A First Course in Modular Forms

by Fred Diamond and Jerry Shurman

Book Overview

This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. The topics covered include: 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...

• Format: Hardcover
• Language: English
• ISBN: 038723229X
• ISBN13: 9780387232294
• Release Date: January 2005
• Publisher: Springer
• Length: 450 Pages
• Weight: 1.65 lbs.
• Dimensions: 1.0" x 6.4" x 9.3"