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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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.
'This book is written in an engaging, conversational style, and this reviewer found it enjoyable to read through (besides learning a few new things). Along the way, there are a few surprises, like the 'world's fastest proof by induction' and a magic trick. As a resource for teaching, and a handy basic reference, it will be a great addition to the library of anyone who uses combinatorial identities in their work.' Society for Industrial and Applied Mathematics Review
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Destinations, frais et délaisVendeur : Moe's Books, Berkeley, CA, Etats-Unis
Hard cover. Etat : Very good. No jacket. Spine is tight. Bottom of spine is chipped. Spine edges are bumped. Inside is clean and unmarked. N° de réf. du vendeur 1149522
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Vendeur : Goodwill, Brooklyn Park, MN, Etats-Unis
Etat : Good. Cover/Case has some rubbing and edgewear. Access codes, CDs, slipcovers and other accessories may not be included. N° de réf. du vendeur 2Y6RVK006ATG_ns
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Vendeur : Toscana Books, AUSTIN, TX, Etats-Unis
Hardcover. Etat : new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks. N° de réf. du vendeur Scanned0883853337
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Vendeur : Salish Sea Books, Bellingham, WA, Etats-Unis
Etat : Very Good. 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. N° de réf. du vendeur SKU-1142AI05306242
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Vendeur : BennettBooksLtd, North Las Vegas, NV, Etats-Unis
hardcover. Etat : New. In shrink wrap. Looks like an interesting title! N° de réf. du vendeur Q-0883853337
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