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Title: Mathematics and Plausible Reasoning (Volume I) by G. Polya ISBN: 0-691-02509-6 Publisher: Princeton Univ Pr Pub. Date: 03 August, 1990 Format: Paperback Volumes: 1 List Price(USD): $26.95 |
Average Customer Rating: 4.67 (3 reviews)
Rating: 5
Summary: Be prepared to be amazed every few pages!
Comment: This book shows you how simple concepts when applied properly can lead to ingenious solutions. For example, the author's proof of the Pythagorean Theorem will leave you shocked by its amazing elegance. And, there are several of these throughout the book.
Read this book. It's money more than well spent.
Rating: 4
Summary: More Than A Math Book
Comment: To follow the book you don't need to be a matematician but it helps to remember this and that about integrals and differentals.
However, the book is more than a guide to mathematical reasoning - you can look at it as a guide to problem solving orriented thinking. I work as a business consultant and I could resist constantly thinking about business decision-making in the context of the book. I strongly recommend it to anybody with interest in management decision-making.
Rating: 5
Summary: At the very root of mathematical discovery
Comment: One of the most beautiful books on scientific discovery. Read this book and then keep it at bedside for sheer amusement. Analogies are frequently the key to a discovery, but it is rare that this essential step receives credit. Here there is a collection of them: some of the most beautiful. Perhaps the most famous is Bernoulli's solution of the brachistochrone problem, based on an analogy with the path of light in the atmosphere. But there are many others, with comments and analysis by Polya, who spent a life thinking at these things. It's a pity he didn't include Riemann's "proof" of the theorem of conformal representation, based on an analogy with the physics of electrical currents on a surface. The reader can find it beautifully described in Richard Courant's "Dirichlet Principle".
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Title: How to Solve It by G. Polya ISBN: 0691023565 Publisher: Princeton Univ Pr Pub. Date: 01 November, 1971 List Price(USD): $18.95 |
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Title: Concepts of Modern Mathematics by Ian Stewart ISBN: 0486284247 Publisher: Dover Pubns Pub. Date: 01 February, 1995 List Price(USD): $10.95 |
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Title: What Is Mathematics?: An Elementary Approach to Ideas and Methods by Richard Courant, Herbert Robbins, Ian Stewart ISBN: 0195105192 Publisher: Oxford University Press Pub. Date: May, 1996 List Price(USD): $21.50 |
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Title: How to Prove It : A Structured Approach by Daniel J. Velleman ISBN: 0521446635 Publisher: Cambridge University Press Pub. Date: 25 November, 1994 List Price(USD): $29.00 |
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Title: How to Read and Do Proofs : An Introduction to Mathematical Thought Processes by Daniel Solow ISBN: 0471406473 Publisher: Wiley Text Books Pub. Date: 06 July, 2001 List Price(USD): $41.95 |
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