**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

**A Topology Primer**

by

**Klaus Wirthmüller**-

**Technische Universität Kaiserslautern**

The purpose of this text is to make familiar with the basics of topology, to give a concise introduction to homotopy, and to make students familiar with homology. Readers are expected to have knowledge of analysis and linear algebra.

(

**7549**views)

**Topological Groups: Yesterday, Today, Tomorrow**

by

**Sidney A. Morris (ed.)**-

**MDPI AG**

The aim of this book is to describe significant topics in topological group theory in the early 21st century as well as providing some guidance to the future directions topological group theory might take by including some interesting open questions.

(

**1613**views)

**Higher Topos Theory**

by

**Jacob Lurie**-

**Princeton University Press**

Jacob Lurie presents the foundations of higher category theory, using the language of weak Kan complexes, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.

(

**6887**views)

**Algebraic and Geometric Topology**

by

**Andrew Ranicki, Norman Levitt, Frank Quinn**-

**Springer**

The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.

(

**10644**views)