The Art and Craft of Problem Solving, 2nd Edition
August 2006, ©2007
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).
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.
- 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
- 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.