num_pages: 206
description: 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. The book emphasizes numbers that are often not thought of as numbers that 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.
language: English
title: Proofs that Really Count: The Art of Combinatorial Proof
titlecomplete: Proofs that Really Count: The Art of Combinatorial Proof (Dolciani Mathematical Expositions)
genres: Mathematics
ratings_count: 32
series: Dolciani Mathematical Expositions
publisher: The Mathematical Association of America