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Number Theory: An Introduction to Mathematics, Second Edition
Sep 2009 | English | ISBN: 978-0-387-89485-0 | 625 Pages | PDF | 5.9 MB | HF




"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.


* 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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