1. The Pardox of the Unexpected Hanging 2. Knots and Borromean Rings 3. The Transcendental Number e 4. Geometric Dissections 5. Scarne on Gambling 6. The Church of the Fourth Dimension 7. Eight Problems 8. A Matchbox Game-Learning Machine 9. Spirals 10. Rotations and Reflections 11. Peg Solitaire 12. Flatlands 13. Chicago Magic Convention 14. Tests of Divisibility 15. Nine Problems 16. The Eight Queens and Other Chessboard Diversions 17. A Loop of String 18. Curves of Constant Width 19. Rep-Tiles: Replicating Figures on the Plane 20. Thirty-Seven Catch Questions
1. Vector Spaces2. Linear Transformations and Matrices3. Elementary Matrix Operations and Systems of Linear Equations4. Determinants5. Diagonalization6. Inner Product Spaces7. Canonical Forms
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