Entertaining Mathematical Puzzles

by
Format: Paperback
Pub. Date: 1986-10-01
Publisher(s): Dover Publications
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Summary

Only an elementary knowledge of math is needed to enjoy this entertaining compilation of brain-teasers. It includes a mixture of old and new riddles covering a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles and more. Carefully explained solutions follow each problem. 65 black-and-white illustrations.

Author Biography

Martin Gardner was a renowned author who published over 70 books on subjects from science and math to poetry and religion. He also had a lifelong passion for magic tricks and puzzles. Well known for his mathematical games column in Scientific American and his "Trick of the Month" in Physics Teacher magazine, Gardner attracted a loyal following with his intelligence, wit, and imagination.

Martin Gardner: A Remembrance
The worldwide mathematical community was saddened by the death of Martin Gardner on May 22, 2010. Martin was 95 years old when he died, and had written 70 or 80 books during his long lifetime as an author. Martin's first Dover books were published in 1956 and 1957: Mathematics, Magic and Mystery, one of the first popular books on the intellectual excitement of mathematics to reach a wide audience, and Fads and Fallacies in the Name of Science, certainly one of the first popular books to cast a devastatingly skeptical eye on the claims of pseudoscience and the many guises in which the modern world has given rise to it. Both of these pioneering books are still in print with Dover today along with more than a dozen other titles of Martin's books. They run the gamut from his elementary Codes, Ciphers and Secret Writing, which has been enjoyed by generations of younger readers since the 1980s, to the more demanding The New Ambidextrous Universe: Symmetry and Asymmetry from Mirror Reflections to Superstrings, which Dover published in its final revised form in 2005.

To those of us who have been associated with Dover for a long time, however, Martin was more than an author, albeit a remarkably popular and successful one. As a member of the small group of long-time advisors and consultants, which included NYU's Morris Kline in mathematics, Harvard's I. Bernard Cohen in the history of science, and MIT's J. P. Den Hartog in engineering, Martin's advice and editorial suggestions in the formative 1950s helped to define the Dover publishing program and give it the point of view which — despite many changes, new directions, and the consequences of evolution — continues to be operative today.

In the Author's Own Words:
"Politicians, real-estate agents, used-car salesmen, and advertising copy-writers are expected to stretch facts in self-serving directions, but scientists who falsify their results are regarded by their peers as committing an inexcusable crime. Yet the sad fact is that the history of science swarms with cases of outright fakery and instances of scientists who unconsciously distorted their work by seeing it through lenses of passionately held beliefs."

"A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful?" — Martin Gardner

Table of Contents

Introduction vii
Part I ARITHMETIC PUZZLES 1(12)
The Colored Socks
3(1)
Weighty Problem
4(2)
The Silver Bar
6(4)
The Three Cats
10(2)
Mrs. Puffem's Cigarettes
12(1)
Part II MONEY PUZZLES 13(12)
Second-Hand Scooter
15(2)
Low Finance
17(2)
No Change
19(2)
Al's Allowance
21(3)
Pick Your Pay
24(1)
Part III SPEED PUZZLES 25(10)
The Bicycles and the Fly
27(2)
The Floating Hat
29(2)
Round Trip
31(2)
Airplane Paradox
33(2)
Part IV PLANE GEOMETRY PUZZLES 35(10)
Corner to Corner
37(1)
The Hindu and the Cat
38(2)
Cutting the Pie
40(3)
Where Does the Square Go?
43(2)
Part V SOLID GEOMETRY PUZZLES 45(8)
Under the Band
47(2)
The Third Line
49(2)
The Painted Cubes
51(1)
The Spotted Basketball
52(1)
Part VI GAME PUZZLES 53(12)
The Circle of Pennies
55(2)
Fox and Goose
57(2)
Bridg-It
59(4)
Nim
63(2)
Part VII PROBABILITY PUZZLES 65(10)
The Three Pennies
67(2)
The Tenth Roll
69(2)
Odds on Kings
71(2)
Boys vs. Girls
73(2)
Part VIII TOPOLOGY PUZZLES 75(12)
The Five Bricks
77(2)
Outside or Inside?
79(3)
The Two Knots
82(3)
Reversing the Sweater
85(2)
Part IX MISCELLANEOUS PUZZLES 87(12)
The Five Tetrominoes
89(3)
The Two Tribes
92(2)
No Time for School
94(2)
Time for Toast
96(2)
The Three Neckties
98(1)
Part X TRICKY PUZZLES 99(12)
Suggestions for Further Reading 111

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