Mathematics as 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.