePramote Dechaumphai, Sutthisak Phongthanapanich

Easy Finite Element Method with Software explains fundamentals of the finite element method so that it is easy to understand. The book includes a finiteelement color graphics software which is simple to use on personal computers or notebooks. The finite element theory described in the book together with theaccompanied software can help beginners to understand the entire process of the method quickly.The book presents the use of the method for analyzing problems in different disciplines. These include: (a) thermal, (b) stress, (c) thermal stress, (d) potentialflow, (e) viscous flow, and (f) high-speed compressible flow problems. Their differential equations, finite element equations and matrices are presented. Theaccompanied software, EasyFEM, was developed for beginners who had little or no background on using a finite element software. The software combinesboth the color graphics visualization and the finite element analyzer.

Key Features:Several examples are presented to demonstrate advantages of the finite element method for solving problems that have complex geometryEasyFEM Software

Contents: Preface / EasyFEM / Easy Finite Element Software / Thermal Analysis / Stress Analysis / Thermal Stress Analysis / Potential Flow Analysis / Viscous FlowAnalysis / Compressible Flow Analysis / Appendices / References / Index

Audience: Undergraduate – Postgraduate Students

2009 376pp 420Figs. 185 x 240 Hb ISBN: 978-1-84265-536-8 TBA

An Elementary Course in Partial Differential EquationsSecond EditionT. Amaranath

New to this Edition:Improved presentation Exercises & worked examples at the end of each chapter with solutions Useful for students of Engineering & Physics

Audience: Graduate students of Mathematics, Engineering, Physics

2003 164pp 160 x 240 400g Hb ISBN: 978-1-84265-156-8 £ 25.00 / US$ 49.00

An Elementary Course on Variational Problems in CalculusNaveen KumarThe subject extends the notion of extremum conditions of a function in one variable to such conditions of a function of functions (dependent variable and itsderivatives) in the form of a definite integral. The necessary condition introduces Euler equation which results in an ordinary differential equation whose solutionprovides the desired extremal. The sufficient part is discussed using Legendre and Jacobi conditions. The fascinating variational principle paves the way to find thecurve (line) of shortest distance between two non-intersecting curves in a plane.Audience: Undergraduate & Graduate Students


Elementary Linear AlgebraDevi Prasad

This book Elementary Linear Algebra is a well-organized, lucidly written text introducing the reader to system of equations, vectorspaces, linear transformations, eigen values and eigen vectors. In addition, the book presents the subject in a simple manner for easyunderstanding. A large number of illustrated examples are covered to clarify the theoretical concepts with many unsolved problems forpractice to enhance the presentation of the material.The book is suitable for undergraduate students of science & engineeringAudience: Undergraduate Students

2006 124pp 185 x 240 500g Hb ISBN: 978-1-84265-340-1 £ 12.50 / US$ 22.50

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Elements of Control TheoryK. Balachandran, J. P. DauerContents: Preface / Introduction / Observability / Controllability / Stability / Stabilizability / Optimal Control / Bibliography / Index

Audience: Graduate & Postgraduate Students

1999 116pp 155 x 230 220g Pb ISBN: 978-81-7319-330-9 £ 20.00 / US$ 39.95

Elliptic Curves (TIFR)R. V. Gurjar, Kirti Joshi, N. Mohan Kumar, Kapil H. Paranjape et al.Contents: Foreword / Preface / Part I: Analytic Theory of Elliptic Curves: Doubly Periodic Functions / Riemann Surfaces / Tori / Isomorphism of Tori and thej invariant / All Smooth Cubics are Complex Tori / Moduli / Part II: Algebraic Geometry of Elliptic Curves: Some Results From Commutative Algebra / Varieties /Further Properties of Varieties / Intersection Theory for Plane Curves / Geometry of Curves / Geometry of Elliptic Curves / Structure of Endomorphisms of EllipticCurves / Part III: Arithmetic of Elliptic Curves: Rational Points on Curves / The Mordell-Weil Theorem / Computing the Mordell-Weil Group / The Theorems ofThue and Siegel / Representation of Numbers by Squares / The Conjecture of Birch and Swinnerton-Dyer / Part IV: Appendices / Bibliography / Index

Audience: Students

2006 370pp 160 x 240 800g Hb ISBN: 978-81-7319-502-0 £ 29.95 / US$ 59.95

Engineering MathematicsS. R. K. Iyengar, R. K. Jain

Engineering Mathematics covers the following topics: series (convergence and divergence), Functions of one variable (Mean valuetheorems, application of integration etc.), Functions of several variables, Solution of ordinary differential equations, Laplace transforms,Evaluation of multiple integrals, Vector differential and integral calculus. Based on the experience of the authors in teaching MathematicsCourses for almost four decades at the Indian Institute of Technology, New Delhi, this text book rather than a guide/problem book, laysemphasis on the presentation of fundamentals and theoretical concepts in an intelligible and easy to understand manner.

Key Features:Graded examples in text and problems in exercises are used to explain each theoretical concept and application of these concepts in problem solving.Answers for every problem and hints for difficult problems are provided to encourage the students for self learning.Contains about 400 solved examples and about 1550 unsolved problems in Exercises.

Contents: Foreword / Preface / Sequences and Series / Functions of a Real Variable / Functions of Several Real Variables / Ordinary Differential Equations of First Order / LinearDifferential Equations / Laplace Transformation / Multiple Integrals / Vector Differential and Integral Calculus / Bibliography / Index

Audience: All first Year Engineering students of Universities/ Institutes.

2007 510pp 185 x 240 1000g Hb ISBN: 978-1-84265-417-0 £ 34.95 / US$ 69.95

Finite Element Analysis and ProgrammingAn IntroductionShashishekar Shivaswamy

Finite Element Analysis (FEA) is a widely used technique in many engineering disciplines. Implementing the principles of FEAthrough programming is crucial for a thorough understanding of the subject. In this book, the concepts of FEA and its programming isillustrated uniquely in a transparent manner to the reader using the math package MATHCAD. The details in programming, withsolution at various intermediate stages, are discussed for numerous elements with fully functional codes. Programs written in FORTRANare also presented. The programs presented can be modified easily to meet any individual requirements. The book provides manychallenging problems and programming assignments.

Contents: Introduction / Fundamentals of FEA / Basic Steps in FEA / Displacement Function / Shape Functions / Bar Element / Truss Element / Beam Element / TriangularMembrane Element / Quadrilateral Membrane Element / Axisymmetric Elements / Tetrahedron Element / Prism Element / Hexahedron Element / Plate Element / An Introductionto Dynamic Analysis / Heat Conduction / Inviscid Fluid Flow / Appendix / References / Index

Audience: Under- and Postgraduate Students in Mathematics,Under- and Postgraduate Students & Practitioners in Civil, Mechanical & Aerospace Engineering

2009 376pp 185 x 240 Hb ISBN: 978-1-84265-368-5 £ 39.95 / US$ 79.95

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A First Course in Algebraic TopologySecond EditionB. K. Lahiri

A First Course in Algebraic Topology starts with the basic notions of category, functors and homotopy of continuous mappings includingrelative homotopy. Fundamental groups of circles and torus have been treated along with the fundamental group of covering spaces. Simplexesand complexes are presented in detail and two homology theories-simplicial homology and singular homology have been considered alongwith calculations of some homology groups.

New to the Second Edition:Chapter on: Simplicial Cohomology groups indicating how the duality between homology and cohomology groups acts

Contents: Preface to the Second Edition / Preface to the First Edition / Symbols and Notations / Basic Concepts / Category and Functors / Homotopy / Homotopy Type andRetractions / Paths / The Fundamental Group / Fundamental Group of the Circles / Covering Spaces / Fibrations / Geometric Simplexes and Complexes / Simplicial HomologyTheory / Singular Homology / Simplicial Cohomology Groups / References / Index

Audience: Senior Graduate and Postgraduate Students


A First Course in Functional AnalysisD. Somasundaram

A First Course in Functional Analysis lucidly covers Banach Spaces, Continuous linear functionals, the basic theorems of bounded linearoperators, Hilbert spaces, Operators on Hilbert spaces, Spectral theory and Banach Algebras usually taught as a core course to post-graduatestudents in mathematics. The special distinguishing features of the book include the establishment of the spectral theorem for the compact normaloperators in the infinite dimensional case exactly in the same form as in the finite dimensional case and a detailed treatment of the theory of Banachalgebras leading to the proof of the Gelfand – Neumark structure theorem for Banach algebras.

Key Features:Miscellaneous examples at the end of each chapter Problems of elementary nature illustrate the theory after most of the theoremsChallenging exercises given as theorems

Contents: Banach Spaces / Continuous Linear Functionals / The Basic Theorems of Bounded Linear Operators / Hilbert Spaces / Operators on Hilbert Spaces / Spectral Theory /Banach Algebras / References / Index

Audience: Graduate Students and Teachers

2006 410pp 185 x 240 800g Hb ISBN: 978-1-84265-322-7 £ 29.95 / US$ 59.95

A First Course in Mathematical AnalysisD. Somasundaram, B. ChoudharyAudience: Undergraduate & Postgraduate Students

1996 616pp 22Figs. 140 x 215 640g Pb ISBN: 978-81-7319-064-3 £ 29.95 / US$ 59.95

Foundations of Complex AnalysisSecond EditionS. Ponnusamy

Foundations of Complex Analysis is aimed at giving students a good foundation of complex analysis and provides a basis for solvingproblems in mathematics, physics, engineering and many other sciences. Each chapter is supplemented with well-structured examples, andexercises with hints and outlines for solutions. This book can be used as a textbook for a two semester course in complex analysis, or as asupplementary text for an advanced course in function theory. This second edition has gone through a major revision of the 1995 edition. As faras possible many sections are made less dependent on other sections in order to ensure flexibility in designing a course content.New to the Second Edition:

Hadamard’s three circles theorem Schwarz-Pick lemma Poisson Integral Formula Monodromy theorem Hadamard product representationRiemann mapping theorem Picard’s little theorem

The author has published over 90 research articles, research monographs, and textbooks including Foundations of Functional Analysis (Narosa Publishing House, India).Audience: Undergraduate and Postgraduate Students2005 520pp 112Figs. 185 x 240 1200g Hb ISBN: 978-1-84265-223-7 £ 49.95 / US$ 97.50

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Foundations of Functional AnalysisS. PonnusamyContents: I: Basic Analysis: Analysis and Linear Algebra / Concepts in Metric Spaces / II: Banach Spaces: Normed Spaces/ Contraction Mappings and Applications / LinearOperators in Normed Spaces / III: Hilbert Spaces: Inner Product Spaces / Representation of Linear Functionals Fourier Analysis and Applications / Bibliography / Index

Audience: Sudents, Teachers, Scientists & Engineers


Function Spaces and ApplicationsEditors: D. E. Edmunds, et al.Contents: Preface / Limiting Behaviour of Solutions of a Sequence of Non-Homogeneous Boundary Value Problems / Some Separation Criteria andInequalities Associated with Linear Second Order Differential Operators / Weak Type Estimates for Averaging Operators / Norms of Interpolation OperatorsControlled by the Dicesar Function / On the Garcia-Falset Coefficient in Orlicz Sequence Spaces Equipped with the Orlicz Norm / On Some FundamentalProperties of the Maximal Operator / Nontangential Approach Regions on Groups / Stability of Sobolev Spaces with Zero Boundary Values / Imbeddings ofWeighted Sobolev Spaces / From Hardy to Carleman and General Mean - Type Inequalities / One Dimensional Approximation of Eigenvalue Problems in ThinRods / Some Comments to the Hardy Inequalities / On Asymptotic Behavior of the Approximation Numbers and Estimates of Schatten-Von Neumann Normsof the Hardy-Type Integral Operators / Expansions in Series of Legendre Functions / Over determined Weighted Hardy Inequalities on Semiaxis / HankelConvolution on Some Ultra Differentiable Function Spaces / Embedding Theorems in Functional Analysis / Four Questions Related to Hardy’s Inequality/Optimal Inequalities on Quasinormed Function Spaces/Index

Audience: Postgraduate Students & Researchers

2000 286pp 160 x 240 750g Hb ISBN: 978-1-84265-002-8 £ 72.00 / US$ 135.00

Functional AnalysisSecond EditionK. Chandrasekhara Rao

Functional Analysis, written in a clear and entertaining style for senior and postgraduate students discusses Hilbert spaces, Banach algebras,Operator theory and Topological vector spaces. The book covers many standard results including the Hahn-Banach, open mapping andclosed graph theorems; the Banach-Steinhaus and the Banach-Alaoglu theorems; Riesz-Fischer and Riesz representation theorems; Gelfand-Mazur and Gelfand-Neumark theorem; Bipolar theorem; and the Kolmogoroff criterion for normability.The book is designed for senior undergraduate and postgraduate students of mathematics and mathematical physics.

New to the Second Edition:Chapter on

Lp-spaces

Salient Features:Complete proofs delineated with meticulous detailsSolved problems and extensive exercisesExcellent motivation displayed in each chapter

Contents: Preliminaries / Normed Spaces / Hilbert Spaces / Banach Algebras / Operator Theory / Topological Vector Spaces / Lp-spaces / Bibliography / Index

Audience: Undergraduate and Postgraduate Students

2006 282pp 160 x 240 660g Hb ISBN: 978-1-84265-339-5 £ 39.95 / US$ 79.95

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Fundamentals of Approximation TheoryRevised EditionH. N. Mhaskar, D. V. Pai

This book presents a systematic and in-depth treatment of some basic topics in approximation theory in an effort to emphasize the richconnections of different branches of analysis with this subject. It contains a good blend of both the classical as well as abstract topics in thedomain and their interconnections as appropriate. The approach is from the very concrete to more and more abstract levels. In order toprovide a historical perspective on the results, a section on notes is appended to each chapter with an extensive bibliography. Researcherswill find several references to recent developments. Problems of varying degree of difficulty accompany each chapter. Some of these problemscomplement certain results from the text. The others, more challenging, are drawn from the contemporary research articles. Ample hints areprovided for such problems.Primarily aimed at graduate students and teachers of mathematics, researchers interested in an introduction to the specific results or techniques of approximationtheory will find this book very attractive.

What reviewers said about the First Edition“…there are a few novel features in the book such as the use of the Peetre K-functional, the topic of Hermite-Birkhoff interpolation, and the use of complexvariable methods in the study of Fourier series.”“…a graduate student who was fluent in this book would be prepared for research in almost any area of approximation theory…”

F. Deutsch in Mathematical Reviews, AMS“…this is a rich book and a valuable addition to the literature in a fast growing field.”

D. Gaier in Zentralblatt für Mathematik“I think the book will become a standard reference in the field”.

S.Cobzas in Studia Univ. “Babes-Bolyai”, MATHEMATICA

Contents: Density Theorems / Linear Chebyshev Approximation / Degree of Approximation / Interpolation / Fourier Series / Spline Functions / Orthogonal Polynomials / BestApproximation in Normed Linear Spaces / Bibliography / Symbols and Notation / Index

Audience: Graduate Students, Teachers & Researchers in Mathematics

2007 562pp 160 x 240 1000g Hb ISBN: 978-1-84265-428-6 £ 50.00 / US$ 98.00

Fuzzy Logic and its Application in Technology and ManagementEditors: Debjani Chakraborty, S. Nanda, D. Dutta Majumder

During the last few decades, adoption of fuzzy logic in computation and realizing a large complex system has created tremendous sensationamong the engineers / technologists. There are a few books on application of fuzzy logic in technology and fewer books on fuzzy logic inmanagement. However, the application of fuzzy logic bringing technology and management together, is still a dark continent yet to be discoveredand till date, no such attempt has been made. Using the state-of-the art and especially in the language of technologists and managementresearchers, the proposed book is an excellent blend of the fuzzy mathematics, information technology and operations management.

Contents: Preface / Part 1: Fuzzy, Rough, Soft Set Theory and Analysis – A Partition of a Set through a GIFS / Fuzzy Logic on Affine CL-Algebra /Vagueness, Sorites and Graded Consequence / On Fuzzy Real-valued Sequence Space l(p)F / Topological Concepts in Image Analysis: The Fuzzy Angle / Finitisticness of L-topologicalSpaces Under Sum and Lowen Functor Omega / Complex Fuzzy Matrices / Distance between Fuzzy Matrices and its Application / Partial and Multiple Correlations and Information Energyon Interval-valued Fuzzy Sets/ Basic Properties of Rough Sets and Applications to Distributed Knowledge Systems / On Soft Relation and Fuzzy Soft Relation / Fuzzy Sets and WriterShibram Chakraborty / Part 2: Fuzzy Data Mining and Information Processing – Data Mining & Knowledge Discovery Using a Fuzzy Mathematical Approach, in the Context of IndianAgricultural System Management / Compositional Rule of Inference: A Fuzzy Linear Regression Approach / Fast and Robust Learning through Fuzzy Linear Proximal Support VectorMachines for Multicategory Data Classification / Lossless Join Property in Fuzzy Relational Data Model Using Fuzzy Function / Part 3: Fuzzy Modeling and Decision Making – FuzzyPreference based TOPSIS for Interval Multi-criteria Decision Making / A Soft Computing Procedure for Multiobjective Chance-constraint Programming with Continuous Random Variables /Two-Storage Inventory Model with Variable Demand, Possibility Constraints, Fuzzy Unit Costs and Imprecise Resources / A Reordering Strategy for Single-period Inventory Model withImprecise Demand Information / Constrained Two-person Zero-sum Matrix Games with Fuzzy Goals / Solution of m×n Rectangular Fuzzy Games by Dominance / Part 4: Application ofFuzzy Logic in Technology & Management – Logic, Mathematics and Reality: A Cybernetics and Systems Approach / Sensor Selection in a Connectionist Framework / PROMETHEE:A Decision Support Tool for e-business / Fuzzy Multiobjective Decision Making in an e-University System / Image Texture Segmentation Using 2-D Fuzzy Gabor Filters / Fuzzy LogicApplications in Civil Engineering Management Problems / Personalized Mobile Fuzzy Fractal Ring Tone Generator / A Parallel Self-Organizing Neural Network (SONN) based GradedColor Object Extractor Using a MUSIG Activation Function with CONSENT / An Approach to Design of Fuzzy Rule-base Using Dempster-Shafer’s Evidential Reasoning for TrackingApplication / Uncertainty Management of a Powered Projectile: A Fuzzy Differential Inclusion Approach / Fuzzy Optimization for Energy Allocation in Shops and Establishments of RuralAreas / Selection of Maximum Viewer Programme Slots in Television Channels in Fuzzy Environment / Application of Fuzzy Logic in the Context of Start-up Evaluations / Fuzzy VaR: A NewApproach for VaR Evaluation and Application to the Portfolio Optimization Problem / Part 5: Fuzzy Data Analysis in Medical Technology – Fuzzy Correlation Study to Assess theAssociation between Clinico-epidemiological Features and Progression of Oral Submucous Fibrosis – A Precancerous Condition / Fuzzy Trend Analysis of Healing Wounds Treated withHoney / Fuzzy Regression Analysis of Tissue Trace Metal Content of Radiation Workers / Neuro-fuzzy Rule Generation Enhances Medical Knowledge Base

Audience: Graduate Students, Teachers in Mathematics, Computer Science, Industrial Management, General Engineering, Medical Technology

2007 300pp 160 x 240 700g Hb ISBN: 978-81-7319-733-8 £ 59.50 / US$ 98.00

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Fuzzy Logic and OptimizationEditor: S. Nanda

Fuzzy Theory, based on multi-valued logic, was suggested by L.A. Zadeh in the year 1965 in a paper entitled Fuzzy Sets published inInformation and Control. Since then fuzzy set theory has found applications in several branches of knowledge, more particularly in subjectslike Optimization and Computer Science.This book Fuzzy Logic and Optimization intends to serve as an introduction to the current state of knowledge in fuzzy set theory and itsapplications in the emerging areas like optimization, decision making, linear programming, goal programming, quadratic programming, gametheory, operations research and in related fields.

Contents: An Inventory Model of Deteriorating Items with Non-linear Fractional Objectives in Crisp Environment using Genetic Algorithm / Interactive Fuzzy Geometric ProgrammingMethod for Multi-objective Economic Inventory Model / Single Period Inventory of Differential Items Selling at Two Shops with Different types of Demand / Optimum Inventory Modelof an Item Under a Sales Promotion Scheme / Generalized Invex Functionals and Some Duality Results in Banach Spaces / Multistage Allocation Process in Inventory ControlProgramming / Graceful Lobsters Obtained from Graceful Diameter Four and Six Trees / Convergence and Adjoint of Interval- Valued Fuzzy Matrices / Efficient Algorithms to SolveDisjoint Cliques Problem on Interval Graphs / Some Operators Defined Over Interval-Valued Intuitionistic Fuzzy Sets / Some Operations on Interval-Valued Intuitionistic FuzzyMatrices / Generalized Convexity in Mathematical Programming / New Spectral Theorem for Vector Spaces Over Finite Fields Zp / Generalized Intuitionistic Fuzzy Sets and Some NewOperators / Fuzzy Discriminant Analysis for Linguistic Variables


2006 188pp 160 x 240 520g Hb ISBN: 978-81-7319-746-8 £ 37.50 / US$ 74.95

Fuzzy TopologySecond EditionN. Palaniappan

This book imparts latest developments in various properties of fuzzy topology viz., fuzzy set theory, fuzzy point and its neighbourhoodstructure, Fuzzy nets and Fuzzy convergence, Fuzzy metric, Different fuzzy compactness, Fuzzy connectedness, Fuzzy separation axiomsand properties, Product spaces, Convex fuzzy sets and Fuzzy uniform spaces.

New to this Edition:Chapter on Fuzzy Set Theory

Audience: Senior Graduate and Postgraduate Students

2005 212pp 160 x 240 520g Hb ISBN: 978-1-84265-209-1 £ 38.00 / US$ 75.00

Generalized Motion of Rigid BodyN. Kumar

Beginning with the formula used to derive Euler dynamical equations, this monograph discusses Eulerian, Lagrangian and Hamiltonian approaches to generalizedmotion on rigid body in sequential chapters emphasizing how one approach was extended and simplified by other. The last chapter covers canonical transformationsfrom one phase space to another and invariance of certain properties including Poisson / Lagrange BracketsAudience: Graduate Students of Science & Engineering


Graph Theory and its ApplicationsEditors: R. Balakrishnan, R. J. Wilson, G. Sethuraman

The Scope of graph theory if being increasingly felt because of its wide ranging applications in Computer Science, Computer Science, Communication Engineeringand Management Science etc,. The last three decades have witnessed an upsurge of interest and activity in graph theory, particularly among applied mathematiciansand engineers. Excellent textbooks and a good number of conference proceedings on graph theory are being published periodically all over the world. This bookcovers recent developments of graph theory on:

Graphic Sequences / Decomposition / Graph Labeling / Graph Domination / Ramsay Theory / Algebraic Graph Theory / Specially Structured Graphs andSome Applications of Graph Theory

Audience: Teachers & Researchers

2004 200pp 185 x 240 700g Hb ISBN: 978-81-7319-569-3 £ 49.50 / US$ 98.00

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Graphs, Combinatorics, Algorithms and ApplicationsEditors: S. Arumugam, B. D. Acharya, S. B. Rao

Graphs, Combinatorics, Algorithms and Applications: The research papers contributed by leading experts in their respective fielddiscusses current areas of research in graph theory such as: Graphoidal Covers; Hyper Graphs; Domination in graph; Signed graphs; Graphlabelings; Theoretical computer scienceThis volume will serve as an excellent reference for experts and research scholars working in Graph Theory and related topics.Audience: Students & Researchers


Higher-Order Systems in Classical MechanicsB. Talukdar, U. Das

Higher-order Systems in Classical Mechanics provides a valuable account of the problems in Newtonian mechanics characterizedby higher-order Lagrangians which play a role in diverse areas of physics ranging from generalized electrodynamics to string modelsof elementary particles. In addition to the usual treatment of the direct problem of variational calculus, the solution of the inverseproblem is also discussed with special attention to the existence of Lagrangian and Hamiltanian representations of ordinary andpartial differential equations. Starting from the traditional treatment of classical mechanics, the authors make a smooth transition totopics like Hamiltonian formulation and Hamilton-Jacobi theory of degenerate higher-order systems. Addressing, in particular, theinterest of physicists, equal emphasis is given on both point- and continuum mechanics. As an interesting curiosity, it is demonstrated that Lagrangians withfractional derivatives can bring non-conservative forces within the framework of action principle. A comprehensive introduction is presented for studying thevariational/Noether symmetries of dynamical systems.

Contents: Preface / Lagrangian Mechanics: Higher-order Systems / Hamiltonian Mechanics / Hamilton-Jacobi (H-J) Theory / Theory of Classical Fields I / Theory of ClassicalFields II / Symmetries and Conservation Laws / Appendix A1: Poincaré Lemma / Appendix A2: Inverse Variational Problem / Appendix A3: Lagrangian and HamiltonianMechanics Using Fractional Calculus / Appendix B: Hamilton’s Equations for Constrained System / Subject Index / Author Index

Audience: Advanced Graduate Students & Researchers in Theoretical Physics and Applied Mathematics

2008 236pp 185 x 240 650g Hb ISBN: 978-81-7319-845-8 £ 49.95 / US$ 98.00

Industrial MathematicsEditors: M. C. Joshi, A. K. Pani, S. V. Sabnis

This monograph contains results of recent research interests concerning solution strategies employed for solving real life problems pertainingto Modelling & Scientific Computing, Control & Optimizations and Financial Mathematics.

The topics included are:Modelling of volcanic lava flows, soft drink process, microwave heating, flow inside an industrial transport blower, slurry phase reactorfor Fisher-Tropsch synthesis, ice in transmission linesNumerical solutions of 3-D unsteady flow dynamics in a vessel with aneurysm, viscoelastic contraction fluid flows, anisotropic platebending problems using mixed FEM, elliptic problems by employing parallel spectral method, Stefan problem, Fisher-Kolmogorov equationOptimal sizing and shape optimization in injection moulding process, design optimization of an aircraft wing, control strategies in the transmissionof malariaA decision model for natural oil buying policy and numerical simulation for valuation of American options on stocksA new predictive classifier in data mining, a novel partition approach in large data sets, and task allocation problem

The process of adhesive contact of membranes and beams, variational characterization of resonant states in integrated optical devices, and estimation of windowingerrors in the wavelet based reconstruction in tomographyAudience: Students, Teachers & Researchers

2006 524pp 160 x 240 1000g Hb ISBN: 978-81-7319-577-8 £ 68.00 / US$ 98.00

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MATHEMATICS



Intermediate Mathematical AnalysisRajanikant D. BhattContents: Preface / Metric Spaces: Definition of a Metric Space / Some Examples / Euclidean Metrtic in Kn / Normed Spaces: Normed Spaces /the Sequence Space lp / Topology of Metric Spaces: Topological Spaces / Topology of Metric Spaces / Equivalent Metrics / Subspaces / Sequencesin Metric Spaces / Closure, Interior and Boundary / Complete Metric Spaces: The Cauchy Sequence / Subsequences / Contraction Mapping /Continuity: Continuity Between Metric Spaces / Open Maps, Closed Maps / Uniform Continuity / Homeomorphism and Isometry / Discontinuitiesand All That / Connected Metric Spaces: Connected Metric Spaces / Application of Intermediate Value Theorem / Connected Components / PathConnected Spaces / Compact Metric Spaces: Compactness / Characterization of compact Metric Spaces / Applications / Sequences and Seriesof Functions: Pointwise Convergence / Uniform Convergence / Power Series: Limit Superior and Limit Inferior / Power Series / The CircularFunctions / The Exponential Function / Fourier Series: Orthogonal Functions / Fourier Sine and Cosine Series / Mean Square Convergence ofFourier Series / The Pointwise Convergence of Fourier Series / Appendixes / Bibliography / Index / Index of Symbols

2009 430pp 185 x 240 Hb ISBN: 978-1-84265-514-6 £ 44.95 / US$ 89.95

An Introduction to Measure and IntegrationSecond EditionInder K. RanaContents: Preface to the Second Edition / Preface to the First Edition / Recipe for One Semester Course and Interdependence of the Chapters / Notations used inthe text / Prologue: The Length Function / Riemann Integration / Recipes for Extending The Riemann Integral / General Extension Theory / The Lebesgue Measure ofR and Its Properties / Integration / Fundamental Theorem of The Integral Calculus for Lebesgue Integral / Measure and Integration on Product Spaces / Modes ofConvergence and Lp-Spaces / The Radon-Nikodym Theorem and Its Applications / Signed Measures and Complex Measures / Appendix A: Extended Real Numbers /Appendix B: Axiom of Choice / Appendix C: Continuum Hypothesis / Appendix D: Urysohn’s Lemma / Appendix E: Singular value decomposition of a Matrix / AppendixF: Functions of bounded variation / Appendix G: Differentiable Transformations / References/ Index / Index of Notations

Audience: Undergraduates Students & Teachers


Introduction to Numerical AnalysisThird EditionDevi Prasad

An Introduction to Numerical Analysis is designed for a first course on numerical analysis for students of Science and Engineeringincluding Computer Science. The book contains derivation of algorithms for solving engineering and science problems and also deals witherror analysis. It has numerical examples suitable for solving through computers. The special features are comparative efficiency and accuracyof various algorithms due to finite digit arithmetic used by the computers.

New to the Third Edition:32 Solved Examples Computer Programs in C New Section Added in Chapter 9 on Shooting Methods for Non-linear Equation

Contents: Preface to the Third Edition / Preface to the Second Edition / Preface to the First Edition / Finite Digit Arithmetic and Errors / Non-Linear Equations / System of LinearEquations / Interpolation / Numerical Differentiation and Integration / Ordinary Differential Equations / Eigenvalues and Eigenvectors / Partial Differential Equations / Boundary ValueProblems / Programs / References / Index

Audience: Undergraduate & Graduate Students of Mathematics

2006 452pp 160 x 240 900g Hb ISBN: 978-1-84265-348-7 £ 39.95 / US$ 79.50

Introduction to Rings and ModulesSecond Revised EditionC. MusiliAudience: Postgraduate Students

1997 200pp 140 x 215 260g Pb ISBN: 978-81-7319-037-7 £ 18.00 / US$ 35.95

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An Introductory Course of Statistical MechanicsPalash B. Pal

An Introductory Course of Statistical Mechanics introduces the subject to readers without any prior knowledge of the subject. Inmost textbooks, Statistical Mechanics appears to be a branch of Condensed Matter Physics. This book has a different perspective.It gives great importance to relativistic systems, thus paving the way for various applications of Statistical Mechanics, from nuclearreactions to Astrophysics and Cosmology. Non-relativistic systems and their applications to Condensed Matter Physics are notabandoned either: there are discussions on gases, liquids and magnetic systems. The book ends with one chapter on PhaseTransitions and one on Boltzmann equation. Overall, the book presents Statistical Mechanics from a broader perspectiveencompassing many branches of Physics.

Contents: Preface / Notations / List of Tables and Figures / A Review of Thermodynamics / Microstates and Macrostates / Microcanonical Ensemble / Canonical Ensemble /Grand Canonical Ensemble / Equivalence of Different Ensembles / Non-interacting Bose Gas / Non-interacting Fermi Gas / Heat Capacities / Stellar Matter / ApproximationMethods / Fluids / Ising and Related Models / Inhomogeneous Systems / Phase Transitions / Boltzmann Equation / A: Physical Constants / B: Useful Mathematical Results / C:Books of Related Interest / D: Answers to Selected Exercises / Index

Audience: Undergraduate & Postgraduate Students in Physics


Labelings of Discrete Structures and ApplicationsEditors: B. D. Acharya, S. Arumugam, Alexander Rosa

The problems arising from the study of a variety of labeling schemes of the elements of any discrete structure such as a graph, adirected graph, a hypergraph or a signed graph is a potential area of research with a lots of challenging unsolved problems. Researchpapers giving recent developments and directions for further research on topics such as graceful labelings, graph decomposition,multiplicative labelings, set labelings, sigma graphs, orthogonal labelings, Skolem and Hooked Skolem graceful labelings for graphsand signed graphs, set magic labeling, k-equitable graphs and Arithmetic graphs by leading experts in the respective fields are includedin this volume.This volume will serve as an excellent reference for experts and research scholars working on Graph Labeling Problems.

Contents: Preface / Labelings of Discrete Structures – New Challenges / Uniform Intersection Set-Labelings of a Graph: I Regularisable Graphs / Multiplicatively IndexableGraphs / Some New Perspectives on Arithmetic Graphs / On Set-Valuations of Graphs / Embeddings and NP-Complete Problems for Graceful Graphs / A Note on GracefulLabelings and Graph Decomposition / Common Weight Decomposition Into Minimum Acyclic Graphoidal Covers / Label Graphoidal Covering Number of a Graph / On MultiplicativeLabelings of a Graph / On Set Labelings of Graphs / On Triangular Sum Labelings of Graphs / k-equitable graphs k=2,3 / Sigma Graphs: Survey / Orthogonal Labelings ofGraphs / Skolem and Hooked Skolem Graceful Sigraphs / Skolem Graceful Graphs: A Survey / A Note on Set-magic Graphs / A Graph Labeling Related to Root Lattices / Listof Participants


2008 192pp 160 x 240 500g Hb ISBN: 978-81-7319-860-1 £ 44.95 / US$ 89.95

Linear AlgebraV. Sahai, V. Bist

Beginning with the basic concepts of vector spaces such as linear independence, basis and dimension, quotient space, linear transformationand duality with an exposition of the theory of linear operators on a finite dimensional vector space, this book includes the concepts ofeigenvalues and eigenvectors, diagonalization, triangulation and Jordan and rational canonical forms. Inner product spaces which cover finitedimensional spectral theory, and an elementary theory of bilinear forms are also discussed.

Contents: Preface / Preliminaries / Vector Spaces / Canonical Forms/ inner Product Spaces / Bilinear Forms / Bibliography / Index

Audience: Graduates & Senior Graduate Students

2002 191pp 160 x 240 400g Hb ISBN: 978-1-84265-080-6 £ 25.00 / US$ 49.50

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The fact that his(Ramanujan’s) earlyyears were spent in amathematically andscientifically sterile

atmosphere, that hislife in India was not

without hardships, thatunder circumstances

that appeared to mostIndians as nothing

short of miraculous,he had gone to

Cambridge supportedby eminent mathema-

ticians, and hadreturned to India

with every assurancethat he would be

considered, in time,as one of the mostoriginal mathemati-

cians of the century . .

S. Chandrasekhar,Nobel Laureate

2008 476 pages 240mm x 305mm 1700g Hardback ISBN: 978-1-84265-507-8 £ 179.95 / US$ 359.95

THE LOST NOTEBOOKAND OTHER UNPUBLISHED PAPERS

MATHEMATICAL WORKS OF

SRINIVASA RAMANUJAN

The Lost Notebook, with an introduction by George E. Andrews anda short biography by S. Raghavan, consists of 90 unpaginated sheetsrepresenting Ramanujan's work on q-series and other topics followedby letters written by Ramanujan to G.H. Hardy on many mathematicaltopics including “coefficients in the 1 / g3 and 1g2 problems” as well asthe only available remnant of his famous letter dated 12th January1920 on mock theta functions.

The nearly 650 formulas in The Lost Notebook cover approximately:• q-series and related topics including mock θ-functions – 60%• Modular equations and relations, singular moduli – 30%• Integrals, Dirichlet series, congruences, asymptotics,

miscellaneous – 10%

The Lost Notebook includes a hitherto unpublished manuscriptof Ramanujan’s on “Properties of p(n) and τ(n) …” dealing withcongruence relation satisfied by these arithmetical functions, 28 sheetscopied from the “Loose Papers” of Ramanujan held in the TrinityCollege Library which include notes on “Reciprocal functions”,“Approximate summation of series involving prime numbers”,Ramanujan’s discoveries on Euler products for Dirichlet series associ-ated to modular forms and Ramanujan’s “forty identities”, withrelevant sheets in Ramanujan's handwriting.

The subsequent 117 pages include Ramanujan’s unpublished workrelated to “Highly composite numbers” and “On certain trignometricalsums…” with Hardy’s notings thereon as also class invariants listed byRamanujan with a host of interesting identities of an arithmetic nature.

The Lost Notebook also carries letters between J.E. Littlewood, G.H.Hardy, Ramanujan and G.N. Watson, etc. with a bearing onRamanujan’s work and various other letters of some significanceincluding E.H. Neville’s letter on Ramanujan extracted from Nature of20th January 1921.

Reissued coinciding with 120th Birth Anniversary ofSrinivasa Ramanujan (22.12.1887 – 26.04.1920)

A must

for eve

ry

Mathem

atician

MATHEMATICS


Mathematical AnalysisSatish Shirali, Harkrishan L. Vasudeva

This volume provides an exhaustive introduction to basic Mathematical Analysis suitable for senior undergraduate and beginning graduatestudents. Its leisurely approach to the subject matter ensures that the ideas take root gradually but firmly.

Key Features:Thorough development of the real number system starting from axioms of a complete ordered field: definition of natural numbersas elements of the smallest inductive subset with a proof why k and k + 1 are consecutive, justification of the odd-even dichotomyand decimal representation.Necessity of completeness if functions with everywhere zero derivative are to be constant. Early proofs of basic properties of continuous functions.Foundations of exponential and trigonometric functions without general properties of power series.Possibility of “Precalculus” in a number system smaller than the reals.Wealth of examples to illustrate concepts. Over 400 exercises — to test understanding — with hints/solutions to most of them.Alternative routes through the subject to suit a variety of courses. For instance, metric spaces can be omitted; the real number system may be definedeither via Dedekind cuts or as a complete ordered field.

Contents: Preface / The Real Number System / More About the Real Number System / Continuous Functions on an Interval/ Real and Complex Sequences / Real and ComplexSeries / Metric Spaces / Sequences and Series of Functions / Uniform Approximation / Differentiation / More About Differentiation / The Riemann Integral / More About the RiemannIntegral / Stieltjes Integral / Additional Problems / References / Index

Audience: Undergraduate & Graduate Students

2006 450pp 185 x 240 1100g Hb ISBN: 978-1-84265-321-0 £ 34.95 / US$ 69.95

Mathematical Analysis and ApplicationsEditors: S. Nanda, G. P. RajasekharMathematical Analysis and Applications intends to serve as an introduction to the current state of knowledge in various areas like Fuzzy Topological spaces,Operator Theory, Variational Inequalities, and Number Theory etc. These articles on Fuzzy functions, applications of Functional Analysis and Complementarityproblems provide applications of classical areas such as functional analysis, topology, algebra and function spaces with new perspectives in the relatively new areas.Audience: Students & Researchers

2004 260pp 160 x 240 700g Hb ISBN: 978-81-7319-597-6 £ 48.00 / US$ 95.00

Mathematical Analysis and ApplicationsAn IntroductionJ. V. DeshpandeContents: Numbers and Functions: Rational Numbers / Induction Principle / The Real Number System / Sets and Functions / Convergence and Continuity: Sequences / ContinuousFunctions-I / Continuous Functions-II / Infinite Series / Differentiation and Approximation: Differentiable Functions / Mean Value Theorems / Taylor's Theorem; Approximation / PowerSeries Maps / Integration and Differential Equations: Differential Equations-I / Differential Equations-II/ Riemann Integration-I/ Riemann Integration-II / Riemann Integration-III

Audience: Undergraduate Students


Mathematical and Computational ModelsEditors: R. Nadarajan, R. Anitha, C. Porkodi

The ability to construct a mathematical model for solving complex problems is an art. Computational models enable the study ofcomplex dynamic problems in the real world. Mathematical and Computational Models provides an in-depth review of original researcharticles in the field of Stochastic Models and Optimization Techniques, Graph Theory, Soft Computing, Theoretical Computer Science,Cryptography and Security in ComputingIt is an interdisciplinary field of academic study which aims at modeling natural, biological and engineering research problems. It willbe of great interest and use to researchers and scientists in various fields.Contents: Preface / Stochastic Models and Optimization Techniques / Graph Theory / Soft Computing / Theoretical Computer Science / Cryptography and Security inComputing / General Mathematics

Audience: Students & Researchers in Mathematics, Engineering & Computer Science


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Mathematical MethodsS. R. K. Iyengar, R. K. Jain

Based on the experience and the lecture notes of the authors while teaching Mathematics courses for more than four decades. Thiscomprehensive textbook covers the material for one semester core course in mathematics for Engineering students. The emphasis is onthe presentation of fundamentals and theoretical concepts in an intelligible and easy to understand manner. Graded sets of examples (intext) and problems (in exercises) are used to explain each theoretical concept and application of these concepts in problem solving.Answers for every problem and hints for difficult problems are provided.This text offers a logical and lucid presentation of both theory and techniques for problem solving to motivate the students in the study andapplication of mathematics to solve Engineering problems.

Contents: Matrices and Linear System of Equations / Eigen value Problem / Solution of Algebraic and Transcendental Equations / Interpolation / Least Squares Approximation / NumericalDifferentiation and Integration / Numerical Solution of Ordinary Differential Equations / Fourier Series and Fourier Integral / Fourier Transforms / Z transforms / Partial Differential Equations


2006 417pp 185 x 240 1000g Hb ISBN: 978-1-84265-341-8 £ 27.50 / US$ 54.95

Mathematical StatisticsA Text BookSuddhendu Biswas, G. L. Srivastava

A lucid presentation of modern probability theory based on Measure theoretic approach with examples. Presentation of the genesisof all standard probability distributions (Discrete, Absolutely Continuous and Singular Distributions) inclusive of circular, Singulardistributions. New Interpretations of some distributions like Pareto, Logistic etc. Characterization of Distributions and inclusion ofCensoring of Distributions is a unique feature of the book. Coverage of Regression Analysis in a text book of statistical methodologyis also a new feature of the book. A large number of solved and unsolved examples is also a special feature of the book.

Contents: History of Statistical Thoughts / Mathematical Background of Measure Theory / Probability Theory / Distribution Theory / Expectations, Stochastic Convergenceand Limit Theorems / Specific Distributions (Discrete and Absolutely Continuous) / Regression and Correlation / Regression Analysis / Characterizations of Some Basic Discreteand Absolutely Continuous Distributions / Parametric Statistical Inference and Censoring of Distributions / Nonparametric Statistical Inference and Order Statistics / LargeSample Theory and Transformations in Statistics / Non-central Distributions and Multivariate Analysis

Audience: Undergraduate - Postgraduate Students & Researchers

2009 300pp 185 x 240 Hb ISBN: 978-1-84265-489-7 £ 24.95 / US$ 49.95

Mathematical Theory of Continuum MechanicsR. ChatterjeeAudience: Undergraduate Students & Academicians

1999 287pp 155 x 230 358g Pb ISBN: 978-81-7319-244-9 £ 18.00 / US$ 34.95

Metric SpacesSecond EditionP. K. Jain, K. Ahmad

Encouraged by the response to the first edition the authors have thoroughly revised Metric Spaces by incorporating suggestions received from the readers.

Contents: Preface / Preliminaries / Introductory Concepts / Completeness / Continuous Functions / Compactness / Connectedness / Fixed Point Theorems & Their Applications

Audience: Postgraduate Students & those preparing for Competitive Examinations


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Modeling and SimulationPratiksha Saxena

Modeling and Simulation designed for students of engineering and computer application courses as well as for operations researchspecialist, system analyst. Modeling and Simulation provides basic knowledge in the use of simulation techniques in a simple andapproachable way. Introduction to discrete-event simulation with coverage of computer and statistical issues are the main features.Mathematical treatment of the theory is combined with programmed examples of how to put the theory into proper practice. This bookemphasises on a complete overview of computer simulation and its application. It also provide indepth discussion of different typesof simulation models, like inventory and queuing models. It presents aspects of stochastic simulation and statistical reliability.

Contents: System Definition and Components / System Simulation / Simulation of Continuous Systems / System Dynamics / Simulation of PERT Networks / Simulation Software

Audience: Postgraduate Students & Professionals

2009 350pp 185 x 240 Hb ISBN: 978-1-84265-476-7 £ 29.95 / US$ 59.95

Modern Applied MathematicsEditor: J. C. Misra

This comprehensive volume introduces educational units dealing with important topics of Modern Applied Mathematics. Chapters includecomprehensive information on different topics such as: Methods of Approximation for Mapping in Probability Spaces, Mathematical Modelling ofSeismic Sources, Climate Variability, Geometry of Differential Equations, Modelling of Particle-Driven Gravity Currents, Impulsive Free-SurfaceFlows, Internal Wave Propagation, Isogroups and Exact Solutions of Higher Order Boltzman Equation, Molecular and Particle Modelling, AsymptoticBehaviour of Solutions of Nonlinear Partial Differential Equations, Mixed Boundary Value Problems, Dual Integral Equations, Dual Series Equationsand their Applications, Evolutionary Mechanisms of Organization in Complex Systems, Zero-Sum Differential Games, Bernoulli Convolutions,Probability Distribution Functions, O.D.E. Approach to Stochastic Approximation, Bayesian Inference on the Long Range DependenceAudience: Graduate Students, Teachers & Researchers2005 508pp 185 x 240 1280g Hb ISBN: 978-81-7319-492-4 £ 95.00 / US$ 155.00

New Engineering MathematicsA. Chandra Babu, C. R. Seshan

Volume INew Engineering Mathematics Volume I introduces the basics of selected topics in applicable mathematics i.e. matrices, three-dimensional analytical geometry, geometrical applications of differential calculus, functions of several variables and differentialequations. Beginning with basic concepts, the topics are developed systematically with precision and elegance. Each chapter containsan introduction with the relevant definitions and concepts. The study of matrices and three-dimensional analytical geometry iscomplete in all respects. Geometrical applications of differential calculus include essentials on curvature, involutes, evolutes, andenvelops. Partial differentiation of functions of several variables, its applications and ordinary differential equations are also discussed.Contents: Matrices / Three Dimensional Analytical Geometry / Geometrical Applications Of Differential Calculus / Functions Of Several Variables /Ordinary Differential Equations

Audience: Undergraduate Students2006 372pp 185 x 240 700g Hb ISBN: 978-1-84265-291-6 £ 19.95 / US$ 39.00

Volume IINew Engineering Mathematics Volume II covers a few core topics in classical mathematics i.e. multiple integrals, vector calculus,analytic functions, complex integration, and Laplace transforms. Methods of double and triple integration in Cartesian, cylindrical andspherical polar coordinates are introduced in a systematic manner. Beginning with the basic concepts of vector methods, the textcovers the theory of vector calculus including the classical theorems of Green, Gauss and Stoke involving line, surface and volumeintegrals. Analytic functions and their properties are explored. The basics of complex integration and related theorems of Cauchy,Taylor and Laurent and applications to contour integration are discussed with a number of model problems. A detailed treatment ofLaplace transforms, its general properties and applications to solutions of linear differential equations is given for easy understandingof concepts in this classical theory.Contents: Multiple Integrals / Vector Calculus / Analytic Functions / Complex Integration / Laplace Transforms

Audience: Undergraduate Students2006 446pp 185 x 240 750g Hb ISBN: 978-1-84265-292-3 £ 19.95 / US$ 39.00

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New Engineering MathematicsA. Chandra Babu, C. R. Seshan

Volume IIINew Engineering Mathematics Volume III deals with some of the more advanced and specialized topics in higher applied mathematicsi.e. partial differential equations, Fourier series, boundary value problems, Fourier transforms and Z-transforms. In the chapter on partialdifferential equations, methods of formulating practical problems in terms of partial differential equations, finding their solutions andphysically interpreting the results are discussed. Fourier series, their different possible forms and practical harmonic analysis are introduced.The classical boundary value problems – wave equation and heat equation - and their solutions using Fourier series method are discussed.The chapter on Fourier transforms contains the applications of Fourier integral theorem, convolution theorem and related concepts. Adetailed treatment of Z-transforms, its general properties and applications to solutions of difference equations is given in the last chapter.Contents: Partial Differential Equations / Fourier Series / Boundary Value Problems / Fourier Transforms / Z – Transforms And Difference Equations


2006 252pp 185 x 240 600g Hb ISBN: 978-1-84265-293-0 £ 19.95 / US$ 39.00

Nonlinear Functional AnalysisR. AkerkarAudience: Postgraduate Students & Teachers

1999 167pp 140 x 215 250g Pb ISBN: 978-81-7319-230-2 £ 20.00 / US$ 37.50

Nonlinear Waves and Diffusion ProcessesB. Mayil Vaganan

Nonlinear analysis has become an indispensable tool in the exploration of a wide range of physical phenomena. This book is devoted totransformation techniques, asymptotic analysis and symbolic and numerical computations of nonlinear wave propagation and diffusion processes.Each paper discusses a nonlinear problem in detail and depth so as to provide the reader with impetus to vigorously pursue research innonlinear waves and diffusion.The applied mathematicians, mathematical physicists, engineers and post-graduate students will find this volume extremely useful as itdepicits a comprehensive picture of nonlinear science with its tremendous range of applications.Audience: Postgraduate Students, Engineers & Mathematicians

2006 98pp 160 x 240 440g Hb ISBN: 978-81-7319-701-7 £ 24.95 / US$ 49.95

Numeric Computing in FortranSujit Kumar Bose

Scientific enquiry mostly require computation of mathematical models. Numeric Computing in Fortran endeavors to systematicallydevelop the principal methods of solution of such problems, develop the algorithms in an organized manner and provides understandablecomputer codes in simple statements of Fortran 90/95 – a traditional language for such purposes. This forward looking version of thelanguage is fully backward-compatible to facilitate integration with user written programs. The mathematics behind the computationalmethods is kept at a moderate level and proofs of the theoretical results are provided in most cases.The book will be useful for traditional courses of Numerical Methods/ Analysis in Engineering, Natural Sciences and Mathematics. Itwill be a useful text for researchers in these subjects and for those who prefer to write their own programs.

Contents: Preface / Computation in Fortran / Equations / System of Equations / Interpolation / Differentiation and Integration / Ordinary Differential Equations / PartialDifferential Equations / Approximation / Matrix Eigenvalues / Fast Fourier Transform / Bibliography / Index


2009 432pp 14Figs. 14Tables 185 x 240 Hb ISBN: 978-1-84265-477-4 £ 39.95 / US$ 79.95

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Numerical Analysis for Scientists and EngineersTheory and C ProgramsMadhumangal Pal

Numerical Analysis for Scientists and Engineers develops the subject gradually by illustrating several examples for both the beginners andthe advanced readers using very simple language. The classical and recently developed numerical methods are derived from mathematicaland computational points of view. Different aspects of errors in computation are discussed in detailed. Some finite difference operators anddifferent techniques to solve difference equations are presented here. Various types of interpolation, including cubic-spline, methods and theirapplications are introduced. Direct and iterative methods for solving algebraic and transcendental equations, linear system of equations,evaluation of determinant and matrix inversion, computation of eigenvalues and eigenvectors of a matrix are well discussed in this book. Detailed concept of curve fittingand function approximation, differentiation and integration (including Monte Carlo method) are given. Many numerical methods to solve ordinary and partial differentialequations with their stability and analysis are also presented. The algorithms and programs in C are designed for most of the numerical methods. This book is alsosuitable for competitive examinations like NET, GATE and SLET, etc.

Contents: Preface / List of Algorithms and Programs / Errors in Numerical Computations / Calculus of Finite Differences and Difference Equations / Interpolation / Solution ofAlgebraic and Transcendental Equations / Solution of System of Linear Equations / Eigenvalues and Eigenvectors of a Matrix / Differentiation and Integration / Ordinary DifferentialEquations / Partial Differential Equations / Least Squares Approximation / Bibliography / Index

Audience: Undergraduate – Postgraduate Students in Mathematics & Engineers

2007 674pp 185 x 240 1500g Hb ISBN: 978-1-84265-364-7 £ 54.95 / US$ 98.00

Numerical Analysis in EngineeringRevised EditionR. B. Bhat, S. Chakraverty

Numerical Analysis in Engineering deals with the methods of obtaining numerical solutions to engineering problems. The topics discussedare normally covered in undergraduate engineering programs. These include an introduction to digital computers, function representationusing Taylor’s series, error considerations in iterative type computations, searching for roots of equations in a single variable, solution ofsimultaneous equations, function approximation and interpolation, numerical integration and differentiation, matrix eigenvalue problems,solution of nonlinear system of equations, and solution of ordinary and partial differential equations. Advanced topics such as the generationof boundary characteristic orthogonal polynomials, boundary value problems have also been dealt with.

Contents: Preface / Solution of Equations for engineering Design and Analysis / Numerical Search for Roots of Algebraic and Transcendental Equations / Methods of Solve LinearSimultaneous Equations / Function Approximation or Interpolation / Numerical Integration / Numerical Differentiation / Matrix Eigenvalue Problems / Solution of Equations for EngineeringDesign and Analysis / Numerical Solutions of Ordinary Differential Equations / Introduction to Partial Differential Equations / Introduction to the Theory of Linear Vector Spaces /Solution of Boundary Value Problems / Problems / References / Index

Audience: Undergraduate -Postgraduate Students & Teachers


Numerical Computational MethodsP. B. Patil, U. P. Verma

Though Analytical and/or Experimental solutions for every problem are not possible, approximate solutions are. Numerical methodsprovide the best approximation among all. This text presents a host of numerical methods, their algorithmic presentation and computerprograms in Visual Basic, FORTRAN and C++. Perhaps it is for the first time that any book provides numerical methods in Visual Basic.The text is exhaustive and illuminates basic derivations of the formulae to be converted into programs. For each program algorithm isexpressed and each step of the algorithm can be directly converted into computer program statement. All topics are explicit in nature, selfexplanatory and student friendly. Solved problems accelerate the grasp of the particular numerical method. This can be used both as a textand a good reference book for any researcher who needs numerical evaluations in his work. The reader is expected to have only elementary knowledge ofdifferentiation and integration.Contents: Numerical Method, Error and Algorithm / Numerical Solutions of Transcendental Equations / Elimination Methods for Solving Simultaneous Equations / Solutions ofSimultaneous Equations Iterative Methods / Solutions of Eigen-Equations / Interpolation / Least Square Curve Fitting / Numerical Differentiation / Numerical Integration / Solutions ofOrdinary Differential Equations / Numerical Solutions of Partial Differential Equations / Optimization / Monte Carlo Method/Essential of programming language / How to use VisualBasic Programming / About C++ programming / Programs in Visual Basic / FORTRAN / C++ / Bibliography / Index

Audience: Students of Engineering, Computer Science disciplines, Pure & Appiled Physics, Mathematics, Information Technology andResearcher Students in Various Disciplines


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Numerical Methods for Engineers and ScientistsSecond EditionJ. N. Sharma

The rapid advances made in high speed computing and the revision of curriculum of undergraduate and postgraduate programs both atnational and international levels have led to many need based changes and new features in this edition causing it to differ substantiallyfrom the first edition.Although numerical methods have always been useful, their role in the present day scientific computations and research is of fundamentalimportance. The contents of this self-contained text book on computational numerical methods have been organized in a logical order andthe topics are discussed in a systematic manner.New to the Second Edition:

A new chapter on features and fundamentals of C languageQR method and Chebyshev polynomials with applications to Lanczos process of economization of power series

Contents: Preface to the Second Edition / Preface to the First Edition / Numerical Computations and Error Analysis / Algebraic and Transcendental Equations / System ofSimultaneous Algebraic Equations / Interpolation and Function Approximations / Numerical Differentiation and Integration / Ordinary Differentiation Equations / Partial DifferentialEquations / Integral Equations / C Language and Programs / Answers to Key Problems / Appendix / Bibliography / Index

Audience: Doctoral & Postgraduate Students, Teachers & Researchers

2007 386pp 185 x 240 1000g Hb ISBN: 978-1-84265-365-4 £ 38.00 / US$ 75.00

Numerical Optimization with ApplicationsSuresh Chandra, Jayadeva, Aparna Mehra

The main aim of the text is to provide a focused and detailed study of various numerical optimization methods and their applicationsin Science. Engineering and Management. Apart from discussing standard optimization methods and their traditional applications,the book includes some very recent topics like Semi-definite Programming. Second Order Cone Programming, Evolutionary Methodsand Global optimization. An attempt has been made to present some modern and non-conventional applications of numericaloptimization in the areas of Machine Learning, VLSI Design/ Electrical Circuits and Financial Mathematics. A distinctive feature of thebook is also to provide basic MATLAB codes as building blocks for readers to develop their own codes for various algorithmsdiscussed in the book.

Key Features:A class room teaching style of the presentationNon-conventional and Modern applications of numerical optimization in the areas of Machine Learning, VLSI Design / Electrical Circuitsand Financial Mathematics.Basic MATLAB codes as building blocks for various algorithms.A good collection of end chapters exercises some of which have been specifically constructed for the book.Suitable as a textbook on optimization for M. Sc., B. Tech/ M. Tech as well as MBA students.

Contents: Introduction / Linear Programming / Mathematics of Linear Programming / Duality in Linear Programming / Transportation and Assignment Problems / IntegerLinear Programming / Convex Functions and Convex Optimization: An Elementary Introduction / Optimality Conditions and Duality in Nonlinear Programming / QuadraticProgramming / Unconstrained Optimization Techniques / Nonlinear Programming with Linear Constraints / Nonlinear Programming with Non-linear Constraints / ComputationalComplexity and Karmarker’s Algorithm for Linear Programming / Some Generalized Convex Functions and Fractional Programming / Multi-objective Optimization: Theory andMethods / Semi-definite Programming / Evolutionary Methods and Global Optimization / Mathematical Programming Applications in Machine Learning / Mathematical ProgrammingApplications in VLSI and Electrical Circuits / Mathematical Programming Applications in Financial Mathematics

Audience: Undergraduate and Postgraduate Students, Professionals & Researchers

2009 600pp 185 x 240 Hb ISBN: 978-1-84265-427-9 £ 44.95 / US$ 85.00

Operations ResearchK. Chandrasekhara Rao, S.L. MishraContents: Preface / Introduction / Mathematical Background / Linear Programming: Graphical Method / Linear Programming: Simplex Method / Duality in Linear Programming /The Revised Simplex Method / The Transportation Problem / Assignment Problem / Game Theory / Dynamic Programming / Integer Programming Problem / Project Management /Decision Theory / Sensitivity Analysis / Goal Programming / Queueing Theory / Bibliography / Index

Audience: Undergraduate & Graduate Students of Engineering / Management & Teachers

2005 348pp 160 x 240 700g Hb ISBN: 978-1-84265-120-9 £ 50.00 / US$ 98.00

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Operations Research MethodsSujit K Bose

The science of Operations Research seeks efficiency and economy in organizational setups engaged in many economic activities. Thisbook develops important mathematical models cropping up in different decision-making situations in a general manner and then proceeds togive algorithmic development of methods of solution. Though the methods of solution are very diverse in nature, the mathematical toolsemployed are mainly matrix algebra and elements of probability theory.This book will be useful as a text for a one-semester course in engineering and science and as a reference in economics and business administration.

Contents: Preface / General Features of Operations Research / Linear Programming / Transportation and Assignment Models / Network Models / Integer and Dynamic Programming /Decision Analysis / Queuing Models / Simulation Approach / Bibliography / Index

Audience: Undergraduate & Postgraduate Students in Computer Science, Mechanical (Production), Construction and Chemical Engineering,Mathematics, Economics and Business Administration


Optimal Maintenance of Large Engineering SystemPractical Strategies for Effective Decision MakingA. K. Verma, A. Srividya, P. G. Ramesh

Maintenance has an essential role in ensuring that engineering systems perform at expected levels of reliability, availability and safety in a cost effectivemanner and in keeping with the corporate demands. A review of extensive research in the field of maintenance indicates that most models either have over-simplified assumptions or are analytically and computationally too intensive for practical application. Optimal Maintenance of Large Engineering Systemendeavors to address this anomaly for the maintenance decision maker and researcher. The book brings under one roof, a critical discussion on the classicaland contemporary analysis of maintenance models, presentation of maintenance decision as a multi-objective optimization problem using genetic algorithmsand use for fuzzy logic for handling uncertainty and expert opinion or domain knowledge with particular reference to maintenance of large engineeringsystems. There are also necessary inputs to equip the readers with the necessary skills, such as genetic algorithms, fuzzy sets, bayesian statistics, etc., aswell as a detailed exposure to tools and techniques for maintenance planning and management, CMMS and expert systems.

Contents: Introduction / Modeling for Maintenance Decisions / Maintenance of Engineering Systems: A Multi-Criteria Problem / Multi-Objective Maintenance Optimizationusing Genetic Algorithms / Uncertainty in Maintenance Decisions / Fuzzy Maintenance Decision Making / Optimal Spare Parts Inventory Decisions / Maintenance Costing /Maintenance Management with Learning / Maintenance Planning: Tools and Strategies / Appendices / References / Bibliography / Index


2009 350pp 100Figs. 185 x 240 Hb ISBN: 978-1-84265-524-5 £ 49.95 / US$ 99.00

OptimizationTheory and PracticeM. C Joshi, K. M. Moudgalya

Optimization: Theory and Practice is ideally suited for a first course on Optimization. It gives a detailed mathematical exposition to variousoptimization techniques. The presentation style retains abstract flavor of the mathematical framework as well as applicability potential oftechniques, thereby making the text useful to both scientists and engineers. The topics covered are: Single and multi-dimensional optimization,Linear programming, Nonlinear constrained optimization and Evolutionary algorithms.Audience: Undergraduate and Graduate Students


Ordinary Differential EquationsA First CourseD. SomasundaramContents: Preface / Higher Order Linear Differential Equations / Power Series Solutions / Functions of Differential Equations / Existence and Uniqueness of Solutions / Systems ofLinear Differential Equations

Audience: Senior Graduate & Postgraduate Students

2001 304pp 160 x 240 500g Hb ISBN: 978-1-84265-069-1 £ 35.00 / US$ 69.95

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Ordinary Differential EquationsAn IntroductionB. Rai, D. P. Choudhury

This textbook primarily intended for Undergraduate, Honours and Engineering courses presupposes no background other than elementarycalculus. All the methods given in the text are explained with the help of solved examples. A large number of unsolved exercises have alsobeen provided on each topic.

Contents: Preface / Introduction / Solvable First Order Equations / Applications of First Order Equations / Theoretical Considerations / Linear DifferentialEquations I / Linear Differential Equations II / Systems of Differential Equations / Numerical Methods / Answers to Selected Exercises / Bibliography / Index



Ordinary Differential EquationsModern PerspectiveM. C. Joshi

Presents a unified and comprehensive treatment to a wide variety of topics including Initial Value Problems, Boundary Value Problems,Green’s Function, Stability Analysis and Coloured Theory. Uses abstract formulation in the underlying spaces and hence amenable to themodern tools of linear and Nonlinear Analysis. Brings clarity by displaying theoretical results with illustrative examples and graphics atappropriate places. Several examples, drawn from applied areas, are continuously tracked to highlight the applicability of important theorems.Needs no prerequisites except the basic knowledge of Linear Algebra and Advanced Calculus.Audience: Undergraduate & Postgraduate Students

2006 270pp 160 x 240 650g Hb ISBN: 978-1-84265-306-7 £ 34.95 / US$ 64.95

Partial Differential Equations for Engineers and ScientistsSecond EditionJ. N. Sharma, Kehar Singh

Partial Differential Equations for Engineers and Scientists presents various well known mathematical techniques such as variable ofseparable method, integral transform techniques and Green’s functions method, integral equations and numerical solutions to solve anumber of mathematical problems. This comprehensive and compact text book, primarily designed for advanced undergraduate andpostgraduate students in mathematics, physics and engineering is enriched with solved examples and supplemented with a variety ofexercises at the end of each chapter. The knowledge of advanced calculus, Fourier series and some understanding about ordinary differentialequations, finite differences as well as special functions are the prerequisites for the book.Senior undergraduate and postgraduate studentsoffering courses in partial differential equations, researchers, scientists and engineers working in R&D organisations would find the book to be most useful.New to the Second Edition:Chapters on:

Integral Equations Numerical Solutions of Partial Differential Equations

Contents: Preface / First Order Partial Differential Equations / Second Order Partial Differential Equations / Elliptic Differential Equations / Parabolic Differential Equations /Hyperbolic Differential Equations / Integral Transform and Green Function Methods / Integral Equations / Numerical Solutions of Partial Differential Equations / Answers to KeyExercise / Appendix A / Appendix B / Bibliography / Index

Audience: Senior Undergraduate – Postgraduate Students, Researchers, Scientists & Engineers2009 318pp 160 x 240 Hb ISBN: 978-1-84265-410-1 £ 27.50 / US$ 55.00

Point Processes and Product DensitiesEditors: S. K. Srinivasan, A. VijayakumarPoint processes are random processes that are concerned with point events occurring in space or time. A powerful method of analyzing them is through a sequenceof correlation functions, called product densities, introduced by Alladi Ramakrishnan. In view of their wide applicability, there is a spectacular development of thetheory and applications of these processes in the recent past. Hence it is considered worthwhile to reprint some of the most significant contributions of AlladiRamakrishnan and his associates to serve as a ready reference volume.Audience: Researchers & Professionals2003 168pp 185 x 240 520g Hb ISBN: 978-81-7319-558-7 £ 49.00 / US$ 94.95

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Practical Numerical Analysis Using Microsoft ExcelA. NandyThis text Presents numerical analysis in an easy and comfortable way requiring no prior knowledge of computer programming or intricacies ofmathematics by exclusively using a popular spreadsheet, MS-EXCEL, to show how in most cases numerical analysis can be done rapidly andcomfortably using built-in functions of Microsoft Excel. The version used is Excel 2000, but the basic ideas will cover earlier versions of Excelas well. The majority of numerical analysis needs fall into the curve fitting, interpolation, solutions of equations, integration methods. For theseExcel’s features provide a very easy and inexpensive way to get the job done.Audience: Undergraduate Students of Science & Engineering


Principles of Optimization TheoryC. R. Bector, S. Chandra, J. DuttaThis text is a concise account of the fundamental principles of optimization theory blended in a judicious way with current research. Using the powerful language ofconvex analysis it helps the reader to probe into such advanced topics like Non-smooth Optimization and Conjugate Duality. The now traditional area of differentiableoptimization has been revisited and many new insights have been provided by presenting very recent research in this area.Audience: Postgraduate Students & Researchers in Mathematics, Statistics, Operations Research, Computer Science & Management

2005 242pp 160 x 240 650g Hb ISBN: 978-1-84265-166-7 £ 29.95 / US$ 59.95

Probability Measures on Groups (TIFR)Recent Directions and TrendsEditors: S. G Dani, P. GraczykMany aspects of the classical probability theory based on vector spaces were generalised in the second half of the twentieth century tomeasures on groups, especially Lie groups. The subject of Probability measures on groups, that emerged out this research has continuedto grow and many interesting new developments have occurred in the area in recent years.A School was organised jointly with CIMPA, France and the Tata Institute of Fundamental Research entitled “Probability Measures onGroups: Recent Directions and Trends” in Mumbai. Lecture courses were given at the School by M. Babillot (Orlean, France), D. Bakry(Toulouse, France), S.G. Dani (Tata Institute, Mumbai), J. Faraut (Paris), Y. Guivarc’h (Rennes, France) and M. McCrudden (Manchester, U.K.), aimed at introducingvarious advanced topics on the theme to students as well as teachers and practicing mathematicians desirous of getting acquainted with the area. The prerequisitesfor the courses were limited to only with basic background in measure theory, harmonic analysis and elementary Lie group theory.Audience: Postgraduate Students, Teachers & Researchers

2006 371pp 160 x 240 800g Hb ISBN: 978-81-7319-703-1 £ 49.95 / US$ 98.00

Proceedings of the National Conference onMathematical Techniques and ApplicationsEditors: K. Ganesan, V. Ramamurthy

Proceedings of the National Conference on Mathematical Techniques and Applications discusses recent advances in the emerging fields ofMathematics, namely Fuzzy Set theory, Operations Research, Stochastic Process, Analysis, Topology, Rough sets, Interval matrices, Graph theory,Cryptography, Optimization Techniques and their applications to various branches of Engineering, Management Science and Computer Science.Contents: Foreword / Singularities, Integrability and Nonlinear Evolution Equations / Coincidence Point Theorems for Multivalued AsymptoticallyRegular Mappings / Pasting Lemma for g – Continuous Functions / (â, 2) – Orthogonality and a Characterization of 2 – Inner Product Spaces / A Fuzzy Approach to NoncooperativeGames / Multi – Attribute Decision Making Problem Under Fuzzy Environment / Web-Based Diagnosis and Medical Image Retrieval System / Random Allocation Model for HIVEpidemic / Inventory Model with Storage Capacity and Budgetary Constraints / Application of Optimization Techniques in the Design of Electrical Power Apparatus / On SomeApplications of Certain Integral Operator / Analysis of a Bulk Queueing Models with Multiple Vacations and ‘d’ Policy / Review on Computational Topology and its Applications /Traveling Salesman Problem – An Integer Programming Approach / Rough Set Approach to a Social Problem / The Distance Simplex Algorithm / One Edge Union of ShellGraphs is Graceful and Cordial / Coefficient Estimates for á – ë Spiral like Functions of Order â / Inverse of an Interval Matrix / A Finite Graph Using Group Representation /Complements of the rc-graphs / Economic Lot Scheduling Problems for Non Instantaneous Deteriorating Items with Price Discount and Determining a Common ProductionCycle Time / Point-set Domination of the Boolean Graph BG2(G) / Values Through Mathematics: Part-I / On Strong Product of Graphs / Application of Elliptic Curve Cryptographyfor Secured Communication in Wireless Networks / Fuzzy µ - Covering Number of Generalized Triangles / A Study on Precontinuous and Almost Precontinuous Mappings /Graphoidal Covering Number of n–c5 Connected Graph / On Application of Fixed-point theorems to game theory / On the booklean function graph B(Kp, NINC, L(G)) of a graph

Audience: Advanced Undergraduate - Postgraduate Students & Researchers in Mathematics and Other Engineering Sciences

2008 302pp 160 x 240 700g Hb ISBN: 978-81-7319-891-5 £ 49.95 / US$ 99.00

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Quasiconformal Mappings and their ApplicationsEditors: S. Ponnusamy, T. Sugawa, M. Vuorinen

Quasiconformal Mappings and their Applications covers conformal invariance and conformally invariant metrics, hyperbolic-type metrics andhyperbolic geodesics, isometries of relative metrics, uniform spaces and Gromov hyperbolicity, quasiregular mappings and quasiconformal mappingsin n-space, universal Teichmüller space and related topics, quasiminimizers and potential theory and numerical conformal mapping and circle packings.

Contents: Preface / A Note on a Minimum Area Problem for Non-Vanishing Functions / The Hyperbolic Metric and Geometric Function Theory / Isometriesof Relative Metrics / Uniform Spaces and Gromov Hyperbolicity / p-Laplace Operator, Quasiregular Mappings, and Picard-Type Theorems / Hyperbolic-TypeMetrics / Geometric Properties of Hyperbolic Geodesics / Quasiminimizers and Potential Theory / History and Recent Developments in Techniques for NumericalConformal Mapping / Introduction to Quasiconformal Mappings in n-space / The Universal Teichmüller Space and Related Topics / Metrics and Quasiregular Mappings / CirclePacking, Quasiconformal Mappings, and Applications / List of Participants

Audience: Postgraduate Students, Teachers & Researchers

2007 362pp 160 x 240 800g Hb ISBN: 978-81-7319-807-6 £ 55.00 / US$ 99.00

The Riemann, Lebesgue andGeneralized Riemann IntegralsA. G. Das

The Riemann, Lebesgue and Generalized Riemann Integrals aims at the definition and development of the Henstock-Kurzweilintegral and those of the McShane integral in the real line. The developments are as simple as the Riemann integration and can bepresented in introductory courses.The Henstock-Kurzweil integral is of super Lebesgue power while the McShane integral is of Lebesgue power. For bounded functions,however, the Henstock-Kurzweil, the McShane and the Lebesgue integrals are equivalent. Owing to their simple construction andeasy access, the Generalized Riemann integrals will surely be familiar to physicists, engineers and applied mathematicians. Each chapter of the bookprovides a good number of solved problems and counter examples along with selected problems left as exercises.

Contents: Preface / The Riemann Integral / The Lebesgue Measure / The Lebesgue Integral / Functions of Bounded Variation / Semi-continuous Functions / Tagged GaugePartitions / The Henstock-Kurzweil Integral / The Absolute Integrals / The Riemann Integral Revisited / The HK-Integral on Sets / Author’s Related Publications / Bibliography / Index

Audience: Undergraduate – Postgraduate Students in Mathematics


A Second Course in Mathematical AnalysisD. Somasundaram

A Second Course in Mathematical Analysis makes an in-depth study of Infinite series, Double sequences and series, power series, sequences and seriesof functions, Functions of bounded variation, Riemann – Stieltjes integrals, Lebesgue integrals, Fourier series, Multivariable differential calculus, Implicitfunctions and Extremum problems.Key Features:

Detailed discussion of the theorems without omission of steps and immediate illustrations of the theoremsMore than 250 examples and 130 exercises

Contents: Infinite Series / Double Sequences and Series / Sequences and Series of Functions / Power Series and its Properties / Functions of Bounded Variation / TheRiemann – Stieltjes Integral / The Lebesgue Integral / Fourier Series / Multivariable Differentiable Calculus / Functions of Several Variables

Audience: Postgraduate Students and Researchers

2009 450pp 185 x 240 Hb ISBN: 978-1-84265-533-7 £ 39.95 / US$ 79.95

Sequence Spaces and ApplicationsEditors: P. K. Jain, E. MalkowskyAudience: Postgraduates & Researchers1999 158pp 155 x 230 430g Hb ISBN: 978-81-7319-239-5 £ 75.00 / US$ 135.00

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Sequences, Summability and Fourier AnalysisEditors: D. Rath, S. Nanda

Sequences, Summability and Fourier Analysis deals with various aspects of summability, a major branch of Analysis. The subject grewextensively during the twentieth century through the contribution of eminent analysts, but there are numerous unsolved problems, which stillbaffle the present-day scholars, as the application side has been poorly attended to. This volume contains original research articles, manyvaluable survey articles on approximation theory, multivalent functions, almost convergence and absolute almost convergence, Tauberiantheorems, Köthe-Toeplitz duals of sequence spaces, random Fourier series, stochastic integrals, interpolative subspaces of Banach space,metric transformations in sequence spaces, absolute summability and Nörlund summability.Audience: Students & Researchers

2005 230pp 160 x 240 600g Hb ISBN: 978-81-7319-602-7 £ 48.00 / US$ 72.00

Sets, Functions and NumbersI. S. Luthar

Sets, Functions and Numbers introduces the reader to the notions of set theory, and to the number systems Z Q R C consisting respectivelyof integers, rational numbers, real numbers and complex numbers. Also included are the standard inequalities, and a brief study of thetheory of equations. There are no prerequisites other than bionomical coefficients and a few results from trigonometry.

Contents: Preface / Sets / Natural Numbers, Integers, Rational and Real Numbers / Functions of a Real Variable / Inequalities / Complex Numbers / Index

Audience: Junior College & Undergraduate Students

2005 348pp 185 x 240 900g Hb ISBN: 978-1-84265-260-2 £ 32.50 / US$ 65.00

Stability Problems in Applied MechanicsAsok Kumar Mallik, Jayanta Kumar Bhattacharjee

Stability Problems in Applied Mechanics starts with the stability problems in statics. The example of buckling of columns is studied throughEuler method followed by the Energy method, based on Lagrange-Dirichlet theorem. Snap buckling, instability of shape, buckling due tofollower load are also discussed. Insufficiency of static analysis for instability is clearly brought out and buckling problems are revisitedfrom the point of view of dynamics. The theory of Dynamical System and the foundations of bifurcation theory and Floquet theory aredeveloped and used to revisit the stability problems in the light of these unified mathematical concepts. This mathematical basis is thenapplied to investigate the stability problems encountered in dynamics of particle, rigid and flexible bodies. Finally the emergence of lengthscale and pattern formation as a consequence of instability in fluid, thermal and diffusion systems are discussed through a number of real-life problems. Different notions of stability and the analysis of nonlinear states are briefly included in two appendices

Contents: Preface / Stability of Static Equilibrium / Two Dimensional Dynamical Systems / Examples of Instability in Dynamics / Emergence of Length Scale and Pattern Formation /Appendix A: Different Notions of Stability / Appendix B: On the Nonlinear State / Index



Statistical ComputingExisting Methods and Recent DevelopmentsD. Kundu, A. BasuContents: Preface / Basic Numerical Analysis Techniques / Generation of Random Numbers / Graphical Methods / The EM Algorithm / Genetic Algorithmsfor Optimization / Regression Analysis / Nonparametric Smoothing / Analysis Time Series Data / A Gentle Introduction to Resampling Plans / Neural NetworkModels for Regression and Classification / Statistical Computing in Mixture Models / Perspectives in Adaptive Allocation Designs: Computational Issues /Weighted Distributions / Computational Aspects in Statistical Signal Processing

Audience: Senior Undergraduate – Graduate Students & Teachers

2004 428pp 160 x 240 900g Hb ISBN: 978-1-84265-202-2 £ 35.00 / US$ 69.95

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Statistical Techniques in Life-Testing, Reliability,Sampling Theory and Quality ControlEditor: B. N. Pandey

Statistical Techniques in Life-Testing, Reliability, Sampling Theory and Quality Control covers recent research in the unified branchesof theoretical and applied Statistics on common platform. These generally involve the concept of probability theory, prior information (Bayesand Minimax both), distribution theory, order statistics censoring, truncation, loss and risk function, conditional distribution (sufficiency andcomplete sufficiency), sampling techniques using non-response techniques and post-stratification etc.Log-normal models in survival data, Bernoulli’s trials, regression, ration under non necessarily model, CUSUM techniques in control charts, and reliability modelswith wide applications in other disciplines such as biology, mining and coal, industries, agriculture population, science and technology, medical sciences, researchorganizations, engineering, operation research, cancer institute, defense organizations, etc. are also discussed.Audience: Graduate Students, Teachers & Researchers

2007 224pp 185 x 240 700g Hb ISBN: 978-81-7319-742-0 £ 59.95 / US$ 120.00

Techniques in Applied MathematicsEditors: U. Basu, B. N. Mandal

Techniques in Applied Mathematics discusses recent developments in differential equations, integral transforms, singular integral equations,dynamical system, Lie algebra, calculus of variation, optimization, computational methods for free-surface ship hydrodynamic problems,solitons and inverse scattering, graph theory and symmetries in partial differential equations. Each technique is presented in a somewhatconcise manner and is applied to solve appropriate problems drawn from relevant areas of applied mathematics and theoretical physics. Thisvolume will serve as source material for researchers in applied mathematics, theoretical physics and engineering.

Contents: Preface / Graceful Embedding of a Signed Graph / Lie Algebra – A Pedestrian’s View / Singular Integral Equations and Their Applications inBoundary Value Problem of Mathematical Physics / Discrete Dynamical System: Difference Equation Modelling with Applications / Graph-theoretic Approach in Operations Research /Differential Equations / Calculus of Variations / Dynamical System / Integral Transform / On the Computation of Friction Factor in Turbulent Pipe Flow / On an Exact Method of SolvingIntegral Equation in Elliptic Region / Lie Algebra / Solitons and Inverse Scattering Method / Local and Nonlocal Symmetries of Partial Differential Equations / Computational Methodsfor Free-surface Ship Hydrodynamics Problems / Minimization of Functionals and Numerical Solutions

Audience: Postgraduate Students, Researchers & Teachers in Applied Mathematics, Theoretical Physics and Engineering

2007 252pp 185 x 240 700g Hb ISBN: 978-81-7319-806-9 £ 44.95 / US$ 98.00

Tensor CalculusSecond EditionU. C. De, Absos Ali Shaikh, Joydeep Sengupta

Tensor Calculus while presenting the concepts and Techniques begins with a brief introduction and history of tensors, followed by thestudy of systems of different orders, Einstein summation convention, kronecker symbol leading to the concepts of tensor algebra andtensor calculus. The authors conclude with a stimulating study in Riemannian geometry.

Key Features:Self-contained Basic Concepts of Vectors and Matrices Explained Unique Presentation to Understand the Theory Illuminating Examples

New to the Second Edition:Several new problems alongwith a stimulating study in Riemannian geometry.

Contents: Preface to the Second Edition / Preface to the First Edition / Introduction / Some Preliminaries: Introduction / Systems of Different Orders / Summation Convention /Kronecker Symbols / Some Results of Determinants / Differentiation of a Determinant / Linear Equations, Cramer’s Rule / Examples / Exercises / Tensor Algebra: Introduction /n-dimensional Space / Transformation of Coordinates in Sn / Invariants / Vectors / Tensors of Second Order / Mixed Tensors of Type (p, q) / Zero Tensor / Tensor Field / Algebraof Tensors / Equality of Two Tensors / Symmetric and Skew-symmetric Tensors / Outer Multiplication and Contraction / Inner Multiplication / Quotient Law of Tensors / ReciprocalTensor of a Tensor / Relative Tensor / Cross Product or Vector Product of Two Vectors / Examples / Exercises / Tensor Calculus: Introduction / Riemannian Space / ChristoffelSymbols and their Properties / Covariant Differentiation of Tensors / Riemann-Christoffel Curvature Tensor / Intrinsic Differentiation / Geodesics, Riemannian Coordinatesand Geodesic Coordinates: Introduction / Calculus of Variations / Families of Curves / Euler’s Conditions / Geodesics / Riemannian and Geodesic Coordinates / History ofTensor Calculus / Bibliography / Index


2008 176pp 160 x 240 480g Hb ISBN: 978-1-84265-448-4 £ 17.50 / US$ 34.95

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A Textbook of Mathematical PhysicsSecond EditionSuresh Chandra

Based on the encouraging response to the first edition and taking into account valuable suggestions from teachers as well as students, thetext for Vector Space, Matrices, Special Functions, Fourier Series, Fourier Transform, and Laplace Transform (which forms a complete set ofstudy) has been improved throughout and presented in a systematic manner by using simple language and additional exercises included tofurther enhance the utility of the book for graduate, postgraduate and engineering students.New to the Second Edition:

Informed presentation with elaboration of steps Additional Questions New Exercises Ten New AppendicesKey Features:

Each topic is self explanatory and self contained Topics are supported by numerical examples Language is Student friendlyContents: Preface to the Second Edition / Preface to the First Edition / Vector Space / Matrices / Special Functions / Fourier Series / Integral Transforms / Appendices / Index

Audience: Undergraduate & Postgraduate Students & Teachers

2006 204pp 160 x 240 600g Hb ISBN: 978-1-84265-234-3 £ 27.50 / US$ 55.00

Theory of NumbersA TextbookK. Ramachandra

Theory of Numbers: A Textbook is aimed at students of Mathematics who are graduates or even undergraduates. Very little prerequisites areneeded. The reader is expected to know the theory of functions of a real variable and in some chapters complex integration and some simpleprinciples of complex function theory are assumed. The entire book is self contained except theorems 7 and 9 of chapter 11 which areassumed. The most ambitious chapter is chapter 11 where the most attractive result on difference between consecutive primes is proved.References to the latest developments like Heath-Brown’s work and the work of R.C. Baker, G. Harman and J. Pintz alongwith readableaccounts of Brun’s sieve and also of Apery’s Theorem on irrationality of zeta (3) are given. Finally the reader is acquainted with Montgomery-Vaughan Theorem in the last chapter. It is hoped that the reader will enjoy the leisurely style of presentation of many important results.

Contents: Preface / Introduction and Reference Books and Articles / Elementary Estimates for π(x) and Allied Functions / Simple Ω Results Based on Simple Properties ofζ(s) / Landau’s Theorem on the Singularity of Dirichlet Series with Positive Coefficients / Roth’s Theorem on Square – Free Integers / Landau-Ramanujan-Ingham-Wiener-Ikehara Approach to the Prime Number Theorem / Elementary Results of Chebyshev and the Advanced Prime Number Theorems of Hadamard and de la Vallee Poussin / ATheorem of Tijdeman (also Erdo″s , Jutila, Ramachandra and Shorey) / Infinitely many zeros of ζ(s) in σ ≥ ½ – δ / Infinity of zeros of ζ(s) in σ ≥ ½ / Some Properties of Γ(s) andthe order of ζ(s) in σ ≤ 0 / Difference Between Consecutive Primes / Miscellaneous Results / Brun’s Sieve / Roth’s Theorem and Szemeredi’s Theorem / Erdo″s Szemeredi Sieve /Irrationality of ζ(3) / A Remark on S. Srinivasan’s Theorem / Montgomery-Vaughan Theorem / Index

Audience: Graduate & Undergraduate Students in Mathematics

2007 290pp 160 x 240 625g Hb ISBN: 978-1-84265-361-6 £ 29.95 / US$ 59.95

Topics in Sobolev Spaces and ApplicationsEditors: D. Bahuguna,V. Raghavendra, B. V. Rathish KumarContents: Preface / Lp Spaces / Fourier Transforms / Introduction to Distributions / Sobolev Spaces / Density and Extension Theorems/ Embedding Theorems / Introduction toRegularity Theory for Elliptic Equations / Critical Point Theory / Error Estimates / Bibliography

Audience: Postgraduate & Doctoral Students

2002 181pp 160 x 240 575g Hb ISBN: 978-1-84265-094-3 £ 65.00 / US$ 130.00

Topological AlgebrasV. K. BalachandranAudience: Senior Graduate & Postgraduate Students

1999 454pp 140 x 215 440g Pb ISBN: 978-81-7319-282-1 £ 55.00 / US$ 115.00

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Topological Measures and Weighted Radon MeasuresD. P. L. Castrigiano, W. Rölcke†

Due to the close interplay of measure and topology, topological measure theory is a particularly intriguing part of general measuretheory. Appropriately this text starts with an introductory chapter on abstract measure theory. It presupposes some familiarity withelementary measure and integration theory and furnishes the prerequisites for the subsequent detailed exposition of the theory. Theresults mainly concern regularity properties of topological measures. The notions of mc measures and Lc spaces turn out to beparticularly useful for the study of regularity properties of weighted Radon measures, a topic that was not treated previously in theliterature. Because of their specific importance a whole chapter of purely topological content is devoted to Lc spaces.Throughout the textbook, the results are accompanied and consistently discussed by examples, ranging from routine to rather involved.

Contents: Preface / Abstract Measures and Densities / Measures on Topological Spaces / Regularity Properties of Weighted Radon Measures / Lc Spaces / CounterExamples / Bibliography / Notation Index / Subject Index

Audience: Senior Undergraduate Students, Teachers & Researchers

2008 274pp 185 x 240 750g Hb ISBN: 978-1-84265-283-1 £ 59.95 / US$ 98.95

TopologyK. Chandrasekhara Rao

Topology presents the basic principles, techniques and theorems covering Kuratowski closure operator, separation axioms,connectedness, compactness, paracompactness, homotopy, metrizability and bitopological spaces. The important results suchas the Tychonoff theorem, the Tietze extension theorem, the Urysohn metrization theorem, the Stone theorem are formulatedand proved.

Key Features:Two chapters on bitopological spacesSolved problems and excercisesA large number of references as suggested reading

Contents: Topological Spaces / Convergence / Tychonoff Product Topology / Connectedness / Separation / Quotient Spaces / Metrization / Compactness / Uniform Spaces /Function Spaces / Bitopological Separation / Bitopological Connectedness and Compactness


2009 400pp 185 x 240 Hb ISBN: 978-1-84265-446-0 £ 35.95 / US$ 72.50

Topology of Metric SpacesS. Kumaresan

Topology of Metric Spaces gives a very streamlined development of a course in metric space topology emphasizing only the most usefulconcepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topologycourse, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis.Key Features:

All concepts introduced using the primitive concepts of open balls or open sets Geometric motivations of concepts, definitions and resultsReal life motivations and analogies Lots of concrete and geometric examples and picturesNumerous exercises in meaningful contexts, with copious hints to most of them Typical applications of major resultsAttention to the difficulties faced by beginnersMost of the proofs start with the strategy of the proof so as to enable good students to work on their ownPrepares the ground for higher aspects of topology and analysis.

Eminently suitable for self-study, this book may also be used as a supplementary text for courses in general (or point-set) topology so that students will acquire alot of concrete examples of spaces and maps.Contents: Preface / Basic Notions / Convergence / Continuity / Compactness / Connectedness / Complete Metric Spaces / Bibliography / Index



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Two Versions of Wavelets and ApplicationsAbdellatif Jouini, Khalifa Trimeche

Two Versions of Wavelets and Applications presents an accessible treatment and description of discrete and generalized waveletanalysis and how they can be applied to fundamental data analysis problems. This book provides a complete study of transmutationoperators, the harmonic analysis, generalized wavelets, and generalized wavelet packets associated with differential and differential-difference operators. Many applications of these theories have been given by way of a rich collection of references.The results and methods presented should be of interest to graduate students and researchers working in wavelets, fourier analysis,operator theories, differential equations and mathematical physics because they allow a great flexibility and are easy to implement.

Contents: Preface / Introduction / Discrete Wavelets and Applications: Introduction to Wavelet Theory / Multiresolution Analyses on the Interval [0, 1] and Commutation Properties /Segmented Biorthogonal Multiresolution Analyses on the Interval [0, 1] and Applications / Wavelets on Manifolds and Applications to Sobolev Spaces / Orthogonal andBiorthogonalMultiresolution Analyses on the L-shaped Domain / Generalized Wavelets and Applications: Harmonic Analysis Associated with a Singular Differential Operator on ]0,+ [ /Generalized Wavelet Packets Associated with a Singular Differential Operator on ]0, + [ Generalized Daubechies Wavelet Packets and Inversion of the Dual of J.L. Lions TransmutationOperator / Generalized two-scale Equation and Application / Harmonic Analysis Associated with the Dunkl Operator on R / Dunkl Wavelets and Applications / Bibliography / Index

Audience: Undergraduate, Graduate Students, Teachers & Researchers

2006 230pp 185 x 240 700g Hb ISBN: 978-1-84265-308-1 £ 25.00 / US$ 49.95

Vector Analysis with ApplicationsAbsos Ali Shaikh, Sanjib Kumar JanaContents: Preface / Elements of Vector Algebra / Vector Products / Applications of Vector Algebra / Vector Differential Calculus / Applications of Vector Calculus / HistoricalBackground / Bibliography / Index

2009 460pp 185 x 240 Hb ISBN: 978-1-84265-541-2 TBA

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978-1-84265-017-2 R.S. Kaushal et al. Advanced Methods of Mathematical Physics 2000 HB 37.50 69.00978-81-7319-470-2 H.P. Dikshit et al. Analysis and Applications 2002 HB 78.00 125.00978-81-7319-075-9 D. Chatterjee Analytical Geometry of Two Dimension 1999 PB 25.00 49.95978-81-7319-490-0 J.C. Misra Computational Mathematics, Modelling and Algorithms 2003 HB 95.00 152.00978-81-7319-199-2 P.K. Jain Functional Analysis:Selected Topics 1998 HB 65.00 110.00978-81-7319-293-7 J. Coates et al. Galois Cohomology of Elliptic Curves 2000 PB 12.00 22.50978-81-7319-488-7 J.C. Misra Industrial Mathematics and Statistics 2003 HB 95.00 152.00978-81-7319-211-1 N. Basu et al. An Introduction to Mechanics 1999 PB 32.00 52.00978-81-7319-357-6 N.C. Mahanti Mathematical Applications in Social and Industrial Sectors 2001 HB 85.00 160.00978-81-7319-493-1 J.C. Misra Mathematical Models for Bioengineering and 2005 HB 85.00 170.00

Probabilistic Systems978-81-7319-274-6 A.H. Siddiqi et al. Mathematics and Its Applications in Industry and Business 2000 HB 75.00 135.00978-1-84265-045-5 A.S. Pandit Mechanics 2001 HB 20.00 39.00978-81-7319-182-4 S. Puri et al. Nonlinearities in Complex Systems 1997 PB 32.00 64.95978-81-7319-688-1 K.R. Parthasarathy Quantum Computation, Quantum Error 2006 HB 19.95 39.95

Correcting Codes and Information Theory978-81-7319-559-4 S.K. Srinivasan et al. Stochastic Point Processes 2003 HB 65.00 125.00978-1-84265-076-9 P.K. Jain et al. Wavelets and Allied Topics 2001 HB 75.00 140.00

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