| Description |
xiii, 253 pages ; 24 cm |
| Series |
Undergraduate texts in mathematics |
|
Undergraduate texts in mathematics.
|
| Contents |
Graphs and Level Sets.- Vector Fields.- The Tangent Space.- Surfaces.- Vector Fields on Surfaces; Orientation.- The Gauss Map.- Geodesics.- Parallel Transport.- The Weingarten Map.- Curvature of Plane Curves.- Arc Length and Line Integrals.- Curvature of Surfaces.- Convex Surfaces.- Parametrized Surfaces.- Local Equivalence of Surfaces and Parametrized Surfaces.- Focal Points.- Surface Area and Volume.- Minimal Surfaces.- The Exponential Map.- Surfaces with Boundary.- The Gauss-Bonnet Theorem.- Rigid Motions and Congruence.- Isometries.- Riemannian Metrics |
| Notes |
Includes indexes |
| Bibliography |
Bibliography: page 245 |
| Subject |
Geometry, Differential.
|
| LC no. |
78023308 |
| ISBN |
0387903577 (New York) |
|
3540903577 (Berlin) |
|
