Concepts of Modern Mathematics (Paperback)

by Ian Stewart (Author)

Editorial Reviews

Product Description
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math"--groups, sets, subsets, topology, Boolean algebra, and more. By the time readers finish this book, they shall have a much clearer grasp of how modern mathematicians look at figures, function, and formulas, leading them to a better comprehension of the nature of the mathematics itself.

Product Details

• Paperback: 352 pages
• Publisher: Dover Publications; 1 edition (February 1, 1995)
• Language: English
• ISBN-10: 0486284247
• ISBN-13: 978-0486284248
• Product Dimensions: 8.4 x 5.3 x 0.8 inches
• Shipping Weight: 12.8 ounces (View shipping rates and policies)
• Average Customer Review: 4.6 out of 5 stars See all reviews (17 customer reviews)
• Amazon.com Sales Rank: #124,788 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

95 of 95 people found the following review helpful:

5.0 out of 5 stars outstanding guide to higher math for the layman, October 17, 2000

By	Michael Vanier (Pasadena, CA) - See all my reviews (REAL NAME)

This book is very much in the same spirit as more recent books such as Keith Devlin's "Mathematics, the New Golden Age" (which I also recommend). It explains various subjects in pure mathematics in order to make them accessible and interesting to non-mathematicians. A great variety of subjects are covered, including abstract algebra, group theory, number theory, and especially topology, to which the author devotes several chapters. The links between different branches of mathematics (e.g. topology and group theory) are given special attention, and one of the central themes of the book is the fundamental unity of mathematics. I strongly recommend this book to anyone with a serious interest in mathematics. Plus, the price is definitely right!

70 of 71 people found the following review helpful:

5.0 out of 5 stars A classic - the first version of this book appeared in 1975., March 8, 2001

By	Randall Raus (Seal Beach, CA United States) - See all my reviews (REAL NAME)

This charming book was written by a man who knows how to teach, and how to have fun. For example, as each successive topic is discussed, Mr. Stewart is careful to furnish the reader with an intuitive grasp of its main points. Only then, does he delve into the topic's details. However, what really makes this book readable is the author's wit, and sense of delight, as he illuminates--one-by-one--the abstract concepts of modern mathematics. Amazingly, this book can be read by almost anyone, and they will come away with an understanding of the why, and the wherefore, of modern math.

In theory at least, having a degree in pure math meant that I had insights that most engineers don't have. In reality, it meant I was more aware of what I didn't understand. When I got this book, I went straight to the topics I'd never gotten the point of: set theory, topology, and hyperspace. I was not disappointed, but it was not until I settled down and read the whole book that I really got the point. Modern mathematics (modern meaning the late 1800s on) provides a framework for all math. That is why it is--of necessity--more abstract, generalized, and rigorous.

Interestingly, the figures in this book are hand drawn. Perhaps its because this book has a way of transporting the reader to a university classroom - somewhere. It wouldn't have seemed right if the figures were anything but hand drawn.

117 of 124 people found the following review helpful:

5.0 out of 5 stars Absolutely brilliant!, December 25, 1998

By	D. C. Carrad "augustabookman" (Augusta, GA United States) - See all my reviews (TOP 1000 REVIEWER)    (REAL NAME)

Deserves 10 stars. Here is an author who understands so many advanced concepts and who can write smoothly, clearly and convincingly, bearing the reader along with his keen and interesting mind. Convincingly demonstrates the interrelationships between different areas of modern mathematics. Great mathematics for the layman without being in the slightest bit condescending. I have had an amateur's interest in mathematics since high school but was never able to follow it up professionally. This book is the best I have read in the 30 years I have had this interest. A delight to read, educational and informative.