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The colossal book of mathematics : classic puzzles, paradoxes, and problems : number theory, algebra, geometry, probability, topology, game theory, infinity, and other topics of recreational mathematics

Author: Martin Gardner
Publisher: New York : Norton, 2001.
Edition/Format:   Print book : English : 1st edView all editions and formats
Database:WorldCat
Summary:
The author presents a selection of pieces from his Scientific American "Mathematical Games" column, presenting puzzles and concepts that range from arithmetic and geometrical games to the meaning of M.C. Escher's artwork.
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Document Type: Book
All Authors / Contributors: Martin Gardner
ISBN: 0393020231 9780393020236 9780965256230 0965256235
OCLC Number: 46240397
Description: xi, 724 pages : illustrations ; 25 cm
Contents: Preface --
I. Arithmetic and algebra. 1. The monkey and the coconuts ; 2. The calculus of finite differences ; 3. Palindromes : words and numbers --
II. Plane geometry. 4. Curves of constant width ; 5. Rep-tiles ; 6. Piet Hein's superellipse ; 7. Penrose tiles ; 8. The wonders of a planiverse --
III. Solid geometry and higher dimensions. 9. The helix ; 10. Packing spheres ; 11. Spheres and hyperspheres ; 12. The Church of the Fourth Dimension ; 13. Hypercubes ; 14. Non-Euclidean geometry --
IV. Symmetry. 15. Rotations and reflections ; 16. The amazing creations of Scott Kim ; 17. The art of M.C. Escher --
V. Topology. 18. Klein bottles and other surfaces ; 19. Knots ; 20. Doughnuts : linked and knotted --
VI. Probability. 21. Probability and ambiguity ; 22. Nontransitive dice and other paradoxes ; 23. More nontransitive paradoxes --
VII. Infinity. 24. Infinite regress ; 25. Aleph-null and aleph-one ; 26. Supertasks ; 27. Fractal music ; 28. Surreal numbers --
VIII. Combinatorics. 29. Hexaflexagons ; 30. The Soma cube ; 31. The game of life ; 32. Paper folding ; 33. Ramsey theory ; 34. Bulgarian solitaire and other seemingly endless tasks --
IX. Games and decision theory. 35. A matchbox game-learning machine ; 36. Sprouts and Brussels sprouts ; 37. Harary's generalized ticktacktoe ; 38. The new Eleusis --
X. Physics. 39. Time travel ; 40. Does time ever stop? ; 41. Induction and probability ; 42. Simplicity --
XI. Logic and philosophy. 43. The unexpected hanging ; 44. Newcomb's paradox ; 45. Nothing ; 46. Everything --
XII. Miscellaneous. 47. Melody-making machines ; 48. Mathematical zoo ; 49. Gödel, Escher, Bach ; 50. Six sensational discoveries.
Responsibility: Martin Gardner.
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No amateur or math authority can be without this ultimate compendium from America's best-loved mathematical expert.  Read more...

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"For more than half a century, Martin Gardner has been the single brightest beacon defending rationality and good science... He is also one of the most brilliant men and gracious writers I have Read more...

 
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