| Document Type
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BL
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| Record Number
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1023380
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| Doc. No
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b777750
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| Main Entry
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Gardner, Martin,1914-2010.
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| Title & Author
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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 /\ Martin Gardner.
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| Edition Statement
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1st ed.
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| Publication Statement
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New York :: Norton,, 2001.
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| Page. NO
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xi, 724 pages :: illustrations ;; 25 cm
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| ISBN
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0393020231
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: 0965256235
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: 9780393020236
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: 9780965256230
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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.
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| Abstract
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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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| Subject
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Mathematical recreations.
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Mathematical recreations.
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Geometrie
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Kombinatorik
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Mathematical recreations.
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Mathematical recreations.
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Paradoxon
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Recreações matemáticas.
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Unterhaltungsmathematik
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Geometrie.
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Kombinatorik.
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Paradoxon.
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Unterhaltungsmathematik.
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| Subject
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Recreatieve wiskunde.
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| Dewey Classification
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793.7/4
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| LC Classification
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QA95.G245 2001
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| NLM classification
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31.99bcl
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31.99.bcl
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MAT 029fstub
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MAT 029f.stub
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SN 300rvk
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SN 300.rvk
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