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Geometry from a differentiable viewpoint /
"The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss, and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry, and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big pictu...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Cambridge University Press,
2013.
|
| Edición: | 2nd ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Spherical geometry
- Euclid
- The theory of parallels
- Non-Euclidean geometry
- Curves in the plane
- Curves in space
- Surfaces
- Map projections
- Curvature for surfaces
- Metric equivalence of surfaces
- Geodesics
- The Gauss-Bonnet Theorem
- Constant-curvature surfaces
- Abstract surfaces
- Modeling the non-Euclidean plane.