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Table of Contents
Chapter 1. Differentiable Manifolds
Chapter 2. Tangent Spaces
Chapter 3. Multivariable Differential Calculus
Chapter 4. Topological Properties of Smooth Manifolds
Chapter 5. Immersions, Submersions, and Embeddings
Chapter 6. Sard's Theorem
Chapter 7. Whitney Embedding Theorem
Bibliography.
Chapter 2. Tangent Spaces
Chapter 3. Multivariable Differential Calculus
Chapter 4. Topological Properties of Smooth Manifolds
Chapter 5. Immersions, Submersions, and Embeddings
Chapter 6. Sard's Theorem
Chapter 7. Whitney Embedding Theorem
Bibliography.