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基本説明
Each chapter in this Gardner collection explores a different theme, for example fractals, surreal numbers, the sculptures of Berrocal, tiling the plane and code breaking, all combining to create a rich diet.
Full Description
Here is another collection drawn from Martin Gardner's 'Mathematical Games' column in Scientific American. Each chapter explores a different theme, for example fractals, surreal numbers, the sculptures of Berrocal, tiling the plane, Ramsey theory and code breaking, all combining to create a rich diet of recreational mathematics. Most chapters can be readily understood by the uninitiated: at each turn there are challenges for the reader and a wealth of references for further reading. Gardner's clarity of style and ability systematically to simplify the complex make this an excellent vehicle in which to start or continue an interest in recreational mathematics.
Contents
Preface; 1. Penrose tiling; 2. Penrose tiling II; 3. Mandelbrot's fractals; 4. Conway's surreal numbers; 5. Back from the Klondike and other problems; 6. The Oulip; 7. The Oulip II; 8. Wythoff's Nim; 9. Pool-ball triangles and other problems; 10. Mathematical induction and colored hats; 11. Negative numbers; 12. Cutting shapes into N congruent parts; 13. Trapdoor ciphers; 14. Trapdoor ciphers II; 15. Hyperbolas; 16. The new Eleusis; 17. Ramsey theory; 18. From burrs to Berrocal; 19. Sicherman dice, the Kruskal count and other curiosities; 20. Raymond Smullyan's logic puzzles; 21. The return of Dr. Matrix.