10 To see all Math & Science titles in print, visit www.doverdirect.com Subhead MATHEMATICS Elementary & Popular Mathematics SPEED MATHEMATICS SIMPLIFIED, Edward Stoddard. Entertaining, easy-to- follow suggestions for developing greater speed and accuracy in doing mathematical calculations. Surefire methods for multiply- ing without carrying, mastering fractions, working quickly with decimals, handling percentages, and much more. 284pp. 5 3/8 x 8 1/2. 0-486-27887-5 $9.95 CHALLENGING PROBLEMS IN ALGEBRA, Alfred S. Posamentier and Charles T. Salkind. Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equa- tions, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided. 272pp. 5 3/8 x 8 1/2. 0-486-69148-9 $14.95 THE CURVES OF LIFE, Theodore A. Cook. Classic examination of the function of the spiral, or helix, in nature and art examines shells, leaves, human body, drawings of Leonardo, Leaning Tower of Pisa. 1914 edition. 426 illustrations. 512pp. 5 3/8 x 8 1/2. 0-486-23701-X $16.95 INTRODUCTION TO ARTIFICIAL INTELLIGENCE: Second, Enlarged Edition, Philip C. Jackson, Jr. Comprehensive survey of artificial intelligence — the study of how computers can be made to act intelligently. Includes introductory and advanced material. Extensive notes updating the main text. 132 illustra- tions. 512pp. 5 3/8 x 8 1/2. 0-486-24864-X $17.95 MATHEMATICS AND THE PHYSICAL WORLD, Morris Kline. Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geom- etries. Also describes how math is used in optics, astronomy, and other phe- nomena. 496pp. 5 5/8 x 8 1/4. 0-486-24104-1 $18.95 WHAT IS MATHEMATICAL LOGIC?, J. N. Crossley and Frances A. Davis. This concise, lively treatment is accessible to nonmathematicians. Topics include model theory, Godel’s theorems, computability and recursive functions, set theory, and more. Diagrams appear throughout the text. 82pp. 5 3/8 x 8 1/2. 0-486-26404-1 $6.95 ELEMENTARY MATHEMATICS FROM AN ADVANCED STANDPOINT: Arithmetic, Algebra, Analysis, Felix Klein. Graphical and geometrically perceptive methods enliven a distinguished mathematician’s treatment of arithmetic, algebra, and analysis. Topics include calculating with natural numbers, complex numbers, goniometric functions, and infinitesimal calculus. 1932 edition. Includes 125 fig- ures. 288pp. 5 3/8 x 8 1/2. 0-486-43480-X $15.95 MATHOGRAPHICS, Robert Dixon. Stimu- lating, unique book explores mathematical drawing through compass constructions and computer graphics. Over 100 full- page drawings: five-point egg, golden ratio, plughole vortex, blancmange curve, more. Exercises. 1987 edition. 224pp. 8 3/8 x 11. 0-486-26639-7 $16.95 LADY LUCK: The Theory of Probability, Warren Weaver. This witty, non- technical introduction to probability elucidates such concepts as per- mutations, independent events, mathematical expectation, the law of averages, and more. No advanced math required. 49 drawings. 384pp. 5 3/8 x 8 1/2. 0-486-24342-7 $12.95 THE RED BOOK OF MATHEMATICAL PROBLEMS, Kenneth S. Williams and Kenneth Hardy. Handy compilation of 100 practice problems, hints, and solu- tions indispensable for students preparing for the William Lowell Putnam and other mathematical competitions. Preface to the First Edition. Sources. 1988 edition. 192pp. 5 3/8 x 8 1/2. 0-486-69415-1 $8.95 ARITHMETIC REFRESHER, A. A. Klaf. These 937 most-asked questions deal with tax problems, interest and discount, time-payment, etc. Features 809 prob- lems and answers. “More than just a refresher . . . contains a great number of items that are not just reminders but entirely new ideas. — Bookmarks . 438pp. 5 3/8 x 8 1/2. 0-486-21241-6 $12.95 THE WORLD OF MATHEMATICS Edited by James Newman Monumental survey includes historical and biological infor- mation on prominent mathematicians; mathematics and the physical world; numbers and the art of counting; mathematics of music and art; statistics; mathematics and social science; laws of chance; mathematics of space and motion; and much more. Essays by Galileo, Mathus, Euler, Poincaré, Bertrand Russell, George Bernard Shaw, Aldous Huxley, Alfred North Whitehead, Sir James Jeans, and many others. Numerous figures. Total of 2,576pp. All books 5 3/8 x 8 1/2. Volume 1: 768pp. 0-486-41153-2 $19.95 Volume 2: 720pp. 0-486-41150-8 $17.95 Volume 3: 624pp. 0-486-41151-6 $17.95 Volume 4: 464pp. 0-486-41152-4 $17.95
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SubheadMATHEMATICS
Elementary & Popular Mathematics
SPEED MATHEMATICS SIMPLIFIED , Edward Stoddard. Entertaining, easy-to-
follow suggestions for developing greater
speed and accuracy in doing mathematical
calculations. Surefi re methods for multiply-
ing without carrying, mastering fractions,
working quickly with decimals, handling
percentages, and much more. 284pp. 5 3/8 x 8 1/2. 0-486-27887-5 $ 9.95
CHALLENGING PROBLEMS IN ALGEBRA , Alfred S. Posamentier and Charles T. Salkind. Over 300 unusual problems,
ranging from easy to diffi cult, involving
equations and inequalities, Diophantine
equations, number theory, quadratic equa-
tions, logarithms, more. Detailed solutions,
as well as brief answers, for all problems
are provided. 272pp. 5 3/8 x 8 1/2. 0-486-69148-9 $ 14.95
THE CURVES OF LIFE , Theodore A. Cook. Classic examination of the function
of the spiral, or helix, in nature and art examines shells, leaves, human body,
drawings of Leonardo, Leaning Tower of Pisa. 1914 edition. 426 illustrations. 512pp. 5 3/8 x 8 1/2. 0-486-23701-X $ 16.95
INTRODUCTION TO ARTIFICIAL INTELLIGENCE : Second, Enlarged Edition, Philip C. Jackson, Jr. Comprehensive survey of artifi cial intelligence — the
study of how computers can be made to act intelligently. Includes introductory
and advanced material. Extensive notes updating the main text. 132 illustra-
tions. 512pp. 5 3/8 x 8 1/2. 0-486-24864-X $ 17.95
MATHEMATICS AND THE PHYSICAL WORLD , Morris Kline. Stimulating
account of development of mathematics from arithmetic, algebra, geometry
and trigonometry, to calculus, differential equations, and non-Euclidean geom-
etries. Also describes how math is used in optics, astronomy, and other phe-
nomena. 496pp. 5 5/8 x 8 1/4. 0-486-24104-1 $ 18.95
WHAT IS MATHEMATICAL LOGIC? , J. N. Crossley and Frances A. Davis. This
concise, lively treatment is accessible to
nonmathematicians. Topics include model
theory, Godel’s theorems, computability and
recursive functions, set theory, and more.
Diagrams appear throughout the text. 82pp. 5 3/8 x 8 1/2. 0-486-26404-1 $ 6.95
ELEMENTARY MATHEMATICS FROM AN ADVANCED STANDPOINT : Arithmetic, Algebra, Analysis, Felix Klein. Graphical
and geometrically perceptive methods
enliven a distinguished mathematician’s
treatment of arithmetic, algebra, and
analysis. Topics include calculating with
natural numbers, complex numbers,
goniometric functions, and infi nitesimal
calculus. 1932 edition. Includes 125 fi g-
ures. 288pp. 5 3/8 x 8 1/2. 0-486-43480-X $ 15.95
MATHOGRAPHICS , Robert Dixon. Stimu-
lating, unique book explores mathematical
drawing through compass constructions
and computer graphics. Over 100 full-
page drawings: fi ve-point egg, golden
ratio, plughole vortex, blancmange curve,
more. Exercises. 1987 edition. 224pp. 8 3/8 x 11. 0-486-26639-7 $ 16.95
LADY LUCK : The Theory of Probability, Warren Weaver. This witty, non-
technical introduction to probability elucidates such concepts as per-
mutations, independent events, mathematical expectation, the law of
averages, and more. No advanced math required. 49 drawings. 384pp. 5 3/8 x 8 1/2. 0-486-24342-7 $ 12.95
THE RED BOOK OF MATHEMATICAL PROBLEMS , Kenneth S. Williams and Kenneth Hardy. Handy compilation of 100 practice problems, hints, and solu-
tions indispensable for students preparing for the William Lowell Putnam and
other mathematical competitions. Preface to the First Edition. Sources. 1988
edition. 192pp. 5 3/8 x 8 1/2. 0-486-69415-1 $ 8.95
ARITHMETIC REFRESHER , A. A. Klaf. These 937 most-asked questions deal
with tax problems, interest and discount, time-payment, etc. Features 809 prob-
lems and answers. “More than just a refresher . . . contains a great number of
items that are not just reminders but entirely new ideas. — Bookmarks . 438pp. 5 3/8 x 8 1/2. 0-486-21241-6 $ 12.95
THE WORLD OF MATHEMATICSEdited by James Newman
Monumental survey includes historical and biological infor-mation on prominent mathematicians; mathematics and the physical world; numbers and the art of counting; mathematics of music and art; statistics; mathematics and social science; laws of chance; mathematics of space and motion; and much more. Essays by Galileo, Mathus, Euler, Poincaré, Bertrand Russell, George Bernard Shaw, Aldous Huxley, Alfred North Whitehead, Sir James Jeans, and many others. Numerous figures. Total of 2,576pp. All books 5 3/8 x 8 1/2. Volume 1: 768pp. 0-486-41153-2 $19.95 Volume 2: 720pp. 0-486-41150-8 $17.95 Volume 3: 624pp. 0-486-41151-6 $17.95 Volume 4: 464pp. 0-486-41152-4 $17.95
Subhead
11
Tel 800-223-3130 Fax 516-742-5049 www.doverdirect.comTo Order Contact Your Local Dover RepUse Promo Code MTH9
Elementary & Popular MathematicsMATHEMATICS
EXPERIMENTS IN TOPOLOGY , Stephen Barr. Classic, lively explana-
tion of one of the byways of mathe-
matics. Klein bottles, Moebius strips,
projective planes, map coloring, prob-
lem of the Koenigsberg bridges, much
more, described with clarity and wit. 210pp. 5 3/8 x 8 1/2. 0-486-25933-1 $ 12.95
TRIGONOMETRY REFRESHER , A. Albert Klaf. Covers the most
important aspects of plane and spher-
ical trigonometry. Discusses special
problems in navigation, surveying,
elasticity, architecture, and various
fi elds of engineering. Includes 1,738
problems, many with solutions. 1946
edition. Features 494 fi gures. 640pp. 5 3/8 x 8 1/2. 0-486-44227-6 $ 24.95
MATHEMATICS AND THE IMAGINA-TION , Edward Kasner and James Newman. With wit and clarity, the
authors progress from simple arith-
metic to calculus and non-Euclidean
geometry. Their subjects: geometry,
plane and fancy; puzzles that made
mathematical history; tantalizing par-
adoxes; more. Includes 169 fi gures. 400pp. 5 3/8 x 8 1/2. 0-486-41703-4 $ 15.95
GEOMETRY
GEOMETRY, RELATIVITY AND THE FOURTH DIMENSION , Rudolf Rucker. Exposition of fourth dimen-
sion, concepts of relativity as Flat-
land characters continue adventures.
Topics include curved space time as
a higher dimension, special relativity,
and shape of space-time. Includes 141
illustrations. 133pp. 5 3/8 x 8 1/2. 0-486-23400-2 $ 7.95
EXCURSIONS IN GEOMETRY , C. Stanley Ogilvy. A straightedge,
compass, and a little thought are all
that’s needed to discover the intel-
lectual excitement of geometry. Har-
monic division and Apollonian circles,
inversive geometry, hexlet, Golden
Section, more. 132 illustrations. 192pp. 5 3/8 x 8 1/2. 0-486-26530-7 $ 9.95
TAXICAB GEOMETRY : An Adven-ture in Non-Euclidean Geometry, Eugene F. Krause. Fascinating, acces-
sible introduction to unusual math-
ematical system in which distance
is not measured by straight lines.
Illustrated topics include applica-
tions to urban geography and com-
parisons to Euclidean geometry.
Selected answers to problems. 88pp. 5 3/8 x 8 1/2. 0-486-25202-7 $ 5.95
A LONG WAY FROM EUCLID , Constance Reid. Lively guide by a
FIRST COURSE IN MATHEMATICAL LOGIC , Patrick Suppes and Shirley Hill. Rigorous intro-
duction is simple enough in presentation and
context for wide range of students. Symbolizing
sentences; logical inference; truth and validity;
truth tables; terms, predicates, universal quanti-
fi ers; universal specifi cation and laws of identity;
more. 288pp. 5 3/8 x 8 1/2. 0-486-42259-3 $ 12.95
BOOLEAN REASONING : The Logic of Boolean Equations, Frank Markham Brown. Concise text begins with an
overview of elementary mathematical
concepts and outlines theory of Bool-
ean algebras; defi nes operators for
elimination, division, and expansion;
covers syllogistic reasoning, solution
of Boolean equations, and functional
deduction. 304pp. 5 3/8 x 8 1/2. 0-486-42785-4 $ 16.95
THE UNDECIDABLE : Basic Papers on Undecidable Propositions, Unsolv-able Problems and Computable Functions, Edited by Martin Davis. An anthology of fundamental papers
on undecidability and unsolvability,
this classic opens with Gödel’s land-
mark 1931 paper demonstrating that
systems of logic cannot admit proofs
of all true assertions of arithmetic.
416pp. 6 1/8 x 9 1/4. 0-486-43228-9 $ 24.95
ON FORMALLY UNDECIDABLE PROPOSITIONS OF PRINCIPIA MATH-EMATICA AND RELATED SYSTEM , Kurt Gödel. First English translation
of revolutionary paper (1931) that established that even in elementary
parts of arithmetic, there are propositions which cannot be proved or
disproved within the system. Introduction by R. B. Braithwaite. 80pp. 5 3/8 x 8 1/2. 0-486-66980-7 $ 6.95
COMPUTABILITY AND UNSOLVABILITY , Martin Davis. Classic graduate-level
introduction to theory of computability. Discusses general theory of comput-
ability, computable functions, operations on computable functions, Turing
machines self-applied, unsolvable decision problems, applications of general
theory, mathematical logic, Kleene hierarchy, more. 288pp. 5 3/8 x 8 1/2. 0-486-61471-9 $ 15.95
FOUNDATIONS AND FUNDAMENTAL CONCEPTS OF MATHEMATICS , Howard Eves. Third edition of popular undergraduate-level text offers historic
overview, readable treatment of mathematics before Euclid, Euclid’s Elements,
non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more.
Problems, some with solutions. Bibliography. 362pp. 6 1/8 x 9 1/4. 0-486-69609-X $ 16.95
BASIC CONCEPTS OF MATHEMATICS AND LOGIC , Michael C. Gemignani. Intended as a fi rst look at mathematics at the college level, this text emphasizes
logic and set theory — counting, numbers, functions, ordering, probabilities,
and other components of higher mathematics. 288pp. 5 3/8 x 8 1/2. 0-486-43506-7 $ 15.95
A PROFILE OF MATHEMATICAL LOGIC , Howard DeLong. This introduction
to mathematical logic explores philosophical issues and Gödel’s Theorem.
Its widespread infl uence extends to the author of Gödel, Escher, Bach , whose
Pulitzer Prize-winning book was inspired by this work. 320pp. 5 3/8 x 8 1/2. 0-486-43475-3 $ 19.95
INTRODUCTION TO ELEMENTARY MATHEMATICAL LOGIC , A. A. Stolyar. Lucid, non-intimidating presentation of propositional logic, propositional calcu-
lus and predicate logic. Accessible to high school students; valuable review of
fundamentals for professionals. Exercises (no solutions). Preface. Three appen-
dices. Indices. Bibliogaphy. Includes 14 fi gures. 220pp. 5 3/8 x 8 1/2. 0-486-64561-4 $ 10.95
MATHEMATICAL LOGIC AND THE FOUNDATIONS OF MATHEMAT-ICS : An Introductory Survey, G. T. Kneebone. Ideal for students intend-
ing to specialize in the topic. Part I
discusses traditional and symbolic
logic. Part II explores the foundations
of mathematics. Part III focuses on the
philosophy of mathematics. 452pp. 5 3/8 x 8 1/2. 0-486-41712-3 $ 16.95
MATHEMATICAL THEORY OF COM-PUTATION , Zohar Manna. Attempt-
ing to make into a science the art of
verifying computer programs (debug-
ging), the author addresses both
practical and theoretical aspects.
This self-contained treatment includes
selected concepts of computability
theory and mathematical logic. 464pp. 5 3/8 x 8 1/2. 0-486-43238-6 $ 24.95
BESTSELLERBESTSELLER
Logic & the Foundations of Mathematics
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DIFFERENTIAL TOPOLOGY : An Introduction, David B. Gauld. This text covers topological spaces
and properties, some advanced calculus, differen-
tiable manifolds, orientability, submanifolds and an
embedding theorem, tangent spaces, vector fi elds
and integral curves, Whitney’s embedding theorem,
more. Includes 88 helpful illustrations. 1982 edition.
256pp. 6 1/8 x 9 1/4. 0-486-45021-X $ 15.95
SHAPE THEORY
Categorical Methods of Approximation
J.- M. Cordier and T. Porter
This in-depth treatment uses shape theory as a “case study” to illustrate situations common to many areas of mathematics, including the use of arche-typal models as a basis for systems of approximations. It offers a unifi ed, con-solidated presentation of research on category theory, shape theory, and the study of topological algebras. 1989 edi-tion. 208pp. 6 1/8 x 9 1/4. 0-486-46623-X $ 14.95
INVITATION TO COMBINATORIAL TOPOLOGY , Maurice Fréchet and Ky Fan. Translated by Howard W. Eves. Elementary text, accessible to
anyone with a background in high school geometry,
covers problems inherent to coloring maps, homeo-
morphism, applications of Descartes’ theorem,
topological polygons, more. Includes 108 fi gures.
FORMAL KNOT THEORY , Louis H. Kauffman. 1983 edition. Includes 51 illustrations. 272pp. 5 3/8 x 8 1/2. 0-486-45052-X $ 14.95
INTRODUCTION TO TOPOLOGY : Second Edition, Theodore W. Gamelin and Robert Everist Greene. 51 illustrations. 1983 edition. 256pp. 5 3/8 x 8 1/2. 0-486-40680-6 $ 12.95
A COMBINATORIAL INTRODUCTION TO TOPOLOGY , Michael Henle. 1979 edition . 310pp. 5 3/8 x 8 1/2. 0-486-67966-7 $ 14.95
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GeometryMATHEMATICS
DIFFERENTIAL GEOMETRY
K. L. Wardle
This elementary account of the differential geometry of curves and surfaces in space deals with curva-ture and torsion, involutes and evo-lutes, curves on a surface, curvature of surfaces, and developable and ruled surfaces. The examples feature many special types of surfaces, and the numerous problems include com-plete solutions. 1965 edition. 112pp. 5 3/8 x 8 1/2. 0-486-46272-2 $ 8.95
INVITATION TO GEOMETRY
Z. A. Melzak
Intended for students of many dif-ferent backgrounds with only a modest knowledge of mathematics, this text features self-contained chap-ters that can be adapted to several types of geometry courses. The author emphasizes connections with calcu-lus and simple mechanics, focusing on developing students’ grasp of spatial relationships. 240pp. 5 3/8 x 8 1/2. 0-486-46626-4 $ 14.95
ROTATIONS, QUATERNIONS, AND DOUBLE GROUPS , Simon L. Altmann. This self-contained
text presents a consistent description of the geo-
metric and quaternionic treatment of rotation
operators, employing methods that lead to a rigor-
ous formulation and offering complete solutions to
many illustrative problems. 336pp. 5 3/8 x 8 1/2. 0-486-44518-6 $ 19.95
PROOF IN GEOMETRY : With “Mistakes in Geomet-ric Proofs,” A. I. Fetisov and Ya. S. Dubnov. This
single-volume compilation of 2 books explores the
construction of geometric proofs. It offers useful