A Gardner's Workout

by Gardner ,Martin

• ISBN13: 9781568811208
• ISBN10: 1568811209
• Format: Hardcover
• Copyright: 2001-07-18
• Publisher: A. K. Peters

Summary

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. This volume presents a new collection of problems and puzzles not previously published in book form.

Table of Contents

Preface	xi
Part I	1	(268)
The Opaque Cube	3	(6)
The Square Root of 2 = 1.414 213 562 373 095...	9	(12)
Flip, the Psychic Robot	21	(4)
The Propositional Calculus with Directed Graphs	25	(10)
Mathematics and Wordplay	35	(4)
Steiner Trees on a Checkerboard	39	(22)
Tiling the Bent Tromino	61	(12)
Covering a Cube with Congruent Polygons	73	(4)
Magic Tricks on a Computer	77	(6)
Variations on the 12345679 Trick	83	(2)
More Calculator Whimsies	85	(6)
Kasparov's Defeat by Deep Blue	91	(6)
Computers Near the Threshold?	97	(12)
Cornering the King	109	(8)
Toroidal Currency	117	(4)
Six Challenging Dissection Tasks	121	(8)
Lewis Carroll's Pillow-Problems	129	(4)
Lewis Carroll's Word Ladders	133	(6)
The Ant on 1 x 1 x 2	139	(4)
Three-Point Tiling	143	(6)
Lucky Numbers and 2187	149	(8)
3 x 3 Magic Squares	157	(10)
Some New Discoveries about 3 x 3 Magic Squares	167	(8)
Primes in Arithmetic Progression	175	(6)
Prime Magic Squares	181	(6)
The Dominono Game	187	(4)
The Growth of Recreational Mathematics	191	(12)
Maximum Inscribed Squares, Rectangles, and Triangles	203	(12)
Serial Isogons of 90 Degrees	215	(16)
Around the Solar System	231	(4)
Ten Amazing Mathematical Tricks	235	(6)
Modeling Mathematics with Playing Cards	241	(8)
The Asymmetric Propeller Theorem	249	(8)
Chess Queens and Maximum Unattacked Cells	257	(12)
Part II	269	(32)
Lion Hunting	271	(4)
Two Books on Infinity	275	(6)
The Universe and the Teacup	281	(4)
A New Result on Perfect Magic Squares	285	(6)
The Number Devil	291	(4)
Probability 1	295	(6)
Fuzzy New New Math	301