**Manifolds**

by Neil Lambert

**Publisher**: King's College London 2011**Number of pages**: 59

**Description**:

From the table of contents: Manifolds (Elementary Topology and Definitions); The Tangent Space; Maps Between Manifolds; Vector Fields; Tensors; Differential Forms; Connections, Curvature and Metrics; Riemannian Manifolds.

Download or read it online for free here:

**Download link**

(350KB, PDF)

## Similar books

**Noncommutative Localization in Algebra and Topology**

by

**Andrew Ranicki**-

**Cambridge University Press**

Noncommutative localization is a technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. The applications to topology are via the noncommutative localizations of the fundamental group rings.

(

**9277**views)

**Lectures on Sheaf Theory**

by

**C.H. Dowker**-

**Tata Institute of Fundamental Research**

A sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space. Contents: Sheaves; Sections; Cohomology groups of a space with coefficients in a presheaf; Introduction of the family Phi; etc.

(

**9780**views)

**The Convenient Setting of Global Analysis**

by

**Andreas Kriegl, Peter W. Michor**-

**American Mathematical Society**

This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory.

(

**13462**views)

**Special Course in Functional Analysis: (Non-)Commutative Topology**

by

**Ville Turunen**-

**Aalto TKK**

In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics.

(

**11465**views)