About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 147. Chapters: Differential geometry, Sphere, Vector field, Tangent space, Symplectic manifold, Cotangent space, Embedding, Atlas, Chain complex, Partition of unity, Stokes' theorem, Orbifold, Differentiable manifold, Jet bundle, Introduction to gauge theory, Cobordism, Lie derivative, Vector bundle, Fiber bundle, Frobenius theorem, Exotic sphere, Immersion, Connection, Classification of manifolds, Orientability, Eisenbud-Levine-Khimshiashvili signature formula, Contact geometry, Tensor field, Tangent bundle, Implicit and explicit functions, Nonholonomic system, Whitney embedding theorem, Connected sum, Line bundle, Associated bundle, Inverse function theorem, Massey product, Transversality, Kervaire invariant, Cerf theory, Fibration, Hairy ball theorem, Reduction of the structure group, Yamabe invariant, Lie bracket of vector fields, Cotangent bundle, Pontryagin class, Current, Serre-Swan theorem, Integrability conditions for differential systems, Clutching construction, Submanifold, Transversality theorem, H-cobordism, Whitney topologies, Atiyah-Bott fixed-point theorem, Whitney conditions, Pseudogroup, Normal bundle, Unit tangent bundle, Smale's paradox, Canonical coordinates, Section, Glossary of differential geometry and topology, Mazur manifold, Congruence, Poincare-Hopf theorem, L cohomology, Vector flow, Conley index theory, Minimax eversion, Vector fields on spheres, Lie algebra bundle, Obstruction theory, Spinor bundle, Vertical bundle, Regular homotopy, Parallelizable manifold, Covariant classical field theory, Seifert conjecture, Pseudoisotopy theorem, Whitney umbrella, Riemann-Roch theorem for smooth manifolds, Whitney immersion theorem, Horizontal bundle, Donaldson's theorem, Double, Stunted projective space, Symplectization, Donaldson theory, Critical value, Atiyah conjecture, Band sum, Kervaire...
