Combinatorics : a problem oriented approach
著者
書誌事項
Combinatorics : a problem oriented approach
（Classroom resource materials）
Mathematical Association of America, 1998
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内容説明・目次
内容説明
The format of this book is unique in that it combines features of a traditional text with those of a problem book. The material is presented through a series of problems, about 250 in all, with connecting text; this is supplemented by a further 250 problems suitable for homework assignment. The problems are structured in order to introduce concepts in a logical order, and in a thought-provoking way. The first four sections of the book deal with basic combinatorial entities; the last four cover special counting methods. Many applications to probability are included along the way. Students from a wide range of backgrounds, mathematics, computer science or engineering will appreciate this appealing introduction.
目次
- Part I. The Basics: 1. Strings
- 2. Combinations
- 3. Distributions
- 4. Partitions. Part II. Special Counting Methods: 5. Inclusion and exclusion
- 6. Recurrence relations
- 7. Generating functions
- 8. The Polya-Redfield method.
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