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|Publication Year:||2005||Title:||A First Course in Modular Forms|
|ISBN:||9780387232294||Author:||Fred Diamond, Jerry Michael Shurman|
|This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex 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; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume background in algebraic number theory and algebraic geometry. Exercises are included.|
|Publisher||Springer-Verlag NY Inc.|
|eBay Product ID (ePID)||95296080|
|Product Key Features|
|Additional Product Features|
|Author(s)||Fred Diamond, Jerry Shurman|
|Place of Publication||NY, NY|
|Series Title||Graduate Texts in Mathematics|
|Edition Statement||1st Edition 2005. Corr. 3nd Printing 2007|
|Content Note||57 Black & White Illustrations, Biography|
|Format Details||Laminated Cover|
|Country of Publication||United States|
|Imprint||Springer-Verlag NY Inc.|
|Date of Publication||30/04/2007|
|Series Part/Volume Number||V.228|
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