Mathematics as Problem Solving [Paperback]

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems.  Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles.

Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries that he found in his problem-solving experiences. With roughly 200 different problems and multiple proofs for each, the reader is challenged to approach problems from different angles, and by these means, experience the beauty of mathematics.

This book joins several other books available for the preparation of young scholars for a future that involves solving mathematical pr- lems. This training not only increases their ?tness in competitions, but may also help them in other endeavors they may engage in the future. The book is a diversi?ed collection of problems from all areas of high school mathematics, and is written in a lively and engaging way. The introductory explanations and worked problems help guide the reader without turning the additional problems into rote repe- tions of the solved ones. The book should become an essential tool in the armamentarium of faculty involved with training future lc%