Number theory : an introduction to mathematics
著者
書誌事項
Number theory : an introduction to mathematics
（Universitext）
Springer, c2009
2nd ed
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注記
Originally published 2006
Includes bibliographies and index
内容説明・目次
内容説明
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. 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.
目次
- The Expanding Universe of Numbers.- Divisibility.- More on Divisibility.- Continued Fractions and Their Uses.- Hadamard#x2019
- s Determinant Problem.- Hensel#x2019
- s -adic Numbers.- The Arithmetic of Quadratic Forms.- The Geometry of Numbers.- The Number of Prime Numbers.- A Character Study.- Uniform Distribution and Ergodic Theory.- Elliptic Functions.- Connections with Number Theory.
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