**Noncommutative Geometry**

by Alain Connes

**Publisher**: Academic Press 1994**ISBN/ASIN**: 012185860X**ISBN-13**: 9780121858605**Number of pages**: 654

**Description**:

This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields.

Download or read it online for free here:

**Download link**

(4.1MB, PDF)

## Similar books

**Topology and Physics: A Historical Essay**

by

**C. Nash**-

**arXiv**

In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.

(

**11422**views)

**First Steps Towards a Symplectic Dynamics**

by

**Barney Bramham, Helmut Hofer**-

**arXiv**

Both dynamical systems and symplectic geometry have rich theories and the time seems ripe to develop the common core with integrated ideas from both fields. We discuss problems which show how dynamical systems and symplectic ideas come together.

(

**8970**views)

**Geometry, Topology and Physics**

by

**Maximilian Kreuzer**-

**Technische Universitat Wien**

From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.

(

**14783**views)

**Geometry and Group Theory**

by

**Christopher Pope**-

**Texas A&M University**

Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.

(

**16022**views)