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Modular Forms: A Classical and Computational Introduction PDF

237 Pages·2008·2.627 MB·English
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by Lloyd Kilford| 2008| 237 pages| 2.627| English

About 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 to be taught from it. Contents: Historical Overview; Introduction to Modular Forms; Results on Finite-Dimensionality; The Arithmetic of Modular Forms; Applications of Modular Forms; Modular Forms in Characteristic p ; Computing with Modular Forms; Appendices: ; MAGMA Code for Classical Modular Forms; SAGE Code for Classical Modular Forms; Hints and Answers to Selected Exercises.

Detailed Information

Author:Lloyd Kilford
Publication Year:2008
ISBN:9781848162136
Pages:237
Language:English
File Size:2.627
Format:PDF
Price:FREE
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