Graduate Texts in Mathematics

Introduction to Elliptic Curves and Modular Forms

Authors: Koblitz, N.

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About this Textbook

This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. At the same time I want to introduce topics which are at the forefront of current research. Down-to-earth examples are given in the text and exercises, with the aim of making the material readable and interesting to mathematicians in fields far removed from the subject of the book. With numerous exercises (and answers) included, the textbook is also intended for graduate students who have completed the standard first-year courses in real and complex analysis and algebra. Such students would learn applications of techniques from those courses, thereby solidifying their under­ standing of some basic tools used throughout mathematics. Graduate stu­ dents wanting to work in number theory or algebraic geometry would get a motivational, example-oriented introduction. In addition, advanced under­ graduates could use the book for independent study projects, senior theses, and seminar work.

Table of contents (4 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4684-0255-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Elliptic Curves and Modular Forms
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
97
Copyright
1984
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4684-0255-1
DOI
10.1007/978-1-4684-0255-1
Series ISSN
0072-5285
Edition Number
1
Topics