Counting : the art of enumerative combinatorics
著者
書誌事項
Counting : the art of enumerative combinatorics
(Undergraduate texts in mathematics)
Springer, c2010
- : [pbk.]
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注記
Includes index
内容説明・目次
内容説明
This book provides an introduction to discrete mathematics. At the end of the book the reader should be able to answer counting questions such as: How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? The book can be used as a textbook for a semester course at the sophomore level. The first five chapters can also serve as a basis for a graduate course for in-service teachers.
目次
1. Elementary Enumeration.- 2. The Principle of Inclusion and Exclusion.- 3. Generating Functions.- 4. Groups.- 5. Actions.- 6. Recurrence Relations.- 7. Mathematical Induction.- 8. Graphs.- The Back of the Book.
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