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. ...
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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.
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Add this copy of Proofs That Really Count: the Art of Combinatorial to cart. $60.00, very good condition, Sold by Moe's Books rated 4.0 out of 5 stars, ships from Berkeley, CA, UNITED STATES, published 2003 by The Mathematical Association of America.
Add this copy of Proofs That Really Count-the Art of Combinatorial Proof to cart. $83.38, very good condition, Sold by Literary Cat Books rated 2.0 out of 5 stars, ships from Machynlleth, Powys, WALES, UNITED KINGDOM, published 2003 by The Mathematical Association of America.
Publisher:
Mathematical Association of America (MAA)
Published:
2003
Language:
English
Alibris ID:
18436874398
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Seller's Description:
Near Fine with no dust jacket. 0883853337. A delightful and insightful exploration of combinatorial reasoning, Proofs That Really Count reveals the elegance behind identities involving binomial coefficients, Fibonacci numbers, and more—not through algebraic manipulation, but through intuitive, visual counting arguments. With clarity and creativity, Benjamin and Quinn demonstrate how to “prove without words, ” using bijections, tilings, and clever combinatorial constructions. Ideal for undergraduates, math educators, and curious problem solvers, this book is more than a collection of results—it's a celebration of the beauty and power of combinatorial thinking. A perfect blend of playfulness and rigor, it shows why combinatorics is one of the most creative corners of mathematics.; 18.8x26.1x2.2cm; xiv, 194 pages.
Add this copy of Proofs That Really Count: the Art of Combinatorial to cart. $88.98, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2003 by The Mathematical Association o.
Add this copy of Proofs That Really Count: the Art of Combinatorial to cart. $147.50, very good condition, Sold by Salish Sea Books rated 3.0 out of 5 stars, ships from Bellingham, WA, UNITED STATES, published 2003 by The Mathematical Association of America.
Publisher:
Mathematical Association of America (MAA)
Published:
2003
Language:
English
Alibris ID:
17180230909
Shipping Options:
Standard Shipping: $4.99
Trackable Expedited: $9.99
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Seller's Description:
Very Good; Hardcover; Covers are still glossy; Unblemished textblock edges; The endpapers and all text pages are clean and unmarked; The binding is excellent with a straight spine; This book will be shipped in a sturdy cardboard box with foam padding; Medium-Large Format (Quatro, 9.75"-10.75" tall); Light blue covers with illustration of hands, and title in black and white lettering; 2003, The Mathematical Association of America; 206 pages; "Proofs that Really Count: The Art of Combinatorial Proof (Dolciani Mathematical Expositions), " by Arthur T. Benjamin & Jennifer Quinn.
