A First Course in Modular Forms, 2006, 452 pages, Fred ... · PDF fileA First Course in Modular Forms, 2006, 452 pages, Fred Diamond, Jerry Shurman, 0387272267, 9780387272269, Springer

A First Course in Modular Forms, 2006, 452 pages, Fred Diamond, Jerry Shurman,0387272267, 9780387272269, Springer Science & Business Media, 2006

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This book introduces the theory of modular forms with an eye toward the Modularity Theorem. Allrational elliptic curves arise from modular forms. The topics covered include: elliptic curves ascomplex tori and as algebraic curves, modular curves as Riemann surfaces and as algebraic curves,Hecke operators and Atkin-Lehner theory, Hecke eigenforms and their arithmetic properties, theJacobians of modular curves and the Abelian varieties associated to Hecke eigenforms, elliptic andmodular curves modulo p and the Eichler-Shimura Relation, the Galois representations associatedto elliptic curves and to Hecke eigenforms. As it presents these ideas, the book states theModularity Theorem in various forms, relating them to each other and touching on theirapplications to number theory. A First Course in Modular Forms is written for beginning graduatestudents and advanced undergraduates. It does not require background in algebraic numbertheory or algebraic geometry, and it contains exercises throughout.

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Modular forms , Robert Alexander Rankin, 1984, Mathematics, 272 pages. .

Elliptic Curves, Hilbert Modular Forms and Galois Deformations , Laurent Berger, Gebhard BГ¶ckle,Lassina DembГ©lГ©, Mladen Dimitrov, Tim Dokchitser, John Voight, Henri Darmon, FredDiamond, Luis V. Dieulefait, Bas Edixhoven, VГctor Rotger, Jun 13, 2013, Curves, Elliptic, 261pages. The notes in this volume correspond to advanced courses given at the Centre de RecercaMatemГ tica (Bellaterra, Barcelona, Spain) as part of the Research Programme in Arithmetic.

Modular Forms , Toshitsune Miyake, Yoshitaka Maeda, Feb 17, 2006, Mathematics, 347 pages.Provides the basic knowledge of elliptic modular forms necessary to understand the developmentsin number theory. This book includes general theory of modular groups, Hecke.

Geometry of the Quintic , Jerry Shurman, Jan 31, 1997, Mathematics, 200 pages. A chance forstudents to apply a wide range of mathematics to an engaging problem This book helps studentsat the advanced undergraduate and beginning graduate levels to.

Abstract algebra , David Steven Dummit, Richard M. Foote, Jan 15, 1999, Mathematics, 898 pages.The book carefully develops the theory of different algebraic structures, beginning from basicdefinitions to some in-depth results, using numerous examples and exercises.

Arithmetic Algebraic Geometry , Brian David Conrad, Karl Rubin, Jan 1, 2001, Mathematics, 569pages. .

The Arithmetic of Dynamical Systems , J.H. Silverman, Jun 6, 2007, Computers, 511 pages.Classical discrete dynamics is the study of iteration of functions mapping the complex plane (orreal line) to itself. Arithmetic dynamics is the study of the number-theoretic.

An Introduction to the Langlands Program , Joseph Bernstein, D. Bump, Stephen S. Gelbart, May19, 2003, Mathematics, 281 pages. For the past several decades the theory of automorphic formshas become a major focal point of development in number theory and algebraic geometry, withapplications in many.

Diophantine Geometry An Introduction, Marc Hindry, Joseph H. Silverman, Mar 23, 2000,Mathematics, 558 pages. This introduction to diophantine geometry at the advanced graduatelevel contains a proof of the Mordell conjecture, making it equally attractive to professionalmathematicians.

Elliptic Curves, Modular Forms & Fermat's Last Theorem Proceedings of a Conference Held in theInstitute of Mathematics of the Chinese University of Hong Kong, John Coates, Shing-Tung Yau,1997, Mathematics, 340 pages. These proceedings are based on a conference at the ChineseUniversity of Hong Kong, held in response to Andrew Wile's conjecture that every elliptic curveover Q is modular.

Discrete subgroups of Lie groups and applications to moduli papers presented at the BombayColloquium, 1973, by Baily [et al.]., Walter L. Baily, Tata Institute of Fundamental Research,1975, Mathematics, 348 pages. .

Automorphic forms of several variables Taniguchi Symposium, Katata, 1983, IchirЕЌ Satake,Yasuo Morita, Taniguchi KЕЌgyЕЌ ShЕЌreikai, 1984, Mathematics, 383 pages. .

Abelian Varieties Proceedings of the International Conference held in Egloffstein, Germany,October 3-8, 1993, Wolf P. Barth, Klaus Hulek, Herbert Lange, Jan 1, 1995, Mathematics, 344pages. .

Cyclotomic fields and related topics proceedings of the Summer School (June 7-30, 1999)organized by Department of Mathematics, University of Pune, Bhaskaracharya Pratishthana,Pune, Sukumar Das Adhikari, 2000, Mathematics, 334 pages. .

Automorphic Forms, Automorphic Representations, and Arithmetic , Robert S Doran Ze Li DouGeorge T Gilbert, 1999, Automorphic forms, . .

Art of the Classical World in the Metropolitan Museum of Art Greece, Cyprus, Etruria, Rome, , Jan1, 2007, Architecture, Roman, 508 pages. A complete introduction to the rich cultural legacy ofRome through the study of Roman art. It includes a discussion of the relevance of Rome to themodern world, a shortThis World and the Beyond Marburg Sermons, Rudolf Karl Bultmann, 1960,Lutheran Church, 248 pages

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The Aegean civilizations , Peter M. Warren, 1975, History, 152 pagesBoyle Between God andScience, Michael Cyril William Hunter, 2009, Biography & Autobiography, 366 pages. Robert Boyleranks with Newton and Einstein as one of the world’s most important scientists. Aristocrat andnatural philosopher, he was a remarkably wide-ranging and Vibrant Women's Wisdom Surving andThriving Through Dark and Bright Hours, Wanda Bethea, Linda Wiggins, 2009, Self-Help, 158pages. This book will reinforce your belief in the strength of the human spirit. It is a journeythrough 23 Vibrant Women's Dark & Bright hours and their lessons learned. These are List Price:$24.95 Member Price: $19.95 Quantity: Task Analysis Job analysis can have great organizationalvalue despite the workplace trends that push the boundaries of fluid.

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