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Description
Henri Poincaré was one of the greatest mathematicians of the late nineteenth and early twentieth century. He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincaré conjecture lies at the heart of... read more
Important People
- Euclid: Euclid was a Greek mathematician, wrote the Elements. Geometry on a flat surface got named after him (Euclidean geometry).
- Karl Friedrich Gauss: Gauss was a mathematician, Bernhard Riemann's teacher and the first one to deal with non-euclidean geometry.
- Janos Bolyai: Janos was a hungarian mathematician and the first one (together with Nikolai Ivanovich Lobachevsky) to publish a treaties on non-euclidean (hyperbolic) geometry.
- Nikolai Ivanovich Lobachevsky: Nikolai was a Russian mathematician and the first one (together with Janos Bolyai) to publish a treaties on non-euclidean (hyperbolic) geometry.
- Bernhard Riemann: Riemann was a German mathematician and he worked extensively on non-euclidean geometries.
- Felix Klein: Klein was a German mathematician who worked on group theory and non-euclidean geometry.
- Henri Poincare: Poincare was a French mathematician who postulated the "Poincare conjecture": Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
- Grigory Perelman: Perelman is a Russian mathematician who solved the Poincare conjecture.
First Sentence
Revolutions in mathematics are quiet affairs.
Table of Contents
1. Cambridge, April 2003
2. The Shape of the Earth
3. Possible Worlds
4. The Shape of the Universe
5. Euclid's Geometry
6. The Non-Euclideans
7. Bernhard Riemann's Probationary Lecture
8. Riemann's Legacy
9. Klein and Poincare
10. Poincare's Topological Papers
11. The Great Savants
12. The Conjecture Takes Hold
13. Higher Dimensions
14. A Solution in the New Millenium
15. Madrid, August 2006
Authors & Contributors
- Donal O'Shea (Author)
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