000			01301nam a2200169 4500
020			_a9789393330116
082			_a511.62 _bBEN/P
100			_aBenjamin, Arthur T
245			_aProofs that really count : _bthe art of combinatorial proof
260			_aRhode Island _bMAA press _c2003
300			_a194 p.
520			_aMathematics 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 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.
650			_aCombinatorial enumeration problems
650			_aCombinatorial analysis
700			_aQuinn, Jennifer J
942			_cBK
999			_c67085 _d67085