Combinatorics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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David R. Mazur 作者

Mathematical Association of America

译者

2009-11-18 出版日期

410 页数

USD 64.95 价格

Hardcover

丛书系列

9780883857625 图书编码

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发表于2024-11-27

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Combinatorics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Polya theory, combinatorial designs, error correcting codes, partially ordered sets, and selected applications to graph theory including the enumeration of trees, the chromatic polynomial, and introductory Ramsey theory. The only prerequisites are single-variable calculus and familiarity with sets and basic proof techniques. It is flexible enough to be used for undergraduate courses in combinatorics, second courses in discrete mathematics, introductory graduate courses in applied mathematics programs, as well as for independent study or reading courses. It also features approximately 350 reading questions spread throughout its eight chapters. These questions provide checkpoints for learning and prepare the reader for the end-of-section exercises of which there are over 470.

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