Differential Forms and Cohomology: Course
by Peter Saveliev
Publisher: Intelligent Perception 2013
Number of pages: 300
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
![Book cover: Algebraic and Geometric Topology](images/2485.jpg)
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.
(16624 views)
![Book cover: An Elementary Illustrated Introduction to Simplicial Sets](images/11411.jpg)
by Greg Friedman - arXiv.org
This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.
(8758 views)
![Book cover: Introduction to Algebraic Topology and Algebraic Geometry](images/6363.jpg)
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.
(11356 views)
![Book cover: Elementary Topology](images/2598.jpg)
by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov - American Mathematical Society
This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.
(16893 views)