Contemplate Extreme Values
Course Content
0 / 24 completedStrategies and Tactics
The Problem Solver's Mind-Set
Problems versus Exercises
Searching for Patterns
Closing the Deal—Proofs and Tools
The Great Unifier—Symmetry
Pictures, Recasting, and Points of View
The Great Simplifier—Parity
Contemplate Extreme Values
The Culture of Problem Solving
Symmetry Wins Games!
Recasting Integers Geometrically
Things in Categories—The Pigeonhole Tactic
Recasting Integers with Counting and Series
The Greatest Unifier of All—Invariants
Squarer Is Better—Optimizing 3s and 2s
Using Physical Intuition—and Imagination
Geometry and the Transformation Tactic
Building from Simple to Complex with Induction
Induction on a Grand Scale
A Relentless Tactic Solves a Very Hard Problem
Recasting Numbers as Polynomials—Weird Dice
Genius and Conway's Infinite Checkers Problem
How versus Why—The Final Frontier