The edge of the universe : celebrating 10 years of Math horizons

edited by Deanna Haunsperger and Stephen Kennedy

Math Horizons celebrates the people and ideas that are mathematics. Containing the editors' selection from the first ten years of the magazine's existence, this volume features exquisite expositions of mathematics accessible at the level of an undergraduate or advanced school student. Broad and appealing, the coverage also includes fiction with mathematical themes; literary, theatrical, and cinematic criticism; humour; history; and social history. Mathematics is shown as a human endeavour through biographies and interviews of mathematicians and users of mathematics including artists, writers, and scientists. The puzzles, games, and activities throughout make it a valuable resource for student maths clubs. Though especially appealing to undergraduate math majors, academics in mathematics, and school teachers and their students, anyone with an interest in mathematics will delight in engaging this volume. Like the magazine from which it is drawn, this collection is an eclectic and wide-ranging look at the culture of mathematics.

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[目次]

  • Preface
  • 1. John Horton Conway - talking a good game
  • 2. Long run predictions
  • 3. The art gallery problem
  • Army beats Harvard in football and mathematics
  • 4. Fermat faces reality - a diophantine drama in one act
  • 5. Why history?
  • 6. Carving mathematics
  • 7. Word ladders - Lewis Carroll's doublets
  • 8. Professor of magic mathematics
  • Weird dice
  • 9. The Chinese domino challenge
  • 10. Making connections - a profile of Fan Chung
  • 11. Math on money
  • 12. The parallel climbers puzzle - a case study in the power of graph models
  • 13. A perfectly odd encounter in a reno cafe n
  • 14. In prime territory
  • 15. 1996 - A triple anniversary
  • 16. A nice genius
  • 17. An ABeCedarian history of mathematics
  • 18. Some surprising theorems about rectangles in triangles
  • 19. Annular rings of equal area
  • 20. Some new discoveries about 3 3 magic squares
  • 21. The eccentricities of actors
  • 22. What's left?
  • 23. Egyptian rope, Japanese paper, and high school math
  • 24. Art Benjamin - mathemagician
  • 25. The PhD of comedy
  • 26. Legislating pi
  • 27. The ultimate flat tire
  • 28. The roots of the branches of mathematics
  • 29. The magician of Budapest
  • 30. Turning theorems into plays
  • 31. Cycloidal areas without calculus
  • 32. A bicentennial for the fundamental theorem of algebra
  • 33. Was Gauss smart?
  • 34. Adoption and reform of the Gregorian calendar
  • 35. Quadrilaterally speaking
  • 36. Stopwatch date
  • 37. A very simple, very paradoxical old space-filling curve
  • 38. Coal miner's daughter
  • 39. Beware of geeks bearing grifts
  • 40. The traveling baseball fan
  • 41. A dozen areal maneuvers
  • 42. Suppose you want to vote strategically
  • 43. TopSpin on the symmetric group
  • 44. Some new results on nonattacking chess tasks
  • 45. Dick Termes and his spheres
  • 46. The edge of the universe - noneuclidean wallpaper
  • 47. Alfred Bray Kempe's 'proof' of the four-color theorem
  • 48. A tale both shocking and hyperbolic
  • 49. Symbols of power
  • 50. The conquest of the Kepler conjecture
  • 51. A match made in mathematics
  • 52. How many women mathematicians can you name?
  • 53. If Pascal had a computer
  • 54. President Garfield and the Pythagorean theorem
  • 55. Life and death on the Go board
  • 56. In search of a practical map fold
  • 57. The world's first mathematics textbook
  • 58. The instability of democratic decisions
  • 59. A baseball giant, a math giant, and the epsilon in the middle
  • 60. Digging for squares
  • 61. A dozen questions about a triangle
  • 62. Geometry and gerrymandering
  • 63. Who is the greatest hitter of them all?
  • 64. Generalized cyclogons
  • 65. Fitch Cheney's five card trick
  • 66. The card game
  • 67. Truels and the future
  • 68. Unreasonable effectiveness
  • 69. How to ace literature - a streetwise guide for the math student
  • 70. Fibonacci's triangle and other abominations
  • 71. A switch in time pays fine?
  • 72. Paintings, plane tilings and proofs
  • 73. Knots to you
  • About the editors.

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この本の情報

書名 The edge of the universe : celebrating 10 years of Math horizons
著作者等 Kennedy Stephen F.
Kennedy Stephen
Haunsperger Deanna
書名別名 Edge of the universe : celebrating ten years of Math horizons
出版元 Mathematical Association of America
刊行年月 c2006
ページ数 xii, 303 p.
大きさ 28 cm
ISBN 9780883855553
NCID BB28250322
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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