Book:Louis Auslander/Introduction to Differentiable Manifolds

Subject Matter

 * Topology

Contents

 * Preface


 * Chapter 1 Euclidean, Affine and Differentiable Structure on $R^n$


 * Chapter 2 Differentiable Manifolds


 * Chapter 3 Projective Spaces and Projective Algebraic Varieties


 * Chapter 4 The Tangent Bundle of a Differentiable Manifold


 * Chapter 5 Submanifolds and Riemann Metrics


 * Chapter 6 The Whitney Imbedding Theorem


 * Chapter 7 Lie Groups and Their One-parameter Sub-groups


 * Chapter 8 Integral Manifolds and Lie Subgroups


 * Chapter 9 Fiber Bundles


 * Chapter 10 Multilinear Algebra


 * References


 * Index



Source work progress
* : Euclidean, Affine, and Differentiable Structure on $R^n$: $\text {1-1}$: Euclidean $n$-Space, Linear $n$-Space, and Affine $n$-Space