 Offers a modern introduction to number theory
 Emphasizes the connection number theory has with other branches of mathematics, including algebra, analysis, and discrete math
 Suitable for firstyear undergraduates through more advanced math students: prerequisites are elements of linear algebra only
 Useful for selfstudy: includes references at the end of each chapter
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 About this Textbook

"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 selfcontained accounts of the character theory of finite groups and the theory of elliptic functions.
The prerequisites for this selfcontained 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 selfstudy.
From the reviews:
"This is a book which many mathematicians could enjoy browsing, and one which a good undergraduate could be encouraged to read to learn something of the interconnections, which exist between apparently disparate parts of mathematics."
—Canadian Mathematical Society
"As a source for information on the 'reach' of number theory into other areas of mathematics, it is an excellent work."
—Mathematical Association of America
 Table of contents (13 chapters)


The Expanding Universe of Numbers
Pages 182

Divisibility
Pages 83127

More on Divisibility
Pages 129178

Continued Fractions and Their Uses
Pages 179222

Hadamard’s Determinant Problem
Pages 223259

Table of contents (13 chapters)
 Download Preface 1 PDF (184.6 KB)
 Download Sample pages 1 PDF (789.2 KB)
 Download Table of contents PDF (47.5 KB)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Number Theory
 Book Subtitle
 An Introduction to Mathematics
 Authors

 W.A. Coppel
 Series Title
 Universitext
 Copyright
 2009
 Publisher
 SpringerVerlag New York
 Copyright Holder
 SpringerVerlag New York
 eBook ISBN
 9780387894867
 DOI
 10.1007/9780387894867
 Softcover ISBN
 9780387894850
 Series ISSN
 01725939
 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