the joy of mathematics, arthur t. benjamin [pdf]

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the joy of mathematics, arthur t. benjamin [pdf]

The Joy of Mathematics. Course Guidebook by Arthur T. Benjamin

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About this book :-
The Joy of Mathematics. Course Guidebook written by Arthur Benjamin
Humans have been having fun with mathematics for thousands of years. Along the way, they've discovered the amazing utility of this field—in science, engineering, finance, games of chance, and many other aspects of life. This course of 24 half-hour lectures celebrates the sheer joy of mathematics, taught by a mathematician who is literally a magician with numbers. Professor Arthur T. Benjamin of Harvey Mudd College is renowned for his feats of mental calculation performed before audiences at schools, theaters, museums, conferences, and other venues.
Although racing a calculator to solve a difficult problem may seem like a superhuman achievement, Professor Benjamin shows that there are simple tricks that allow anyone to look like a math magician. Professor Benjamin has another goal in this course: throughout these lectures, he shows how everything in mathematics is connected—how the beautiful and often imposing edifice that has given us algebra, geometry, trigonometry, calculus, probability, and so much else is based on nothing more than fooling around with numbers.

Book Detail :-
Title: The Joy of Mathematics. Course Guidebook
Author(s): Arthur Benjamin
Publisher: The Great Courses
Series:
Year: 2007
Pages: 181
Type: PDF
Language: English
ISBN:
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.”

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Book Contents :-
The Joy of Mathematics. Course Guidebook written by Arthur Benjamin cover the following topics.
LECTURE GUIDES
LECTURE 1 The Joy of Math—The Big Picture
LECTURE 2 The Joy of Numbers
LECTURE 3 The Joy of Primes
LECTURE 4 The Joy of Counting
LECTURE 5 The Joy of Fibonacci Numbers
LECTURE 6 The Joy of Algebra
LECTURE 7 The Joy of Higher Algebra
LECTURE 8 The Joy of Algebra Made Visual
LECTURE 9 The Joy of 9
LECTURE 10 The Joy of Proofs
LECTURE 11 The Joy of Geometry
LECTURE 12 The Joy of Pi
LECTURE 13 The Joy of Trigonometry
LECTURE 14 The Joy of the Imaginary Number i
LECTURE 15 The Joy of the Number e
LECTURE 16 The Joy of In¿ nity
LECTURE 17 The Joy of In¿ nite Series
LECTURE 18 The Joy of Differential Calculus
LECTURE 19 The Joy of Approximating with Calculus
LECTURE 20 The Joy of Integral Calculus
LECTURE 21 The Joy of Pascal’s Triangle
LECTURE 22 The Joy of Probability
LECTURE 23 The Joy of Mathematical Games
LECTURE 24 The Joy of Mathematical Magic
SUPPLEMENTAL MATERIAL
Glossary
Bibliography