In this Book

The Cult of Pythagoras
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summary
Martínez discusses various popular myths from the history of mathematics. Some stories are partly true, others are entirely false, but all show the power of invention in history. Martínez inspects a wealth of primary sources, in several languages, over a span of many centuries. By exploring disagreements and ambiguities in the history of the elements of mathematics, The Cult of Pythagoras dispels myths that obscure the actual origins of mathematical concepts.

Table of Contents

  1. Frontmatter
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  1. Copyright
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  1. Contents
  2. pp. vii-xii
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  1. Acknowledgments
  2. pp. xiii-xvi
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  1. Introduction
  2. pp. xvii-xxiv
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  1. 1. Triangle Sacrifi ce to the Gods
  2. pp. 1-15
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  1. 2. An Irrational Murder at Sea
  2. pp. 16-28
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  1. 3. Ugly Old Socrates on Eternal Truth
  2. pp. 29-42
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  1. 4. The Death of Archimedes
  2. pp. 43-58
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  1. 5. Gauss, Galois, and the Golden Ratio
  2. pp. 59-81
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  1. 6. From Nothing to Infinity
  2. pp. 82-100
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  1. 7. Euler’s Imaginary Mistakes
  2. pp. 101-112
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  1. 8. The Four of Pythagoras
  2. pp. 113-133
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  1. 9. The War over the Infinitely Small
  2. pp. 134-155
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  1. 10. Impossible Triangles
  2. pp. 156-180
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  1. 11. Inventing Mathematics?
  2. pp. 181-200
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  1. 12. The Cult of Pythagoras
  2. pp. 201-216
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  1. Notes
  2. pp. 217-256
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  1. Illustration Sources and Credits
  2. pp. 257-258
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  1. Index
  2. pp. 259-264
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