This book is an outgrowth of classes for students who had little background  in mathematics. Many indicated they never

understood what mathematics is all about beyond what they learned in high school algebra and geometry. Was there

any more mathematics to be created or discovered? How could one actually discover new mathematics? 

The objective of this book is to help the reader obtain an appreciation of mathematics by participating in the discovery

of solutions to various problems.

 

 Each chapter begins with a problem and works towards a solution to the problem. The reader participates in discovering

the solution. There are also comments about the history of the problems, how answers to questions lead to new problems,

how the problems studied relate to other problems that superficially seem to be unrelated, and how some problems that

seem similar are still unsolved.

 

A fuller sense of the scope and methods of the book can be obtained  in the Preface. See also the Table of Contents.

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