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Art and Craft of Mathematical Problem Solving

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Let an award-winning professor, and former champion “mathlete” demonstrate how solving math problems can be fun by teaching techniques you can use in many aspects of life.

Syllabus

  • 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
  • By This Professor

Taught by

Paul Zeitz

Reviews

4.4 rating at The Great Courses Plus based on 41 ratings

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