Counting : the art of enumerative combinatorics
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Bibliographic Information
Counting : the art of enumerative combinatorics
(Undergraduate texts in mathematics)
Springer, c2010
- : [pbk.]
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Note
Includes index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"