Elementary Differential Geometry
Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions. It is a subject that contains some of the most bea...
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| Format: | eBook |
| Language: | English |
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London
Springer London
2010, 2010
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| Edition: | 2nd ed. 2010 |
| Series: | Springer Undergraduate Mathematics Series
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Curves in the plane and in space
- How much does a curve curve?
- Global properties of curves
- Surfaces in three dimensions
- Examples of surfaces
- The first fundamental form
- Curvature of surfaces
- Gaussian, mean and principal curvatures
- Geodesics
- Gauss’ Theorema Egregium
- Hyperbolic geometry
- Minimal surfaces
- The Gauss–Bonnet theorem