Modular forms: a classical and computational introduction
"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…
Read More ↓Title Statements
- Full title :Modular forms : a classical and computational introduction / L.J.P. Kilford.
Summary
"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."--
Read More ↓Edition Statements
- Publication Date:©2008.
Publication Statements
- Publisher(s):Imperial College
- Place of Publication:London
- Language:eng
- Publication Date:©2008.
Notes
"This book is based on notes for lectures given at the Mathematical Institute at the University of Oxford ... 2004-2007"--Introduction.
The Physical Object
- Description:xii, 224 p. : : il
Edition Identifiers
- ISBN:1848162138, 9781848162136
- oclc:ocn427558149
- LC Classification:QA243
- Dewey Decimal:512.73
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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