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Most Helpful Customer Reviews
25 of 25 people found the following review helpful:
5.0 out of 5 stars
Great Authors, Great Articles, Great Fun,
By
This review is from: The World of Mathematics, Vol. 2 (Dover Books on Mathematics) (Paperback)
I pencil in the date that I finish reading each 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.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 topics have been chosen with care. Newman preceded each article with a thoughtful commentary. The individual articles are not abridgements, but are reprinted in their entirety. Some articles are short, some quite long, some are easy reading, some are difficult, but few are overwhelming. I have not systematically read section by section. I find that 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 to Newman, select another article, and begin the cycle again. The Newman collection was published in 1956 as a boxed set that occasionally shows up in used bookstores. More recently, the four volumes have become available in soft cover (a Dover reprint) and can be purchased individually. What makes Newman collection so remarkable? The answer is 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. I enjoy the biographical and historical articles scattered throughout the four volumes. I especially liked Bell's article "Invariant Twins, Cayley and Sylvester", The Great Mathematicians" by Turnball, and G. H. Hardy's "A Mathematician's Apology". Mathematicians try to define just 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. This is the "World" of mathematics. Newman's assemblage also includes a fascinating, eclectic mix of articles that I have not encountered elsewhere 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 this four volume set from section to section, article to article. I assume that someday I will finally read the last article. I expect that I will simply begin again. It would be hard to say good-bye to Newman's collection.
9 of 9 people found the following review helpful:
5.0 out of 5 stars
One of my all-time favorite books.,
By
This review is from: The World of Mathematics (4 Volumes Set) (Paperback)
I received this book from my father as a high school graduation gift to take with me as a budding mathematics student at college. I have been "dipping into it" ever since. It is a delicious compendum of all the neat things that have happened in mathematics and those disciplines that mathematics had touched up to the time that the book was written. I received my copy in 1960 and I still delight in looking things up when I see a reference in another book. I've deliberately resisted reading the four volumes from cover to cover as that would spoil the surprise and fun. Different chapters are written by different contributors so there is a wealth of viewpoints and styles. By the 90's the scientific disciplines have become quite adept at sharing their discoveries, but when this book was written it was not yet the accepted thing. So the persective is very interesting. I looked up this book to see if there would be any reviews, so I thought I should write one while I am here.
8 of 8 people found the following review helpful:
5.0 out of 5 stars
Superb reference text for the general reader..,
By
This review is from: The World of Mathematics (4 Volumes Set) (Paperback)
This four volume set is a gem. I bought this treasure back in 1973 but I still go back to it at least twice a week. The writing is uneven because of the different authors who have contributed articles. However, the substance of the book is top notch. Starting with the number system all the way to the differential calculus and parts of game theory, the book is a treasury of mathematical delights. Just pick a chapter, and you are sure to be sucked in. Another point I wish to make is the design and layout of the books. There are no slick, extra large, shiny page designs here. Just plain 6 by 8 size pages with appropriate black and white diagrams. This is when books used to be more like friends, often in one's company, and much perused. It is truly a shame that this series is out of print. If you happen to find it somewhere introduce yourself!!
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