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Proofs that Really Count - Arthur T. Benjamin, Jennifer J. Quinn

Proofs that Really Count

The Art of Combinatorial Proof
Buch | Softcover
194 Seiten
2003
American Mathematical Society (Verlag)
978-1-4704-7259-7 (ISBN)
CHF 104,45 inkl. MwSt
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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. 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.
Erscheinungsdatum
Reihe/Serie Dolciani Mathematical Expositions
Verlagsort Providence
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 1-4704-7259-7 / 1470472597
ISBN-13 978-1-4704-7259-7 / 9781470472597
Zustand Neuware
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