- 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 first-year undergraduates through more advanced math students: prerequisites are elements of linear algebra only
- Useful for self-study: includes references at the end of each chapter
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- About this Textbook
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"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.
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)
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The Expanding Universe of Numbers
Pages 1-82
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Divisibility
Pages 83-127
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More on Divisibility
Pages 129-178
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Continued Fractions and Their Uses
Pages 179-222
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Hadamard’s Determinant Problem
Pages 223-259
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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
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- Book Title
- Number Theory
- Book Subtitle
- An Introduction to Mathematics
- Authors
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- W.A. Coppel
- Series Title
- Universitext
- Copyright
- 2009
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer-Verlag New York
- eBook ISBN
- 978-0-387-89486-7
- DOI
- 10.1007/978-0-387-89486-7
- Softcover ISBN
- 978-0-387-89485-0
- Series ISSN
- 0172-5939
- 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
