Euler's gem the polyhedron formula and the birth of topology /
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| Format: | Électronique eBook |
| Langue: | anglais |
| Publié: |
Princeton, N.J. :
Princeton University Press,
c2008.
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| Accès en ligne: | An electronic book accessible through the World Wide Web; click to view |
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Table des matières:
- Leonhard Euler and his three "great" friends
- What is a polyhedron?
- The five perfect bodies
- The Pythagorean brotherhood and Plato's atomic theory
- Euclid and his elements
- Kepler's polyhedral universe
- Euler's gem
- Platonic solids, gold balls, Fullerenes, and geodesic domes
- Scooped by Descartes?
- Legendre gets it right
- A stroll through Königsberg
- Cauchy's flattened polyhedra
- Planar graphs, geoboards, and brussels sprouts
- It's a colorful world
- New problems and new proofs
- Rubber sheets, hollow doughnuts, and crazy bottles
- Are they the same, or are they different?
- A knotty problem
- Combing the hair on a coconut
- When topology controls geometry
- The topology of curvy surfaces
- Navigating in n dimensions
- Henri Poincaré and th ascendance of topology
- The million-dollar question.