A Gardner's Workout: Training the Mind and Entertaining the Spirit [NOOK Book]

Overview

For many decades, Martin Gardner, the Grand Master of mathematical puzzles, has provided the tools and projects to furnish our all-too-sluggish minds with an athletic workout. Gardner's problems foster an agility of the mind as they entertain.

This volume presents a new collection of problems and puzzles not previously published in book form. Martin Gardner has dedicated it to "all the underpaid teachers of mathematics everywhere, who love ...

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A Gardner's Workout: Training the Mind and Entertaining the Spirit

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Overview

For many decades, Martin Gardner, the Grand Master of mathematical puzzles, has provided the tools and projects to furnish our all-too-sluggish minds with an athletic workout. Gardner's problems foster an agility of the mind as they entertain.

This volume presents a new collection of problems and puzzles not previously published in book form. Martin Gardner has dedicated it to "all the underpaid teachers of mathematics everywhere, who love their subject and are able to communicate that love to their students."

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Editorial Reviews

From the Publisher
" ""[Gardner's writings]are the best explanations of mathematics you can find and it has already been proven that they light a fire of enthusiasm for mathematics."" -Charles Ashbacher, Journal of Recreational Mathematics , November 2002

""The effectiveness of this book derives in large part from the passion with which Gardner shares his mathematical enthusiasm and on the breadth of erudition of his discussions. This is another winner!"" -Edward J. Barbeau, Crux Mathematicorum , October 2001

""This collection differs from his previous collections in that the articles cover a much wider range than before."" -David Singmaster, LMS , January 2003

"". . . even well-known puzzles retain their power, as was made clear again and again last month at the seventh ""Gathering for Gardner."" These conferences of mathematicians, puzzlers, game-players and magicians at the Ritz-Carlton here began as personal tributes to Martin Gardner, Scientific American's legendary Mathematical Games columnist, and now take place without the master's presence (he is 91). During four days of talks and tricks, the oldest puzzles mixed freely with the newest."" -Edward Rothstein, The New York Times , April 2006

""There are many choice plums among this [collection], some containing a pointer to deeper ideas, some unsolved, and some plain fun, but all entertaining . . . I shall enjoy dipping into the book from time to time . . ."" -The Mathematical Gazette , March 2002

""This is a remarkable book. . . . It will surely produce a paradise for anyone who wants to enjoy teh pleasure of the creative work in his brain."" -EMS Newsletter , March 2003"

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Product Details

  • ISBN-13: 9781568815725
  • Publisher: A K Peters
  • Publication date: 10/1/2009
  • Sold by: Barnes & Noble
  • Format: eBook
  • Pages: 319
  • Sales rank: 899,030
  • File size: 5 MB

Table of Contents

Preface
1 The Opaque Cube 3
2 The Square Root of 2 = 1.414 213 562 373 095 ... 9
3 Flip, the Psychic Robot 21
4 The Propositional Calculus with Directed Graphs 25
5 Mathematics and Wordplay 35
6 Steiner Trees on a Checkerboard 39
7 Tiling the Bent Tromino 61
8 Covering a Cube with Congruent Polygons 73
9 Magic Tricks on a Computer 77
10 Variations in the 12345679 Trick 83
11 More Calculator Whimsies 85
12 Kasparov's Defeat by Deep Blue 91
13 Computers Near the Threshold? 97
14 Cornering the King 109
15 Toroidal Currency 117
16 Six Challenging Dissection Tasks 121
17 Lewis Carroll's Pillow-Problems 129
18 Lewis Carroll's Word Ladders 133
19 The Ant of 1 x 1 x 2 139
20 Three-Point Tiling 143
21 Lucky Numbers and 2187 149
22 3 x 3 Magic Squares 157
23 Some New Discoveries about 3 x 3 Magic Squares 167
24 Primes in Arithmetic Progression 175
25 Prime Magic Squares 181
26 The Dominono Game 187
27 The Growth of Recreational Mathematics 191
28 Maximum Inscribed Squares, Rectangles, and Triangles 203
29 Serial Isogons of 90 Degrees 215
30 Around the Solar System 231
31 Ten Amazing Mathematical Tricks 235
32 Modeling Mathematics with Playing Cards 241
33 The Asymmetric Propeller Theorem 249
34 Chess Queens and Maximum Unattacked Cells 257
35 Lion Hunting 271
36 Two Books of Infinity 275
37 The Universe and the Teacup 281
38 A New Result on Perfect Magic Squares 285
39 The Number Devil 291
40 Probability 1 295
41 Fuzzy New New Math 301
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