Introduction to Elliptic Curves and Modular Forms / Edition 2

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More About This Textbook

Overview

The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. This new edition details the current state of knowledge of elliptic curves.

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Editorial Reviews

Booknews
A text for a graduate mathematics course, covering the properties of elliptic curves and modular forms, emphasizing certain connections with number theory. Uses the congruent number problem as the basis, rather than any of the more advanced or more algebraically oriented approaches. First published in 1984, and updated to discuss current ideas and note recent publications. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780387979663
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 4/29/1993
  • Series: Graduate Texts in Mathematics Series , #97
  • Edition description: 2nd ed. 1993
  • Edition number: 2
  • Pages: 268
  • Sales rank: 1,176,292
  • Product dimensions: 6.20 (w) x 9.30 (h) x 0.80 (d)

Table of Contents

Preface to First Edition; Preface to Second Edition; Chapter I: From Congruent Numbers to Elliptic Curves; Chapter II: The Hasse-Weil L-Function of an Elliptic Curve; Chapter III: Modular Forms; Chapter IV Modular Forms of Half Integer Weight; Answers, Hints, and Exercises for Selected Exercises; Bibliography; Index

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