Description

Book 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.

Table of 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.

Modular Forms: A Classical And Computational

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    A Hardback by Lloyd James Peter Kilford

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      Publisher: Imperial College Press
      Publication Date: Publication Date: 12/08/2008
      ISBN13: 9781848162136, 978-1848162136
      ISBN10: 1848162138

      Description

      Book 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.

      Table of 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.

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