Softcover ISBN:  9781470454616 
Product Code:  DOL/11 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781614442196 
Product Code:  DOL/11.E 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
Softcover ISBN:  9781470454616 
eBook: ISBN:  9781614442196 
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 
Softcover ISBN:  9781470454616 
Product Code:  DOL/11 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781614442196 
Product Code:  DOL/11.E 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
Softcover ISBN:  9781470454616 
eBook ISBN:  9781614442196 
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 DetailsDolciani Mathematical ExpositionsVolume: 11; 1991; 333 ppMSC: 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. TwoDimensional 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


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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.

Chapters

Chapter 1. TwoDimensional 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