| Review: |
This book looks at problem solving techniques with particular emphasis on producing inventive skills. It uses competition-like problem solving as a platform for training typical inventive skills. It provides a systematic illustration of how to organize the natural transition from problem-solving activity towards exploring, investigating and discovering new facts and results. The 24 themes touch on almost all elements of mathematics, starting with arithmetic and continuing through algebra, geometry, calculus and applied mathematics. There are solutions to over 100 problems, with hints and ideas for solving over 150 more. |