Mathematical Discovery
On Understanding
Learning and Teaching Problem Solving
George Polya
CONTENTS FOR VOLUME I
PART ONE
PATTERNS, 1
Chapter 1. The Pattern of Two Loci
Chapter 2. The Cartesian Pattern
Chapter 3. Recursion
Chapter 4. Superposition
PART TWO
TOWARD A GENERAL METHOD
Chapter 5. Problems
Chapter 6. Widening the Scope
Solutions
Appendix
CONTENTS FOR VOLUME II
Chapter 7. Geometric Representation of the Progress of the Solution
Chapter 8. Plans and Programs
Chapter 9. Problems within Problems
Chapter 10. The Coming of the Idea
Chapter 11. The Working of the Mind
Chapter 12. The Discipline of the Mind
Chapter 13. Rules of Discovery?
Chapter 14. On Learning, Teaching and Learning Teaching
Chapter 15. Guessing and Scientific Method
Solutions
Appendix
Problems and Solutions
Bibiliography
Index
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