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A First Course In Modular Forms 1st Ed 2005 Corr 3nd Printing Fred Diamond

Name: A First Course In Modular Forms 1st Ed 2005 Corr 3nd Printing Fred Diamond
SKU: BELL-1289658
Price: 31.00 USD
Availability: InStock
Rating: 5 (40 reviews)

SKU: BELL-1289658

$ 31.00 ~~$ 45.00~~ (-31%)

5.0

40 reviews

A First Course In Modular Forms 1st Ed 2005 Corr 3nd Printing Fred Diamond instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 3.7 MB

Pages: 447

Author: Fred Diamond, Jerry Shurman

ISBN: 9781441920058, 1441920056

Language: English

Year: 2010

Edition: 1st ed. 2005. Corr. 3nd printing

Product desciption

A First Course In Modular Forms 1st Ed 2005 Corr 3nd Printing Fred Diamond by Fred Diamond, Jerry Shurman 9781441920058, 1441920056 instant download after payment.

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 no background in algebraic number theory and algebraic geometry. Exercises are included.