The Pythagorean theorem : a 4,000-year history /
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| Format: | Book |
| Language: | English |
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Princeton :
Princeton University Press,
c2007.
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Table of Contents:
- Prologue: Cambridge, England, 1993
- Mesopotamia, 1800 BCE
- Sidebar 1: Did the Egyptians know it?
- Pythagoras
- Euclid's Elements
- Sidebar 2: The Pythagorean theorem in art, poetry, and prose
- Archimedes
- Translators and commentators, 500-1500 CE
- François Viète makes history
- From the infinite to the infinitesimal
- Sidebar 3: A remarkable formula by Euler
- 371 proofs, and then some
- Sidebar 4: The folding bag
- Sidebar 5: Einstein meets Pythagoras
- Sidebar 6: A most unusual proof
- A theme and variations
- Sidebar 7: A Pythagorean curiosity
- Sidebar 8: A case of overuse
- Strange coordinates
- Notation, notation, notation
- From flat space to curved spacetime
- Sidebar 9: A case of misuse
- Prelude to relativity
- From Bern to Berlin, 1905-1915
- Sidebar 10: Four Pythagorean brainteasers
- But is it universal?
- Afterthoughts
- Epilogue: Samos, 2005.