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In 24 mind-enriching 30 minute lectures, The Art and Craft of Mathematical Problem Solving conducts you through scores of problems at all levels of difficulty under the inspiring guidance of award-winning Professor Paul Zeitz of the University of San Francisco, a former champion "mathlete" in national and international math competitions and a firm believer that mathematical problem solving is an important skill that can be nurtured in practically everyone.
Course Lecture Titles:
01. Problems versus Exercises
02. Strategies and Tactics
03. The Problem Solver's Mind-Set
04. Searching for Patterns
05. Closing the Deal Proofs and Tools
06. Pictures, Recasting, and Points of View
07. The Great Simplifier Parity
08. The Great Unifier Symmetry
09. 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
mORE iNFO
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