The Art and Craft of Problem Solving
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.Chapter 1. What This Book is About and How to Read It.Chapter 2. Strategies for Investigating Problems.Chapter 3. Tactics for Solving Problems.Chapter 4. Three Important Crossover Tactics.Chapter 5. Algebra.Chapter 6. Combinatorics.Chapter 7. Number Theory.Chapter 8. Geometry for Americans.Chapter 9. Calculus.References and Further Reading.Index.Paul Zeitz studied history at Harvard and received a Ph.D. in mathematics from the University of California, Berkeley. He currently is an associate professor at the University of San Francisco. He won the USA Mathematical Olympiad (USAMO) and was a member of the first American team to participate in the International Mathematical Olympiad (IMO) in 1974. Since 1985, he has composed and edited problems for several national math contests, including the USAMO and helped train several American IMO teams, most notably the 1994 Dream Team which, for the first time in history, achieved a perfect score. In 2003, he received the Deborah Tepper Haimo award, a national teaching award for college and university math, given by the Math Association of America.You ve got a lot of problems. Thats a good thing.Across the country, people are joining math clubs, entering math contests, and training to compete in the International Mathematical Olympiad. Whats the attraction? Its simplesolving mathematica@L7=p£× ¾Ûâ¬