Modular Forms, a Computational Approach

Modular Forms, a Computational Approach
Author :
Publisher : American Mathematical Soc.
Total Pages : 290
Release :
ISBN-10 : 9780821839607
ISBN-13 : 0821839608
Rating : 4/5 (608 Downloads)

Book Synopsis Modular Forms, a Computational Approach by : William A. Stein

Download or read book Modular Forms, a Computational Approach written by William A. Stein and published by American Mathematical Soc.. This book was released on 2007-02-13 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading expert in computations with modular forms, and what he says on this subject is all tried and tested and based on his extensive experience. As well as being an invaluable companion to those learning the theory in a more traditional way, this book will be a great help to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations. There is also a useful Appendix by Gunnells on extensions to more general modular forms, which has enough in it to inspire many PhD theses for years to come. While the book's main readership will be graduate students in number theory, it will also be accessible to advanced undergraduates and useful to both specialists and non-specialists in number theory. --John E. Cremona, University of Nottingham William Stein is an associate professor of mathematics at the University of Washington at Seattle. He earned a PhD in mathematics from UC Berkeley and has held positions at Harvard University and UC San Diego. His current research interests lie in modular forms, elliptic curves, and computational mathematics.

Modular Forms, a Computational Approach Related Books

Modular Forms, a Computational Approach
Language: en
Pages: 290
Authors: William A. Stein
Categories: Mathematics
Type: BOOK - Published: 2007-02-13 - Publisher: American Mathematical Soc.

GET EBOOK

This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introducto
Introduction to Elliptic Curves and Modular Forms
Language: en
Pages: 262
Authors: Neal I. Koblitz
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry
Foundations of Module and Ring Theory
Language: en
Pages: 622
Authors: Robert Wisbauer
Categories: Mathematics
Type: BOOK - Published: 2018-05-11 - Publisher: Routledge

GET EBOOK

This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent wo
Number Theory and Modular Forms
Language: en
Pages: 418
Authors: Bruce C. Berndt
Categories: Mathematics
Type: BOOK - Published: 2003-11-30 - Publisher: Springer Science & Business Media

GET EBOOK

Robert A. Rankin, one of the world's foremost authorities on modular forms and a founding editor of The Ramanujan Journal, died on January 27, 2001, at the age
Characteristic Classes
Language: en
Pages: 342
Authors: John Willard Milnor
Categories: Mathematics
Type: BOOK - Published: 1974 - Publisher: Princeton University Press

GET EBOOK

The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomo