Great Courses: The Art and Craft of Mathematical Problem Solving
Art and Craft of Mathematical Problem Solving 4 DVD and Course GuidebookCourse No. 1483 (24 lectures, 30 minutes/lecture) Taught by Paul ZeitzUniversity of San FranciscoPh.D., University of California, BerkeleyCourse Lecture Titles1. Problems versus Exercises 2. Strategies and Tactics 3. The Problem Solver's Mind-Set 4. Searching for Patterns 5. Closing the Deal-Proofs and Tools 6. Pictures, Recasting, and Points of View 7. The Great Simplifier-Parity 8. The Great Unifier-Symmetry 9. Symmetry Wins Games! 10. Contemplate Extreme Values 11. The Culture of Problem Solving 12. Recasting Integers Geometrically 13. Recasting Integers with Counting and Series 14. Things in Categories-The Pigeonhole Tactic 15. The Greatest Unifier of All-Invariants 16. Squarer Is Better-Optimizing 3s and 2s 17. Using Physical Intuition-and Imagination 18. Geometry and the Transformation Tactic 19. Building from Simple to Complex with Induction 20. Induction on a Grand Scale 21. Recasting Numbers as Polynomials-Weird Dice 22. A Relentless Tactic Solves a Very Hard Problem 23. Genius and Conway's Infinite Checkers Problem 24. How versus Why-The Final Frontier