From Library Journal
If you have ever wondered what makes mathematics so fascinating to a mathematician, this may be the book for you. Wells, a British teacher and author of several books of problems and popular mathematics, leads you through topics in geometry, theory of numbers, games, and scientific modeling. In each chapter, the author works upward from simple, specific examples to greater levels of generalization, demonstrating clearly the way new results are actually discovered by mathematicians. He expects only a background in high school algebra and a willingness to put in some effort. Each section contains a number of problems (solutions are found at the end) to challenge the reader, so it is wise to read this book with pencil and paper handy. For popular mathematics collections.?Harold D. Shane, Baruch Coll., CUNY
Copyright 1997 Reed Business Information, Inc.
As the title suggests, Wells expects readers to do more than passively absorb the information he presents in this insightful survey of fundamental mathematical concepts. Dozens of illustrative brainteasers challenge readers to flex their own mathematical muscles as they read about the feats of the discipline's superstars, from Euclid to Euler. (It may console readers defeated by the harder puzzles to learn that giants such as Descartes, Leibniz, and Gauss have published erroneous work and that some centuries-old conundrums continue to vex and confound the best contemporary mathematicians.) But besides introducing us to fascinating personalities, Wells explains how a mathematician probes for a solution or constructs a proof, why a mathematician cannot use the same tools as a scientist, and why humans still outperform computers in perceiving hidden geometric relationships. For the nonmathematican looking for a helpful and entertaining guidebook to the wondrous world of numbers, here it is.
Bryce Christensen