Combinatorics: A Guided Tour (BOK)

Combinatorics: A Guided Tour (BOK)

David R. Mazur

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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2010 Forfatter David R. Mazur
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780883857625
Antall sider 410 Dimensjoner 17,8cm x 25,4cm x 2,6cm
Vekt 870 gram Leverandør Bertram Trading Ltd
Emner og form Combinatorics & graph theory