Lecture Notes on Differentiable Manifolds

Small book cover: Lecture Notes on Differentiable Manifolds

Lecture Notes on Differentiable Manifolds

Publisher: National University of Singapore
Number of pages: 78

Contents: Tangent Spaces, Vector Fields in Rn and the Inverse Mapping Theorem; Topological and Differentiable Manifolds, Diffeomorphisms, Immersions, Submersions and Submanifolds; Examples of Manifolds; Fibre Bundles and Vector Bundles; Tangent Bundles and Vector Fields; Riemann Metric and Cotangent Bundles; Tensor Bundles, Tensor Fields and Differential Forms; Orientation and Integration; The Exterior Derivative and the Stokes Theorem.

Download or read it online for free here:
Read online
(online reading)

Similar books

Book cover: Lectures on Symplectic GeometryLectures on Symplectic Geometry
by - Springer
An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. The text is written in a clear, easy-to-follow style.
Book cover: Introduction to Differential Topology, de Rham Theory and Morse TheoryIntroduction to Differential Topology, de Rham Theory and Morse Theory
by - Radboud University
Contents: Why Differential Topology? Basics of Differentiable Manifolds; Local structure of smooth maps; Transversality Theory; More General Theory; Differential Forms and de Rham Theory; Tensors and some Riemannian Geometry; Morse Theory; etc.
Book cover: Tight and Taut SubmanifoldsTight and Taut Submanifolds
by - Cambridge University Press
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.
Book cover: Differential TopologyDifferential Topology
by - Johns Hopkins University
This is an elementary text book for the civil engineering students with no prior background in point-set topology. This is a rather terse mathematical text, but provided with an abundant supply of examples and exercises with hints.