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Old and New Unsolved Problems in Plane Geometry and Number Theory
 
Old and New Unsolved Problems in Plane Geometry and Number Theory
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-1-4704-5461-6
Product Code:  DOL/11
List Price: $35.00
MAA Member Price: $26.25
AMS Member Price: $26.25
eBook ISBN:  978-1-61444-219-6
Product Code:  DOL/11.E
List Price: $35.00
MAA Member Price: $26.25
AMS Member Price: $26.25
Softcover ISBN:  978-1-4704-5461-6
eBook: ISBN:  978-1-61444-219-6
Product Code:  DOL/11.B
List Price: $70.00 $52.50
MAA Member Price: $52.50 $39.38
AMS Member Price: $52.50 $39.38
Old and New Unsolved Problems in Plane Geometry and Number Theory
Click above image for expanded view
Old and New Unsolved Problems in Plane Geometry and Number Theory
MAA Press: An Imprint of the American Mathematical Society
Softcover ISBN:  978-1-4704-5461-6
Product Code:  DOL/11
List Price: $35.00
MAA Member Price: $26.25
AMS Member Price: $26.25
eBook ISBN:  978-1-61444-219-6
Product Code:  DOL/11.E
List Price: $35.00
MAA Member Price: $26.25
AMS Member Price: $26.25
Softcover ISBN:  978-1-4704-5461-6
eBook ISBN:  978-1-61444-219-6
Product Code:  DOL/11.B
List Price: $70.00 $52.50
MAA Member Price: $52.50 $39.38
AMS Member Price: $52.50 $39.38
  • Book Details
     
     
    Dolciani Mathematical Expositions
    Volume: 111991; 333 pp
    MSC: Primary 00; Secondary 01; 11; 51

    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.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Two-Dimensional Geometry
    • Chapter 2. Number Theory
    • Chapter 3. Interesting Real Numbers
  • Additional Material
     
     
  • Reviews
     
     
    • 'This is a book that not only belongs in every university, college, and high school library, it very definitely belongs in every public library.'

      Mathematical Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 111991; 333 pp
MSC: Primary 00; Secondary 01; 11; 51

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.

  • Chapters
  • Chapter 1. Two-Dimensional Geometry
  • Chapter 2. Number Theory
  • Chapter 3. Interesting Real Numbers
  • 'This is a book that not only belongs in every university, college, and high school library, it very definitely belongs in every public library.'

    Mathematical Reviews
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.