**Differentiable Manifolds**

by Nigel Hitchin

2003

**Description**:

This is an introductory course on differentiable manifolds. One of the historical driving forces of the theory of manifolds was General Relativity, where the manifold is four-dimensional spacetime, wormholes and all. A large part of the text is occupied with the theory of differential forms and the exterior derivative.

Download or read it online for free here:

**Download link**

(ZIP/PDF)

## Similar books

**Differential Topology**

by

**Bjorn Ian Dundas**-

**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.

(

**5673**views)

**Lectures on Symplectic Geometry**

by

**Ana Cannas da Silva**-

**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.

(

**9182**views)

**Introduction to Symplectic and Hamiltonian Geometry**

by

**Ana Cannas da Silva**

The text covers foundations of symplectic geometry in a modern language. It describes symplectic manifolds and their transformations, and explains connections to topology and other geometries. It also covers hamiltonian fields and hamiltonian actions.

(

**8968**views)

**Introduction to Differential Topology, de Rham Theory and Morse Theory**

by

**Michael Muger**-

**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.

(

**6370**views)