Old and New Unsolved Problems in Plane Geometry and Number Theory

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A01=Stan Wagon
A01=Victor Klee
Author_Stan Wagon
Author_Victor Klee
Category=PBH
Category=PBM
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eq_isMigrated=2
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Product details

  • ISBN 9781470454616
  • Publication Date: 30 Jan 1991
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Paperback
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Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.

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