- CURVES
- Examples, Arclength Parametrization
- Local Theory: Frenet Frame
- Some Global Results
- SURFACES: LOCAL THEORY
- Parametrized Surfaces and the First Fundamental Form
- The Gauss Map and the Second Fundamental Form
- The Codazzi and Gauss Equations and the Fundamental Theorem of Surface Theory
- Covariant Differentiation, Parallel Translation, and Geodesics
- SURFACES: FURTHER TOPICS
- Holonomy and the Gauss-Bonnet Theorem
- An Introduction to Hyperbolic Geometry
- Surface Theory with Differential Forms
- Calculus of Variations and Surfaces of Constant Mean Curvature
- Appendix. REVIEW OF LINEAR ALGEBRA AND CALCULUS
- Linear Algebra Review
- Calculus Review
- Differential Equations
| Description : | Download A First Course in Curves and Surfaces course, PDF book by Theodore Shifrin University of Georgia. |
| Level : | Intermediate |
| Created : | March 30, 2016 |
| Size : | 1.64 MB |
| File type : | |
| Pages : | 128 |
| Author : | Theodore Shifrin University of Georgia |
| Downloads: | 364 |
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