The colossal book of mathematics Classic puzzles, paradoxes, and problems : number theory, algebra, geometry, probability, topology, game theory, infinity, and other topics of recreational mathematics

Martin Gardner, 1914-2010

Book - 2001

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2nd Floor 510/Gardner Checked In
Subjects
Published
New York : Norton 2001.
Language
English
Main Author
Martin Gardner, 1914-2010 (-)
Physical Description
724 p. : ill
Bibliography
Includes bibliographical references and index.
ISBN
9780393020236
  • Preface
  • I. Arithmetic and Algebra
  • 1.. The Monkey and the Coconuts
  • 2.. The Calculus of Finite Differences
  • 3.. Palindromes: Words and Numbers
  • II. Plane Geometry
  • 4.. Curves of Constant Width
  • 5.. Rep-Tiles
  • 6.. Piet Hein's Superellipse
  • 7.. Penrose Tiles
  • 8.. The Wonders of a Planiverse
  • III. Solid Geometry and Higher Dimensions
  • 9.. The Helix
  • 10.. Packing Spheres
  • 11.. Spheres and Hyperspheres
  • 12.. The Church of the Fourth Dimension
  • 13.. Hypercubes
  • 14.. Non-Euclidean Geometry
  • IV. Symmetry
  • 15.. Rotations and Reflections
  • 16.. The Amazing Creations of Scott Kim
  • 17.. The Art of M. C. Escher
  • V. Topology
  • 18.. Klein Bottles and Other Surfaces
  • 19.. Knots
  • 20.. Doughnuts: Linked and Knotted
  • VI. Probability
  • 21.. Probability and Ambiguity
  • 22.. Nontransitive Dice and Other Paradoxes
  • 23.. More Nontransitive Paradoxes
  • VII. Infinity
  • 24.. Infinite Regress
  • 25.. Aleph-Null and Aleph-One
  • 26.. Supertasks
  • 27.. Fractal Music
  • 28.. Surreal Numbers
  • VIII. Combinatorics
  • 29.. Hexaflexagons
  • 30.. The Soma Cube
  • 31.. The Game of Life
  • 32.. Paper Folding
  • 33.. Ramsey Theory
  • 34.. Bulgarian Solitaire and Other Seemingly Endless Tasks
  • IX. Games and Decision Theory
  • 35.. A Matchbox Game-Learning Machine
  • 36.. Sprouts and Brussels Sprouts
  • 37.. Harary's Generalized Ticktacktoe
  • 38.. The New Eleusis
  • X. Physics
  • 39.. Time Travel
  • 40.. Does Time Ever Stop?
  • 41.. Induction and Probability
  • 42.. Simplicity
  • XI. Logic and Philosophy
  • 43.. The Unexpected Hanging
  • 44.. Newcomb's Paradox
  • 45.. Nothing
  • 46.. Everything
  • XII. Miscellaneous
  • 47.. Melody-Making Machines
  • 48.. Mathematical Zoo
  • 49.. Godel, Escher, Bach
  • 50.. Six Sensational Discoveries
  • Selected Titles by the Author on Mathematics
  • Index
Review by Publisher's Weekly Review

This weighty collection, containing 50 of what the Annotated Alice annotator and popular science journalist considers his best Scientific American "Mathematical Games" columns, is sure to please the relatively small but intensely loyal coterie of Gardner fans. Arranged in 12 broad categories (arithmetic and algebra, plane geometry, topology, infinity, etc.), these pieces cover subjects that will delight recreational math buffs, such as Penrose tiles, hypercubes, Klein bottles and fractal music. In addition to an up-to-date bibliography, each section includes a new, sometimes lengthy addendum, which should be the main hook for those who already own the 15 volumes of Gardner's complete Scientific American columns. While books on math for general audiences by authors such as Amir Aczel have been in vogue of late, they've tended to focus on personalities and to avoid equations. Since this collection is filled with problems and expressions (illustrated with 320 line drawings) that require solving with pencil and paper, its appeal should be mainly limited to puzzle nuts, but Gardner's elegant style could draw in new aficionados. An enemy of charlatanry and pretension, who appreciates the beauty and complexity of language as well as numbers (and still actively writing at age 86), Gardner remains a model of clear prose, understated wit and intellectual honesty. (Aug.) (c) Copyright PWxyz, LLC. All rights reserved

(c) Copyright PWxyz, LLC. All rights reserved