**Differential Forms and Cohomology: Course**

by Peter Saveliev

**Publisher**: Intelligent Perception 2013

**Description**:

Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**Modern Algebraic Topology**

by

**D. G. Bourgin**-

**Macmillan**

Contents: Preliminary algebraic background; Chain relationships; The absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; etc.

(

**2411**views)

**Manifold Theory**

by

**Peter Petersen**-

**UCLA**

These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.

(

**4742**views)

**Notes on the course Algebraic Topology**

by

**Boris Botvinnik**-

**University of Oregon**

Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; etc.

(

**5098**views)

**Introduction to Algebraic Topology and Algebraic Geometry**

by

**U. Bruzzo**

Introduction to algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for algebraically integrable systems and the geometry of quantum field and string theory.

(

**5835**views)