The Mathematics of Oz: Mental Gymnastics from Beyond the Edge

ISBN-13: 9780521016780 / Angielski / Twarda / 2002 / 368 str.

Clifford A. Pickover

Opis

Grab a pencil. Relax. Then take off on a mind-boggling journey to the ultimate frontier of math, mind, and meaning as acclaimed author Clifford Pickover, Dorothy, and Dr. Oz explore some of the oddest and quirkiest highways and byways of the numerically obsessed. The thought-provoking mysteries, puzzles, and problems range from zebra numbers and circular primes to Legion's number--a number so big that it makes a trillion pale in comparison. The strange mazes, bizarre consequences, and dizzying arrays of logic problems entertain readers at all levels of mathematical sophistication. The tests devised by enigmatic Dr. Oz to assess human intelligence will tease the brain of even the most avid puzzle fan. They feature a host of mathematical topics: geometry and mazes, sequences, series, sets, arrangements, probability and misdirection, number theory, arithmetic, and even several problems dealing with the physical world. With numerous illustrations, this is an original, fun-filled, and unusual introduction to numbers and their role in creativity, computers, games, practical research, and absurd adventures that teeter on the edge of logic and insanity. Clifford A. Pickover is the author of over twenty highly acclaimed books on such topics as computers and creativity, art, mathematics, black holes, human behavior and intelligence, time travel, alien life, and science fiction. Among his books are Computers, Pattern, Chaos, and Beauty (St. Martin's Press, 1990), Wonders of Numbers (Oxford University Press, 2000), Dreaming the Future (Prometheus, 2001), The Zen of Magic Squares, Circles, and Stars (Princeton University Press, 2001), The Stars of Heaven (Oxford University Press, 2001), The Paradox of God and the Science of Omniscience (Palgrave, 2002). A Ph.D. graduate of Yale University, he is a prolific inventor with dozens of patents, the associate editor for several journals, the author of colorful puzzle calendars, and puzzle contributor to adult and children's magazines. Pickover's computer graphics have been featured on the cover of many popular magazines and on T.V. shows.

Recenzje

'Beside being a pleasant reading, this book is capable of endearing its readers to mathematics. …useful reading for not only mathematics-orientated people, but laymen interested in thinking can find exciting riddles and thinking methods as well. …This book is a recommended reading for each Homo sapiens who likes thinking.' Acta Scientiarum Mathematicarum

Spis treści

Travel guide; Preface; Introduction; Puzzles: 1. The yellow-brick road; 2. Animal array; 3. An experiment with Kansas; 4. An experiment with signs; 5. The logic of greenness; 6. Magical maze; 7. Kansas railway contraction; 8. The problem of the bones; 9. Square overdrive; 10. Squares and cubes; 11. Plex's matrix; 12. Chaos at the clock factory; 13. The upsilon configuration; 14. Bone toss; 15. Animal farm courthouse; 16. Omega sphere; 17. Leg bone shatter produces triangle; 18. Z-bar ranch; 19. Mystery of phasers; 20. Salty number cycle; 21. Where are the composites?; 22. Brain trip; 23. The gaps of omicron; 24. Hutchinson problem; 25. Flint hill series; 26. Wacky tiles; 27. Toto clone puzzle; 28. Legion's number; 29. The problems of the tombs; 30. Plex's tiles; 31. Phasers on targets; 32. The chamber of death and despair; 33. Zebra irrationals; 34. Creatures in resin; 35. Prime-poor equations; 36. Number satellite; 37. Flatworm math; 38. Regolith paradox; 39.; 40. Entroy; 41. Animal gap; 42. Arranging alien heads; 43. Ramanujan congruences and the quest for transcendence; 44. Getting noticed; 45. Juggler numbers; 46. Friends from Mars; 47. Phi in four 4s; 48; On planet zyph; 49. The jellyfish of europa; 50. Archeological dissection; 51. The gamma gambit; 52. Robot hand hive; 53. Ramanujan and the quattuordecillion; 54. Lunatic ferris wheel; 55. The ultimate spindle; 56. Prairie artifact; 57. Alien pellets; 58. The beauty of polygon slicing; 59. Cosmic call; 60. Knight moves; 61. Sphere; 62. Potawatomi target; 63. Sliders; 64. Swapping; 65. Triangle dissection; 66. A simple code; 67. Heterosquare; 68. Insertion; 69. Missing landscape; 70. The choice; 71. Animal selection; 72. The skeletal men of Uranus; 73. Hindbrain stimulation; 74. The arrays of absolution; 75. Trochophore abduction; 76. The dream pyramids of Missouri; 77. Mathematical flower petal; 78. Blood and water; 79. Cavern problems; 80. Three triplets; 81. Oos and oob gambit; 82. Napiform mathematics; 83. Toto, Mr. plex, elephant; 84. Witch overdrive; 85. What is art?; 86. Wendy magic square; 87. Heaven and hell; 88. The stars of heaven; 89. Vacation in the Tarantula nebula; 90. Hot lava; 91. Circular primes; 92. The truth about cats and dogs; 93. Disc mania; 94. N2+m2=s; 95. 2, 271, 2718281; 96. Android watch; 97. Knight moves; 98. Pool table gambit; 99. A connection between pi and e; 100. Venusian number bush; 101. Triangle cave; 102. Rat attack; 103. The scarecrow formula; 104. Circle math; 105. A, AB, ABA; 106. Ants and cheese; 107. The omega crystal; 108. Attack of undulating undecamorphs; Epilog; Further exploring; For further reading; About the author.