Introduction to combinatorics
著者
書誌事項
Introduction to combinatorics
（Wiley-Interscience series in discrete mathematics and optimization）
Wiley, c1996
- : hard
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注記
"A Wiley-Interscience publication."
Includes bibliographical references (p. 187-189) and index
内容説明・目次
内容説明
Combinatorics is the study of how discrete sets are arranged, counted, and constructed. This book details several general theories: the Ramsey theory, the Plya theory of counting, and the probabilistic method. It provides a basic framework in which to introduce fundamental results, discuss interconnections and problem solving techniques, and collect open problems.
目次
Preliminaries: Set Theory, Algebra, and Number Theory. EXISTENCE. The Pigeonhole Principle. Sequences and Partial Orders. Ramsey Theory. ENUMERATION. The Fundamental Counting Problem. Recurrence Relations and Explicit Formulas. Permutations and Tableaux. The Polya Theory of Counting. CONSTRUCTION. Codes. Designs. Big Designs. Bibliography. Index.
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