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The Pythagorean Theorem : a 4,000-Year History.
An exploration of one of the most celebrated and well-known theorems in mathematicsBy any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the th...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2019.
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| Colección: | Princeton science library.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Frontmatter
- Contents
- List of Color Plates
- Preface
- Prologue: Cambridge, England, 1993
- 1. Mesopotamia, 1800 BCE
- Sidebar 1: Did the Egyptians Know It?
- 2. Pythagoras
- 3. Euclid's Elements
- Sidebar 2: The Pythagorean Theorem in Art, Poetry, and Prose
- 4. Archimedes
- 5. Translators and Commentators, 500-1500 CE
- 6. François Viète Makes History
- 7. From the Infinite to the Infinitesimal
- Sidebar 3: A Remarkable Formula by Euler
- 8. 371 Proofs, and Then Some
- Sidebar 4: The Folding Bag
- Sidebar 5: Einstein Meets Pythagoras
- Sidebar 6: A Most Unusual Proof
- 9. A Theme and Variations
- Sidebar 7: A Pythagorean Curiosity
- Sidebar 8: A Case of Overuse
- 10. Strange Coordinates
- 11. Notation, Notation, Notation
- 12. From Flat Space to Curved Spacetime
- Sidebar 9: A Case of Misuse
- 13. Prelude to Relativity
- 14. From Bern to Berlin, 1905-1915
- Sidebar 10: Four Pythagorean Brainteasers
- 15. But Is It Universal?
- 16. Afterthoughts
- Epilogue: Samos, 2005
- Appendixes
- Chronology
- Bibliography
- Illustrations Credits
- Index