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

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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.

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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

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Product details

Hardcover: 736 pages

Publisher: W. W. Norton & Company; First Edition, Third Printing edition (September 17, 2001)

Language: English

ISBN-10: 0393020231

ISBN-13: 978-0393020236

Product Dimensions:

7.5 x 1.8 x 9.6 inches

Shipping Weight: 2.9 pounds (View shipping rates and policies)

Average Customer Review:

4.6 out of 5 stars

16 customer reviews

Amazon Best Sellers Rank:

#285,787 in Books (See Top 100 in Books)

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).

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).

Martin Gardner is the foremost writer on recreational mathematics. Other reviewers will shed more light on his pedigree; I wish only to add that he is a great writer per se, and that the sheer size and range of this book, coupled with its excellent bibliographies (for each chapter!) and index, make it ideal reading and a great starting point for depper explorations into the mathematical universe.

I grew up with Martin Gardner's Mathematical Games section in Scientific American. If you, too, enjoyed his puzzles, paradoxes and problems, this book is a must.

If you liked any of the Mathematical Game columns or have a general interest in mathematics gratia artis, you will love this book.

Very good book.

Enjoyed the book

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