Overview
- Deals with various aspects of number theory, with some chapters taking an algorithmic point of view and
- some taking a historical perspective
- Includes supplementary material: sn.pub/extras
Part of the book series: Developments in Mathematics (DEVM, volume 15)
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About this book
Number Theory: Tradition and Modernization is a collection of survey and research papers on various topics in number theory. Though the topics and descriptive details appear varied, they are unified by two underlying principles: first, making everything readable as a book, and second, making a smooth transition from traditional approaches to modern ones by providing a rich array of examples.
The chapters are presented in quite different in depth and cover a variety of descriptive details, but the underlying editorial principle enables the reader to have a unified glimpse of the developments of number theory. Thus, on the one hand, the traditional approach is presented in great detail, and on the other, the modernization of the methods in number theory is elaborated. The book emphasizes a few common features such as functional equations for various zeta-functions, modular forms, congruence conditions, exponential sums, and algorithmic aspects.
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Keywords
Table of contents (16 papers)
Editors and Affiliations
Bibliographic Information
Book Title: Number Theory
Book Subtitle: Tradition and Modernization
Editors: Wenpeng Zhang, Yoshio Tanigawa
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/0-387-30829-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2006
Hardcover ISBN: 978-0-387-30414-4Published: 13 January 2006
Softcover ISBN: 978-1-4419-4025-4Published: 19 November 2010
eBook ISBN: 978-0-387-30829-6Published: 05 June 2006
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: XXII, 234
Topics: Number Theory, Special Functions, Approximations and Expansions, Fourier Analysis