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Differential Topology: An Introduction by David B. Gauld ISBN: 048645021X Dover Publications Price: $15.95 click here to see this book This self-contained treatment features 88 helpful illustrations and its subjects include topological spaces and properties, some advanced calculus, differentiable manifolds, orientability, submanifolds and an embedding theorem, and tangent spaces. Additional topics comprise vector fields and integral curves, surgery, classification of orientable surfaces, and Whitney's embedding theorem. 1982 edition. Slightly corrected republication of the edition published by Marcel Dekker, Inc., New York, 1982. Table of Contents for Differential Topology: An Introduction 1. What Is Topology? 2. Topological Spaces 3. Some Topological Properties 4. Some Advanced Calculus 5. Differentiable Manifolds 6. Orientability 7. Submanifolds and an Embedding Theorem 8. Tangent Spaces 9. Critical Points Again 10. Vector Fields and Integral Curves 11. Surgery 12. The Trace of a Surgery 13. Surgery on a Surface 14. Classification of Orientable Surfaces 15. Whitney’s Embedding Theorem Appendix A. The Unproved Theorems Appendix B. Further Topics Notation Bibliography Index

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