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by Louis Auslander,Robert E. MacKenzie
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ISBN: 0486471721 Dover Publications Price: $12.95 |
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The first book to treat manifold theory at an introductory level, this text presents basic concepts in the modern approach to differential geometry. The first six chapters define and illustrate differentiable manifolds. The final four chapters investigate the roles of differential structures in a variety of situations. 1963 edition.
Reprint of the McGraw-Hill Book Company, Inc., New York, 1963 edition.
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Table of Contents for Introduction to Differentiable Manifolds
Chapter 1. Euclidean, Affine, and Differentiable Structure on Rn 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