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99 Variations on a Proof /

An exploration of the art of mathematics through 99 different proofs of the same theoremThis lively and compelling book offers a unique, multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinc...

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Detalles Bibliográficos
Autor principal: Ording, Philip (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2019]
Temas:
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • 0. Omitted
  • 1. One-Line
  • 2. Two-Column
  • 3. Illustrated
  • 4. Elementary
  • 5. Puzzle
  • 6. Axiomatic
  • 7. Found
  • 8. Prerequisite
  • 9. Monosyllabic
  • 10. Wordless
  • 11. Exam
  • 12. Ruler and Compass
  • 13. Reductio ad Absurdum
  • 14. Contrapositive
  • 15. Matrices
  • 16. Ancient
  • 17. Interpreted
  • 18. Indented
  • 19. Jargon
  • 20. Definitional
  • 21. Blackboard
  • 22. Substitution
  • 23. Symmetry
  • 24. Another Symmetry
  • 25. Open Collaborative
  • 26. Auditory
  • 27. Algorithmic
  • 28. Flow Chart
  • 29. Model
  • 30. Formulaic
  • 31. Counterexample
  • 32. Another Counterexample
  • 33 Calculus
  • 34. Medieval
  • 35. Typeset
  • 36. Social Media
  • 37. Preprint
  • 38. Parataxis
  • 39. Origami
  • 40. Induction
  • 41 Newsprint
  • 42. Analytic
  • 43. Screenplay
  • 44. Omitted with Condescension
  • 45. Verbal
  • 46. Cute
  • 47. Clever
  • 48. Computer Assisted
  • 49. Outsider
  • 50. Chromatic
  • 51. Topological
  • 52. Antiquity
  • 53. Marginalia
  • 54. Arborescent
  • 55. Prefix
  • 56. Postfix
  • 57. Calculator
  • 58. Inventor's Paradox
  • 59. Patented
  • 60. Geometric
  • 61. Modern
  • 62. Axonometric
  • 63. Back of the Envelope
  • 64. Research Seminar
  • 65. Tea
  • 66. Hand Waving
  • 67. Approximate
  • 68. Word Problem
  • 69. Statistical
  • 70. Another Medieval
  • 71. Blog
  • 72. Translated
  • 73. Another Translated
  • 74. Another Interpreted
  • 75. Slide Rule
  • 76. Experimental
  • 77. Monte Carlo
  • 78. Probabilistic
  • 79. Intuitionist
  • 80. Paranoid
  • 81. Doggerel
  • 82. Inconsistency
  • 83. Correspondence
  • 84. Tabular
  • 85. Exhaustion
  • 86. Another Substitution
  • 87. Mechanical
  • 88. Dialogue
  • 89. Interior Monologue
  • 90. Retrograde
  • 91. Mystical
  • 92. Refereed
  • 93. Neologism
  • 94. Authority
  • 95. First Person
  • 96. Electrostatic
  • 97. Psychedelic
  • 98. Mondegreen
  • 99. Prescribed
  • Postscript
  • Acknowledgments
  • Notes
  • Sources
  • Index