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612-822-4611
Combinatorics: A Guided Tour

Combinatorics: A Guided Tour

Hardcover

Series: Mathematical Association of America Textbooks

General Mathematics

Currently unavailable to order

ISBN10: 0883857626
ISBN13: 9780883857625
Publisher: Mathematical Association of America (MAA)
Published: Mar 18 2010
Pages: 410
Weight: 1.90
Height: 1.20 Width: 7.20 Depth: 9.90
Language: English
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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General Mathematics