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The Colossal Book of Mathematics: Classic Puzzles,Paradoxes,and Problems

AUTHOR: Martin Gardner
ISBN: 0393020231

SHORT DESCRIPTION: No amateur or math authority can be without this ultimate compendium from America's best-loved mathematical expert. From simple algebra and probability to hypercubes and the mysterious realm of the fourth dimension, Martin Gardner has lent his...

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         Editorial Review

The Colossal Book of Mathematics: Classic Puzzles,Paradoxes,and Problems
- Book Review,
by Martin Gardner


From Publishers Weekly
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. Copyright 2001 Cahners Business Information, Inc.


From Book News, Inc.
Gardner has chosen 50 articles from the Mathematical Games column he wrote for Scientific American for 25 years, added a sometimes lengthy addendum, and updated the material. They are in sections on arithmetic and algebra, solid geometry and higher dimensions, probability, games and decision theory, physics, and other topics.Copyright © 2004 Book News, Inc., Portland, OR


Dennis Shasha, Professor of Computer Science, Courant Institute of Mathematical Sciences, NYU
Martin Gardner's puzzles share much with the greatest works of surrealist art: surprising, provocative, and influential for generations to come.


John Allen Paulos, author of (Innumeracy
[A] remarkable retrospective of his astonishingly influential career as an expositor extraordinaire.


From the publisher
No amateur or math authority can be without this ultimate compendium from America's best-loved mathematical expert. Whether discussing hexaflexagons or number theory, Klein bottles or the essence of "nothing," Martin Gardner has single-handedly created the field of "recreational mathematics." The Colossal Book of Mathematics collects Gardner's most popular pieces from his legendary "Mathematical Games" column, which ran in Scientific American for twenty-five years. Gardner's array of absorbing puzzles and mind-twisting paradoxes opens mathematics up to the world at large, inspiring people to see past numbers and formulas and experience the application of mathematical principles to the mysterious world around them. With articles on topics ranging from simple algebra to the twisting surfaces of Mobius strips, from an endless game of Bulgarian solitaire to the unreachable dream of time travel, this volume is a substantial and definitive monument to Gardner's influence on mathematics, science, and culture.

In its twelve sections, The Colossal Book of Mathematics explores a wide range of areas, each startlingly illuminated by Gardner's incisive expertise. Beginning with seemingly simple topics, Gardner expertly guides us through complicated and wondrous worlds: by way of basic algebra we contemplate the mesmerizing, often hilarious, linguistic and numerical possibilities of palindromes; using simple geometry, he dissects the principles of symmetry upon which the renowned mathematical artist M.C. Escher constructs his unique, dizzying universe. Gardner, like few other thinkers today, melds a rigorous scientific skepticism with a profound artistic and imaginative impulse. His stunning exploration of "The Church of the Fourth Dimension," for example, bridges the disparate worlds of religion and science by brilliantly imagining the spatial possibility of God's presence in the world as a fourth dimension, at once "everywhere and nowhere."

With boundless wisdom and his trademark wit, Gardner allows the reader to further engage challenging topics like probability and game theory, which have plagued clever gamblers, as well as famous mathematicians, for centuries. Whether debunking Pascal's wager with basic probability, making visual music with fractals, or uncoiling a "knotted doughnut" with introductory topology, Gardner continuously displays his fierce intelligence and gentle humor. His articles confront both the comfortingly mundane--"Generalized Ticktacktoe" and "Sprouts and Brussels Sprouts"--and the quakingly abstract: "Hexaflexagons," "Nothing," and "Everything." He navigates these staggeringly obscure topics with a deft intelligence and, with addendums and suggested reading lists, he informs these classic articles with new insight.

Admired by scientists and mathematicians, writers and readers alike, Gardner possesses vast knowledge and a burning curiosity that reveal themselves on every page. The culmination of a lifelong devotion to the wonders of mathematics, The Colossal Book of Mathematics is the largest and most comprehensive math book ever assembled by Gardner, and it remains an indispensable volume for the amateur and expert alike.


About the Author
Martin Gardner is the author of more than seventy books on a vast range of topics, including Did Adam and Eve Have Navels?, Calculus Made Easy, and The Annotated Alice. He lives in Hendersonville, North Carolina.


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         Book Review

The Colossal Book of Mathematics: Classic Puzzles,Paradoxes,and Problems
- Book Reviews,
by Martin Gardner

The Colossal Book of Mathematics: Classic Puzzles,Paradoxes,and Problems

FROM THE PUBLISHER

No amateur or math authority can be without this ultimate compendium from America's best-loved mathematical expert. From simple algebra and probability to hypercubes and the mysterious realm of the fourth dimension, Martin Gardner has lent his distinctive brand of wisdom to the wonders of mathematics throughout his illustrious career. Author of Scientific American's "Mathematical Games" column for twenty-five years, the best of his legendary pieces are now collected here in the largest, most comprehensive math book that he has ever produced. Fifty chapters of mind-twisting puzzles fill these pages, from geometry and arithmetic to such unusual topics as knotted doughnuts, hexaflexagons, and the meaning of M. C. Escher's artwork, each chapter drawing on a lifetime of erudition and know-how. Gardner's trademark irreverent style makes even the most ominous-sounding mathematical concepts inviting and engaging. The Colossal Book of Mathematics is wholly accessible to the amateur and expert alike, and is essential reading for anyone who loves puzzles and games. 320 line drawings.

Author Biography: Martin Gardner is the author of more than seventy books on a vast range of topics, including Did Adam and Eve Have Navels?, Calculus Made Easy, and The Annotated Alice. He lives in Hendersonville, North Carolina.

SYNOPSIS

Gardner has chosen 50 articles from the Mathematical Games column he wrote for Scientific American for 25 years, added a sometimes lengthy addendum, and updated the material. They are in sections on arithmetic and algebra, solid geometry and higher dimensions, probability, games and decision theory, physics, and other topics.

Annotation c. Book News, Inc., Portland, OR (booknews.com)

FROM THE CRITICS

Douglas Hofstadter

Martin Gardner is one of the great intellects produced in this country in this century.

Dennis Shasha

Martin Gardner's puzzles share much with the greatest works of surrealist art: surprising, provocative, and influential for generations to come.

John Allen Paulos

[A] remarkable retrospective of his astonishingly influential career as an expositor extraordinaire.

Publishers Weekly

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.) Copyright 2001 Cahners Business Information.


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