MODULAR FORMS: A CLASSICAL AND COMPUTATIONAL INTRODUCTION - Hardcover

Kilford, L. J. P.

Hardcover

ISBN 10: 1848162138 ISBN 13: 9781848162136

Publisher: Imperial College Press, 2008

Synopsis

This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to such diverse subjects as the theory of quadratic forms, the proof of Fermat s last theorem and the approximation of pi. It provides a balanced overview of both the theoretical and computational sides of the subject, allowing a variety of courses to be taught from it.Contents: Historical Overview; Introduction to Modular Forms; Arithmetic of Modular Forms; Applications of Modular Forms; Mod p Modular Forms; p-adic Modular Forms; Computing with Modular Forms; Appendices on MAGMA Code for Classical Modular Forms; SAGE Code for Classical Modular Forms; Hints and Answers to the Exercises.

About this title

Review

This fascinating, contemporaneous, and even now unfolding story of current research in a historically brilliant part of mathematics is told with riveting attention to detail. -- The Mathematical Intelligencer "The Mathematical Intelligencer"

Edition details

• Publisher: Imperial College Press
• Publication date: 2008
• Language: English
• ISBN 10: 1848162138
• ISBN 13: 9781848162136
• Binding: Hardcover
• Number of pages: 224