Overview
- A modern introduction to number theory, emphasizing its connections with other branches of mathematics, including algebra, analysis, and discrete math
- Suitable for first-year undergraduates through more advanced math students; prerequisites are elements of linear algebra only
- A self-contained text, useful for self-study: includes references at the end of each chapter
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Number Theory is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included.
The book is divided into two parts. Part A covers key concepts of number theory and could serve as a first course on the subject. Part B delves into more advanced topics and an exploration of related mathematics. Part B contains, for example, complete proofs of the Hasse-Minkowski theorem and the prime number theorem, as well as self-contained accounts of the character theory of finite groups and the theory of elliptic functions. The prerequisites for this self-contained text are elements from linear algebra. Valuable references for the reader are collected at the end of each chapter. It is suitable as an introduction to higher level mathematics for undergraduates, or for self-study.
Authors and Affiliations
Bibliographic Information
Book Title: Number Theory
Book Subtitle: An Introduction to Mathematics
Authors: W.A. Coppel
Series Title: Universitext
DOI: https://doi.org/10.1007/978-0-387-89486-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Softcover ISBN: 978-0-387-89485-0Published: 12 August 2009
eBook ISBN: 978-0-387-89486-7Published: 03 October 2009
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 2
Number of Pages: XIV, 610
Number of Illustrations: 17 b/w illustrations
Additional Information: Originally published as a monograph in two volumes
Topics: Number Theory, Mathematics, general