The Art and Craft of Problem Solving

The Art and Craft of Problem Solving, 9780471789017 (0471789011), John Wiley & Sons, 2006

The newly revised Second Edtion of this distinctive text uniquely blends interesting problems with strategies, tools, and techniques to develop mathematical skill and intuition necessary for problem solving. Readers 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.

This new edition of The Art and Craft of Problem Solving is an expanded, and, I hope, improved version of the original work. There are several changes, including:
• A new chapter on geometry. It is long-as many pages as the combinatorics and number theory chapters combined-but it is merely an introduction to the subject. Experts are bound to be dissatisfied with the chapter's pace (slow, especially at the start) and missing topics (solid geometry, directed lengths and angles, Desargues's theorem, the 9-point circle). But this chapter is for beginners; hence its title, "Geometry for Americans." I hope that it gives the novice problem solver the confidence to investigate geometry problems as agressively as he or she might tackle discrete math questions.
• An expansion to the calculus chapter, with many new problems.
• More problems, especially "easy" ones, in several other chapters

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