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Proofs That Really Count The Art of Combinatorial Proof~tqw~ darksiderg
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Proofs That Really Count: The Art of Combinatorial Proof
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Type.................: Ebook
Part Size............: 59,971,499 bytes
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Posted by............: ~tqw~
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Release Notes
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Mathematics is the science of patterns, and mathematicians attempt to understand
these patterns and discover new ones using a variety of tools. In Proofs That
Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn
demonstrate that many number patterns, even very complex ones, can be understood
by simple counting arguments.
Table of Contents
Foreword
1. Fibonacci Identities
2. Gibonacci and Lucas Identities
3. Linear Recurrences
4. Continued Fractions
5. Binomial Identities
6. Alternating Sign Binomial Identities
7. Harmonic and Stirling Number Identities
8. Number Theory
9 Advanced Fibonacci & Lucas Identities
Some Hints and Solutions for Chapter Exercises
Appendix of Combinatorial Theorems
Appendix of Identities
Bibliography
Index
About the Authors
Product Details
* ISBN: 0883853337
* ISBN-13: 9780883853337
* Format: Hardcover, 208pp
* Publisher: Mathematical Association of America
* Pub. Date: October 2003
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