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The Art and Craft of Problem Solving, 2nd Edition

August 2006, ©2007
The Art and Craft of Problem Solving, 2nd Edition (EHEP000741) cover image


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). 

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Table of Contents

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.


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Author Information

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.
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New To This Edition

  • Paperback! (lower price)
  • New chapter on geometry
  • Revised and expanded calculus chapter with many new problems
  • New examples & exercises
  • More problems, especially "easy" ones in several chapters
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The Wiley Advantage

  • Focuses on problem solving rather than doing exercises using a good collection of interesting, non-routine problems.
  • A multilevel text that is engaging for beginners and math faculty alike.
  • Energetic, precise, and lively writing style that presents mathematical solutions in a clear, straightforward way to expose students to ways of thinking that can lead to results.
  • Structured to first discuss overall strategies and then specifics to allow both the instructor and student to see how to develop a mode of attack and how to apply specific techniques to problems.


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"Overall, The Art and Craft of Problem Solving is an excellent gateway to the culture of problem solving. It is challenging and rewarding. Zeitz’s book shines a new light on mathematics and engages readers with its wonderful insights and problems." (Mathematical Association of America 2016)
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Purchase Options
The Art and Craft of Problem Solving, 2nd Edition
ISBN : 978-0-471-78901-7
384 pages
August 2006, ©2007
$88.95   BUY

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