ENGLISH

Proofs that really count

By Arthur T. Benjamin , Jennifer Quinn

Book information

Publisher
The Mathematical Association of America
Year
2003
ISBN
9780883853337, 0883853337
ASIN
1
LCC
QA164.8 .B46 2003
Open Library ID
OL3697525M
Language
english
Format
DJVU
Filesize
4 MB (4317353 bytes)
Series
Dolciani Mathematical Expositions
Pages
207\207
Library
Kolxoz dop KVKftp
DPI
300
Time added
2009-10-26 15:40:52

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 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.

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