Free PDF The Nature and Growth of Modern Mathematics, by Edna Ernestine Kramer
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The Nature and Growth of Modern Mathematics, by Edna Ernestine Kramer
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Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.
- Sales Rank: #122307 in Books
- Brand: Brand: Princeton University Press
- Published on: 1983-02-01
- Original language: English
- Number of items: 1
- Dimensions: 8.50" h x 1.56" w x 5.51" l, 1.70 pounds
- Binding: Paperback
- 784 pages
- Used Book in Good Condition
Review
"Here is one of the clearest expositions of our age's fundamental science, its history and controversies, put together in a volume that manages to bring to its difficult subject all the can't-put-it-down suspense of a good thriller."--Wall Street Journal
Most helpful customer reviews
11 of 12 people found the following review helpful.
Thirty Years and Still the Best
By Tim R. Niles
I first read "The Nature and Growth of Modern Mathematics" in 1970 as an engineering student with minors in math and physics. This book, over the course of a summer, provided me with the history of mathematical development at the same time leaving me with the elementals of math areas in which I had not submerged myself. The effect was a tremendous weaving together of mathematical knowledge - both the rudiments of theory and simple examples of applications - which has served me well in the decades since.
There is a great deal of power in the present era from being able to recognize the appropriate techniques from a more wide knowledge base, at times, yes, to synthesize two or more techniques to solve a potent problem or develop an application. Edna Kramers book gave me a great deal, and it is written in a way that could assist people in all occupations and with all interests.
It is a fascinating and at times awe inspring overview of math.
0 of 0 people found the following review helpful.
Outstanding book to own and refer to
By Terence Michaels
Highly recommend this book, very well written. Some parts were hard to get through as I did not have an adequate background for the subject matter. Nonetheless, I warmly recommend this book and it occupies a place of honor on my bookshelf.
9 of 9 people found the following review helpful.
The best of the Math History books
By A Customer
Edna Kramer's book has 30 chapters. Each one starts with an odd bit of history. Then Edna explains the critical impact this nugget had. After that, she does an excellent write up of the mathematics involved, complete with formulas and proofs. Each chapter is then rounded out with more facts, more history, and more math. Every chapter is superbly structured. I would recommend this book for anyone who enjoys mathematics.
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