Solomon Golomb's course on undergraduate combinatorics
著者
書誌事項
Solomon Golomb's course on undergraduate combinatorics
Springer, c2021
大学図書館所蔵 件 / 全5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
Includes bibliographical references (p. 451-452) and index
内容説明・目次
内容説明
This textbook offers an accessible introduction to combinatorics, infused with Solomon Golomb's insights and illustrative examples. Core concepts in combinatorics are presented with an engaging narrative that suits undergraduate study at any level. Featuring early coverage of the Principle of Inclusion-Exclusion and a unified treatment of permutations later on, the structure emphasizes the cohesive development of ideas. Combined with the conversational style, this approach is especially well suited to independent study.
Falling naturally into three parts, the book begins with a flexible Chapter Zero that can be used to cover essential background topics, or as a standalone problem-solving course. The following three chapters cover core topics in combinatorics, such as combinations, generating functions, and permutations. The final three chapters present additional topics, such as Fibonacci numbers, finite groups, and combinatorial structures. Numerous illuminating examples are included throughout, along with exercises of all levels. Three appendices include additional exercises, examples, and solutions to a selection of problems.
Solomon Golomb's Course on Undergraduate Combinatorics is ideal for introducing mathematics students to combinatorics at any stage in their program. There are no formal prerequisites, but readers will benefit from mathematical curiosity and a willingness to engage in the book's many entertaining challenges.
目次
0. Basic Tools.- 1. Combinations.- 2. Recurrence Relations and Generating Functions.- 3. Permutations.- 4. Special Numbers.- 5. Counting Under Symmetries.- 6. Combinatorial Structures.- A. Additional Exercises.- B. Additional Examples.- C. Solutions to Odd-numbered Exercises.- Bibliography.- Index.
「Nielsen BookData」 より
