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

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Editorial Reviews

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.

Review

For more than half a century, Martin Gardner has been the single brightest beacon defending rationality and good science. . . . He is also one of the most brilliant men and gracious writers I have known. (Stephen Jay Gould )

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

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

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Product Details

• Hardcover: 704 pages
• Publisher: W.W. Norton & Co. (September 10, 2001)
• Language: English
• ISBN-10: 0393020231
• ISBN-13: 978-0393020236
• Product Dimensions: 9.2 x 7 x 1.8 inches
• Shipping Weight: 2.8 pounds (View shipping rates and policies)
• Average Customer Review: 4.1 out of 5 stars  See all reviews (7 customer reviews)
• Amazon.com Sales Rank: #23,845 in Books (See Bestsellers in Books)

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Customer Reviews

Most Helpful Customer Reviews

53 of 56 people found the following review helpful:

5.0 out of 5 stars True Treasure: Stunning Collection of Popular Math Articles, August 15, 2001

By	Dan Sherman (Alexandria, VA USA) - See all my reviews (REAL NAME)

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This is an excellent collection of 50 of Martin Gardner's Scientific American "Mathematical Games" columns that he wrote over a number of years. Gardner wrote his column for 25 years and always managed to find an idea involving mathematics -- sometimes obscure, sometimes not -- and make it very understandable and very interesting through very clear (and often witty) writing combined with excellent illustrations (reproduced here)by Scientific American. Although these articles have been previously reproduced in the 15 collections, this collection is valuable in that Gardner (now in his mid-eighties and still writing away) has added addenda to his earlier articles that nicely update them.

Although some people might think that "recreational mathematics" is a contradiction of terms, Gardner's insight and excellent writing style really do make mathematics enjoyable. At one level, the book can be thought of as a collection of puzzles, in that Gardner often uses a puzzle or otherwise poses a question to ask how a problem can be solved. The book goes way beyond a collection of puzzles, in that Gardner really provides an overview of mathematics concepts involved and goes beyond the simple solution of the puzzle to give the reader a sense of particular concepts in mathematics (e.g., topology). His approach really makes mathematics quite interesting.

I am sure that Gardner's original column got many people (including myself) interested in mathematics, and I hope that this collection will help a new group of readers to develop and maintain curiosity regarding mathematics and its applications. It is, for example, something that teachers might want to refer their students to. If you haven't read other books by Gardner, this is a very good place to start -- I would also recommend his essay collection "The Night is Large" that shows his amazing range of interests (of which mathematics is one part).

14 of 14 people found the following review helpful:

5.0 out of 5 stars The imporatance of Mathematics, October 29, 2003

By	David N. Reiss (Haymarket, VA United States) - See all my reviews (REAL NAME)

Martin Gardner is the grand old man of popular mathematics. He especially likes the math behind puzzles, riddles and logical conundrums. Logic and mathematics is the source of his thinking on the Skepticism he professes in his writings on pseudoscience, religion, the paranormal, UFO's, and other outlands of science and rational thinking.

This book is a collection of his best columns from Scientific American magazine. It was of the good reasons to read the magazine. Like many other things in the last few years, that publication jumped the shark at some point. Gardner was one of the reasons to still read it for a while there.

Gardner, however, is not just interested in the mathematics. The men, and history of the questions is also important to him. That is because it forms a context to the questions and the discovery of the answers. Context is very important to the author. Without it, you really don't know where you are.

If you like the writing of such good folks like Douglas Hofstadter, Jeremy Bernstein, Eli Maor, John Allen Paulos, Richard Feynman, Stephen Jay Gould, Isaac Asimov, Carl Sagan, Arthur C. Clarke or Ed Regis, than you will probably like the writing of Gardner.

Mathematics is something that people don't read a lot. At least not recreationally. Normally because they don't understand that it forms the basis of real logical thought. A real understanding of the modern world requires one of the understand science. And science that isn't, at least in part, based on mathematics isn't real science. It is something more of our leaders should take a real interest in. How can we expect our leaders to make good decisions on cloning or when-life-begins if they have no real understanding of science and mathematics?

Which is why Martin Gardner should be considered a national treasure.

8 of 10 people found the following review helpful:

4.0 out of 5 stars Interesting Read, November 23, 2004

By	Thomas Reiter (Washington DC, DC United States) - See all my reviews (REAL NAME)

I have never read any books on "recreational mathematics" so didn't know quite what to expect from this book--in general I found it entertaining and interesting, with a broad range of topics, including physics, statistics, logical paradoxes, higher dimensions, etc. You don't really have to be a math person to enjoy this book; almost anyone interested in stimulating topics should find at least parts of it interesting.

The book consists of numerous short articles with bibliographies for each. If one article bores you, move on to the next... I found the articles on statistics, logical paradoxes, a 2D Universe (Planiverse) and others very interesting and enjoyable. It is important to understand that this book is not a puzzle book per se; although almost every articles includes some task for hard-core readers to perform ("Prove that...", or "How many..."), it is really intended as reading material.

A few negatives: the articles almost all seem to have been written in the 1950s or 1960s (!); each article has an addendum which attempts to bring it up to date. Although this didn't matter that much to me, since I have never read anything on recreational mathematics, I doubt that much of the material would be new for anyone that reads the topic regularly. Similarly, it would have been more interesting to discover what topics are currently "hot" in this field. Also, the author spends too much time for my taste on trivial mathematical games such as folding paper into different shapes rather than on really thought-provoking mathematical topics (purely a personal preference, I suppose).