| Description |
1 online resource (184 p.) |
| Contents |
Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Preface -- Contents -- 1. DIFFERENTIABLE MANIFOLDS IN 1Rn -- 1.1 The Space 1Rn -- 1.2 Differentiable Functions -- 1.3 Differentiable Manifolds in 1Rn -- 1.4 Parameterizations and Maps -- 1.5 The Tangent Space of a Manifold -- 1.6 Differentiable Mappings of Manifolds -- 1.7 Orientable and Nonorientable Manifolds -- 1.8 Tensors and Tensor Fields on Manifolds -- 2. CURVES IN E2 AND E3 -- 2.1 The Natural Parameterization -- 2.2 Local Euclidean Invariants -- 2.3 Computation Formulas: Comments and Applications |
|
2.4 Global Theorems for Embedded Curves -- 2.5 Plane Curves -- 3. SURFACES IN E3 -- 3.1 The Fundamental Tensors -- 3.2 Geometry of the Second Fundamental Form -- 3.3 The Covariant Derivative and the Fundamental Theorem -- 3.4 Curves on Surfaces: Geodesic Lines -- 3.5 Some Particular Classes of Surfaces -- 3.6 The Gauss-Bonnet Formula. Compact Surfaces -- REFERENCES AND SUGGESTED READINGS -- INDEX |
| Notes |
Description based upon print version of record |
| Form |
Electronic book
|
| ISBN |
9781000146400 |
|
1000146405 |
|
