Book:Louis Auslander/Introduction to Differentiable Manifolds

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Louis Auslander and Robert E. MacKenzie: Introduction to Differential Manifolds

Published $1963$, Dover Publications

ISBN 0-486-47172-1.


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