Introduction to Differential Topology

Preface 1. Manifolds and differentiable structures 2. Tangent space 3. Vector bundles 4. Linear algebra for vector bundles 5. Local and tangential properties 6. Sard's theorem 7. Embedding 8. Dynamical systems 9. Isotopy of embeddings 10. Connected sums 11. Second order differential equations and sprays 12. The exponential map and tubular neighbourhoods 13. Manifolds with boundary 14. Transversality References Index of symbols Subject index.