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The World of Mathematics: A Four-Volume Set [Paperback]

James R. Newman
4.5 out of 5 stars  See all reviews (6 customer reviews)

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Book Description

November 6, 2003
Save 17% when you order the complete set! A monumental 4-volume reference, 15 years in the making, The World of Mathematics was specially designed to make mathematics more accessible to the inexperienced. It comprises non-technical essays on every aspect of the vast subject, including articles by scores of eminent mathematicians and other thinkers.

Frequently Bought Together

The World of Mathematics: A Four-Volume Set + A Profile of Mathematical Logic (Dover Books on Mathematics)
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Product Details

  • Paperback: 2576 pages
  • Publisher: Dover Publications (November 6, 2003)
  • Language: English
  • ISBN-10: 0486432688
  • ISBN-13: 978-0486432687
  • Product Dimensions: 5.5 x 5 x 8.5 inches
  • Shipping Weight: 5.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #173,793 in Books (See Top 100 in Books)

Customer Reviews

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Most Helpful Customer Reviews
90 of 91 people found the following review helpful
5.0 out of 5 stars Great Authors, Great Articles, Great Fun September 12, 2005
Format:Paperback
I pencil in the date that I finish reading an article in James R. Newman's four volume, The World of Mathematics. After a good many years, I now find that I am more than halfway through Newman's remarkable collection that spans 2500 pages. The Newman collection was published in 1956 as a hard cover boxed set that occasionally shows up in used bookstores. More recently, the four volumes have become available in soft cover reprints (Dover Publications) that can be purchased individually.

Newman described his work as "a small library of the literature of mathematics form A'hmose the Scribe to Albert Einstein, presented with commentaries and notes". The individual articles are not abridgements, but are reprinted in their entirety. Some are short, others quite long, a few are easy reading, some are difficult, but none are overwhelming. Each article is introduced by a thoughtful, helpful commentary.

I do not systematically read section by section. I skip around. Often, after Newman introduces me to some mathematical topic, I find myself sidetracked, exploring other books and authors. But eventually I return, select another article, and begin the cycle again.

What makes Newman collection so remarkable? Great original papers, great authors, and wide ranging topics.

Imagine reading Descartes on Cartesian coordinates, Whitehead on mathematical logic, Weyl on symmetry, Dedekind on irrational numbers, Russell on number theory, Heisenberg on the uncertainty principle, Turing on computer intelligence, Boole on set theory, and Eddington on group theory. Biographical and historical articles are scattered throughout. I especially liked Bell's article Invariant Twins: Cayley and Sylvester, and The Great Mathematicians by Turnball.

In some articles noted mathematicians try to define what is mathematical thought and how a mathematician creates mathematics. Clifford writes about The Exactness of Mathematical Laws, Von Neumann on The Mathematician, Weyl on Mathematical Way of Thinking, Poincare on Mathematical Creation, Newman on Godel's Proof, and Russell and Whitehead separately offer their thoughts on mathematical creativity. And, of course, there is G. H. Hardy's remarkable essay, A Mathematician's Apology.

Newman's compilation also includes a fascinating, eclectic mix of articles like How to Hunt a Submarine, Durer as a Mathematician, A Mathematical Approach to Ethics, Geometry in the South Pacific, and The Vice of Gambling and the Virtue of Insurance.

I have had great fun wandering through Newman's four volume set. I may someday finally read the last article. If so, I expect that I will simply begin again. It would be hard to say good-bye.
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41 of 41 people found the following review helpful
5.0 out of 5 stars Excellent collection of original sources January 27, 2006
Format:Paperback
I owned a hardcover version of this set for several years. I loved it. I wish I had thought of penciling in the date I completed an article like the reviewer from Texas. This set is engrossing. You need some discipline to keep from bouncing around for hours. Most of the articles are accessible to people with highschool trigonometry and calculus. It is great that Dover is around to pick up these works that would otherwise fade into history.
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22 of 22 people found the following review helpful
4.0 out of 5 stars Great content but mediocre binding October 5, 2007
Format:Paperback|Amazon Verified Purchase
Love the contents of these books. Truly a classic that stands up well today. Unfortunately Dover chose to reissue these books as trade-press sized books with standard paperback bindings (along with the usual downsides of glue binding). Would have been great to give them a little better treatment (at least a lay-flat binding) for longevity and ease of reading.
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