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Old and New Unsolved Problems in Plane Geometry and Number Theory (Dolciani Mathematical Expositions)

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Title: Old and New Unsolved Problems in Plane Geometry and Number Theory (Dolciani Mathematical Expositions)
by Victor Klee, Stan Wagon, William Watkins
ISBN: 0-88385-315-9
Publisher: The Mathematical Association of America
Pub. Date: 05 September, 1996
Format: Paperback
Volumes: 1
List Price(USD): $30.95
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Average Customer Rating: 5 (1 review)

Customer Reviews

Rating: 5
Summary: Essential background information on old, unsolved problems
Comment: If progress towards the solution of the unsolved problems is to be continuous, then those in the field must be reminded on a regular basis. Furthermore, it is pretty clear that many of these problems will not be solved using "traditional" approaches, but by some sort of back or side door method. Therefore, those in other areas of mathematics need to see the unsolved problems presented. One never knows when someone working in an area that appears to be unrelated will read a problem and realize that what they are doing can be used to obtain a solution.
This work not only presents the problems, but also gives enough background to allow the non-specialist to understand them. Several leading theorems and their proofs are given, all in a clear, concise style. Many exercises are given at the end of sections, with hints toward solution at the back of the book.
The methods used would also allow this book to be used as a text in an advanced undergraduate colloquium or beginning graduate seminar in the golden oldies of mathematics. The competent undergraduate will have no difficulty comprehending the majority of the material.
An excellent addition to any collection, this book is a key. For it is clear that many of the unsolved problems will be defeated by one who never started with that intent, but saw the problem and had the correct leap of insight.

Published in Journal of Recreational Mathematics, reprinted with permission.

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