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## Graduate Texts in Mathematics: A First Course in Modular Forms (Hardback)"This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms." — From the back cover ## $42.69 |

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Please contact us if you've got questions about this product.## Condition

**LIKE NEW:** This book is in excellent, like-new condition. It was printed on acid-free paper.

## Description

From the back cover: “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 Hecke eignforms,
- the Galois representations associated to elliptic curves and 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.

“*A First Course in Modular Forms* is written for beginning graduate students and advanced undergraduates. It does not require background in algebraic number theory or algebraic geometry, and it contains exercises throughout.”

**Chapters**

- Modular Forms, Elliptic Curves, and Modular Curves
- Modular Curves as Riemann Surfaces
- Dimension Formulas
- Eisenstein Series
- Hecke Operators
- Jacobians and Abelian Varieties
- Modular Curves as Algebraic Curves
- The Eichler-Shimura Relation and
*L*-functions - Galois Representations

The book concludes with the sections **Hints and Answers to the Exercises**, **List of Symbols**, **Index**, and **References**.

## Details

- SKU:
- 2505
- Subject:
- Mathematics
- Author:
- Diamond, Fred and Jerry Shurman
- Publisher:
- Springer
- Publish Date:
- 2005 (First Printing)
- Format:
- Hardback
- Weight (pounds):
- 1.69
- Dimensions (W”xL”xH”):
- 6.3″x9.5″x1″
- ISBN-13:
- 9780387232294
- ISBN-10:
- 038723229X
- Grade Level:
- Graduate
- Series:
- Springer Graduate Texts in Mathematics

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