99 Variations on a Proof / / Philip Ording.
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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| Superior document: | Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English |
|---|---|
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2019] ©2019 |
| Year of Publication: | 2019 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (272 p.) :; 25 b/w illus. + 1 color |
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| 100 | 1 | |a Ording, Philip, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a 99 Variations on a Proof / |c Philip Ording. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2019] | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource (272 p.) : |b 25 b/w illus. + 1 color | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t 0. Omitted -- |t 1. One-Line -- |t 2. Two-Column -- |t 3. Illustrated -- |t 4. Elementary -- |t 5. Puzzle -- |t 6. Axiomatic -- |t 7. Found -- |t 8. Prerequisite -- |t 9. Monosyllabic -- |t 10. Wordless -- |t 11. Exam -- |t 12. Ruler and Compass -- |t 13. Reductio ad Absurdum -- |t 14. Contrapositive -- |t 15. Matrices -- |t 16. Ancient -- |t 17. Interpreted -- |t 18. Indented -- |t 19. Jargon -- |t 20. Definitional -- |t 21. Blackboard -- |t 22. Substitution -- |t 23. Symmetry -- |t 24. Another Symmetry -- |t 25. Open Collaborative -- |t 26. Auditory -- |t 27. Algorithmic -- |t 28. Flow Chart -- |t 29. Model -- |t 30. Formulaic -- |t 31. Counterexample -- |t 32. Another Counterexample -- |t 33 Calculus -- |t 34. Medieval -- |t 35. Typeset -- |t 36. Social Media -- |t 37. Preprint -- |t 38. Parataxis -- |t 39. Origami -- |t 40. Induction -- |t 41 Newsprint -- |t 42. Analytic -- |t 43. Screenplay -- |t 44. Omitted with Condescension -- |t 45. Verbal -- |t 46. Cute -- |t 47. Clever -- |t 48. Computer Assisted -- |t 49. Outsider -- |t 50. Chromatic -- |t 51. Topological -- |t 52. Antiquity -- |t 53. Marginalia -- |t 54. Arborescent -- |t 55. Prefix -- |t 56. Postfix -- |t 57. Calculator -- |t 58. Inventor's Paradox -- |t 59. Patented -- |t 60. Geometric -- |t 61. Modern -- |t 62. Axonometric -- |t 63. Back of the Envelope -- |t 64. Research Seminar -- |t 65. Tea -- |t 66. Hand Waving -- |t 67. Approximate -- |t 68. Word Problem -- |t 69. Statistical -- |t 70. Another Medieval -- |t 71. Blog -- |t 72. Translated -- |t 73. Another Translated -- |t 74. Another Interpreted -- |t 75. Slide Rule -- |t 76. Experimental -- |t 77. Monte Carlo -- |t 78. Probabilistic -- |t 79. Intuitionist -- |t 80. Paranoid -- |t 81. Doggerel -- |t 82. Inconsistency -- |t 83. Correspondence -- |t 84. Tabular -- |t 85. Exhaustion -- |t 86. Another Substitution -- |t 87. Mechanical -- |t 88. Dialogue -- |t 89. Interior Monologue -- |t 90. Retrograde -- |t 91. Mystical -- |t 92. Refereed -- |t 93. Neologism -- |t 94. Authority -- |t 95. First Person -- |t 96. Electrostatic -- |t 97. Psychedelic -- |t 98. Mondegreen -- |t 99. Prescribed -- |t Postscript -- |t Acknowledgments -- |t Notes -- |t Sources -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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 distinct historical, formal, and imaginative styles that range from "Medieval," "Topological," and "Doggerel" to "Chromatic," "Electrostatic," and "Psychedelic." Along the way, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics.Inspired by the experiments of the Paris-based writing group known as the Oulipo-whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp-Ording explores new ways to examine the aesthetic possibilities of mathematical activity. This mathematical take on Queneau's Exercises in Style-a collection of 99 retellings of the same story-draws unexpected connections to everything from mysticism and technology to architecture and sign language and includes diagrams, notations, and other imagery that are as amusing as they are edifying. With a rare blend of humor and scholarly aplomb, Ording illustrates the inherent creative potential and flexibility of mathematical language despite its reputation for precision and rigor.Readers of this playful and expansive compendium of mathematical exposition and style will gain not only a bird's-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Every reader, no matter their level of expertise, will discover in these proofs surprising new aspects of the mathematical landscape. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 0 | |a Mathematics |x Philosophy. | |
| 650 | 7 | |a MATHEMATICS / General. |2 bisacsh | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2019 English |z 9783110610765 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2019 |z 9783110664232 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2019 English |z 9783110610406 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2019 |z 9783110606362 |o ZDB-23-DMA |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press Complete eBook-Package 2019 |z 9783110663365 |
| 776 | 0 | |c print |z 9780691158839 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691185422?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691185422 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9780691185422.jpg |
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| 912 | |a 978-3-11-066336-5 Princeton University Press Complete eBook-Package 2019 |b 2019 | ||
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