Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics v. 97 2nd ed. 1993)
By: Neal Koblitz (author)Paperback
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.
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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- ID: 9780387979663
2nd ed. 1993
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