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Proofs that Really Count: The Art of Combinatorial Proof by Arthur T. Benjamin, Jennifer Quinn
**

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**About this book :- **
**Proofs that Really Count: The Art of Combinatorial Proof ** written by
** Arthur T. Benjamin, Jennifer Quinn **

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.

**Book Detail :- **
** Title: ** Proofs that Really Count: The Art of Combinatorial Proof
** Author(s): ** Arthur T. Benjamin, Jennifer Quinn
** Publisher: ** Mathematical Association of America
** Series: ** Dolciani mathematical expositions
** Year: ** 2003
** Pages: ** 208
** Type: ** PDF
** Language: ** English
** ISBN: ** 9780883853337,0883853337
** Country: ** US

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**About Author :- **

Author ** Arthur T. Benjamin ** is a Professor of Mathematics at Harvey Mudd College. He graduated from Carnegie Mellon University in 1983, where he earned a B.S. in Applied Mathematics with university honors. He received his Ph.D. in Mathematical Sciences in 1989 from Johns Hopkins University, where he was supported by a National Science Foundation graduate fellowship and a Rufus P. Isaacs fellowship. Since 1989, Dr. Benjamin has been a faculty member of the Mathematics Department at Harvey Mudd College, where he has served as department chair. He has spent sabbatical visits at Caltech, Brandeis University, and University of New South Wales in Sydney, Australia.

1999, Professor Benjamin received the Southern California Section of the Mathematical Association of America (MAA) Award for Distinguished College or University Teaching of Mathematics, and in 2000, he received the MAA Deborah and Franklin Tepper Haimo National Award for Distinguished College or University Teaching of Mathematics. He was named the 2006í2008 George Pólya Lecturer by the MAA.

Dr. Benjamin’s research interests include combinatorics, game theory, and number theory, with a special fondness for Fibonacci numbers. Many of these ideas appear in his book (co-authored with Jennifer Quinn), Proofs That Really Count: The Art of Combinatorial Proof published by the MAA. In 2006, that book received the Beckenbach Book Prize by the MAA. Professors Benjamin and Quinn are the co-editors of Math Horizons magazine, published by MAA and enjoyed by more than 20,000 readers, mostly undergraduate math students and their teachers.

Professor Benjamin is also a professional magician. He has given more than 1,000 “mathemagics” shows to audiences all over the world (from primary schools to scienti¿ c conferences), where he demonstrates and explains his calculating talents. His techniques are explained in his book Secrets of Mental Math: The Mathemagician’s Guide to Lightning Calculation and Amazing Math Tricks. Proli¿ c math and science writer Martin Gardner calls it “the clearest, simplest, most entertaining, and best book yet on the art of calculating in your head.” An avid games player, Dr. Benjamin was winner of the American Backgammon Tour in 1997.

Professor Benjamin has appeared on dozens of television and radio programs, including the Today Show, CNN, and National Public Radio. He has been featured in Scienti¿ c American, Omni, Discover, People, Esquire, The New York Times, the Los Angeles Times, and Reader’s Digest. In 2005, Reader’s Digest called him “America’s Best Math Whiz.”

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Proofs that Really Count: The Art of Combinatorial Proof by Arthur T. Benjamin, Jennifer Quinn **

** • Download PDF Mathemagics: How to Look Like a Genius Without Really Trying by Arthur Benjamin, Michael Shermer**

** • Download PDF Math and Magic by Arthur T. Benjamin **

** • Download PDF Mathe Magie by Arthur Benjamin, Michael Shermer **

** • Download PDF The Calculus Story: A Mathematical Adventure, David Acheson **

** • Download PDF Biscuits of Number Theory by Arthur T Benjamin, Ezra Brown **

** • Download PDF The Fascinating World of Graph Theory by Arthur Benjamin, Gary Chartrand, Ping Zhang **

** • Download PDF Teach Your Child Math by Arthur Benjamin, Michael Brant Shermer **

** • Download PDF Secrets of Mental Math by Arthur Benjamin, Michael Shermer **

** • Download PDF The Joy of Mathematics. Course Guidebook by Arthur T. Benjamin **

** • Download PDF The Magic of Math: Solving for x and Figuring Out Why by Arthur T. Benjamin **

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**Book Contents :- **
**Proofs that Really Count: The Art of Combinatorial Proof ** written by
** Arthur T. Benjamin, Jennifer Quinn **
cover the following topics.

1.Fibonacci Identities

2.Gibonacci and Locus Identities

3.Linear Recurrences

4.Continued Fractions

5.Binomial Identities

6.Alternating Sign Binomial Identities

7.Harmonic and Stirling Number Identities

8.Number Theory

9.Advanced Fibonacci and Lucas Identities

Some Hints and Solutions for Chapter Exercises

Appendix of Combinatorial Theorems

Appendix of Identities

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**SHORTCUT TRICKS (Division):- **

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