Proofs that Really Count: The Art of Combinatorial Proof (Dolciani Mathematical Expositions)
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Proofs that Really Count: The Art of Combinatorial Proof (Dolciani Mathematical Expositions) Arthur T. Benjamin is available to download at BookMoving Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools.This eBook is available to download at bookmoving.com and it has been shared by user as Arthur T. Benjamin's eBooks, 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.Proofs that Really Count: ... Textbook The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.