Topics in the theory of numbers
著者
書誌事項
Topics in the theory of numbers
（Undergraduate texts in mathematics）
Springer, c2003
- : softcover
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注記
Translated from the Hungarian
"Originally published by Springer Science+Business Media, Inc. in 2003. Softcover reprint of the hardcover 1st edition 2003" -- T.p. verso of softcover
Bibliography: p. [275]-281
Includes index
内容説明・目次
内容説明
Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive.
目次
* Preface * Facts Used Without Proof in the Book * Divisibility, the Fundamental Theorem of Number Theory * Congruences * Rational and irrational numbers. Approximation of numbers by rational numbers. (Diophantine approximation.) * Geometric methods in number theory * Properties of prime numbers * Sequences of integers * Diophantine Problems * Arithmetic Functions * Hints to the more difficult exercises * Bibliography * Index
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