1300 36 33 32

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.

Buy First Course in Modular Forms book by Fred Diamond from Australia's Online Bookstore, Boomerang Books.

Book Details

ISBN: 9780387232294
ISBN-10: 038723229X
Format: Hardback
(234mm x 156mm x 25mm)
Pages: 466
Imprint: Springer-Verlag New York Inc.
Publisher: Springer-Verlag New York Inc.
Publish Date: 30-Apr-2007
Country of Publication: United States

Other Editions

Reviews

» Have you read this book? We'd like to know what you think about it - write a review about First Course in Modular Forms book by Fred Diamond and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)

Write Review


Books By Author Fred Diamond