How to count : an introduction to combinatorics
著者
書誌事項
How to count : an introduction to combinatorics
（Discrete mathematics and its applications / Kenneth H. Rosen, series editor）
CRC Press, c2011
2nd ed
- : hbk
大学図書館所蔵 件 / 全10件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"A Chapman & Hall book"
First published as: an introduction to combinatorics, 1991
Includes bibliographical references and index
内容説明・目次
内容説明
Emphasizes a Problem Solving Approach
A first course in combinatorics
Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics.
New to the Second Edition
This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet's pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises.
Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Polya's counting theorem.
目次
What's It All About?. Permutations and Combinations. Occupancy Problems. The Inclusion-Exclusion Principle. Stirling and Catalan Numbers. Partitions and Dot Diagrams. Generating Functions and Recurrence Relations. Partitions and Generating Functions. Introduction to Graphs. Trees. Groups of Permutations. Group Actions. Counting Patterns. Polya Counting. Dirichlet's Pigeonhole Principle. Ramsey Theory. Rook Polynomials and Matchings. Solutions to the A Exercises. Books for Further Reading. Index.
「Nielsen BookData」 より