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Biscuits of Number Theory
Arthur T. Benjamin and Ezra B. Brown
An anthology of articles designed to supplement a first course in number theory.
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Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Arthur T. Benjamin and Michael B. Shermer
These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned "mathemagician" Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.
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Proofs That Really Count: The Art of Combinatorial Proof
Arthur T. Benjamin and Jennifer J. 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.
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Harvey Mudd College : The Third Decade Plus, 1976-1988
D. Kenneth Baker
Kenneth Baker, second president of Harvey Mudd College, describes events at Harvey Mudd College during his tenure from 1976 to 1988.
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Harvey Mudd College : The First Twenty Years
Joseph B. Platt
Joseph Platt, the author, was the founding president of Harvey Mudd College and a senior professor of physics.
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Mathemagics: How to Look Like a Genius Without Really Trying
Arthur T. Benjamin and Michael B. Shermer
Using proven techniques, Mathemagics presents the secrets of lightning calculation. It shows how to add, subtract, multiply, and divide faster than is possible with a calculator or pencil and paper and helps readers conquer their nervousness about math.
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Teach Your Child Math
Arthur T. Benjamin and Michael B. Shermer
By transforming math "problems" into games, this easy-to-follow book gives parents a fun way to help their children learn math. With an expanded section on problem solving, fun word problems, and entertaining visual concepts, it proves that math can be interesting.
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