The Art and Craft of Problem Solving

The Art and Craft of Problem Solving by Zeitz, Paul. paperback edition. ISBN: 9780471789017.

A distinctive text that uniquely blends interesting problems with strategies, tools, and techniques to develop the mathematical skill and intuition necessary for problem solving. Students are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International Mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problems. The book assumes the role of a friendly coach, teaching not just by exposition, but by exhortation, example, and challenge. The target audience is college math majors, but the book is certainly accessible to advanced high school students and to people reading on their own, especially teachers (at any level).