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
Geometry and Group Theoryby 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.
(19775 views)
Lectures on complex geometry, Calabi-Yau manifolds and toric geometryby Vincent Bouchard - arXiv
These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds.
(9238 views)
Differential Geometry in Physicsby Gabriel Lugo - University of North Carolina at Wilmington
These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.
(18918 views)
Noncommutative Geometry, Quantum Fields and Motivesby Alain Connes, Matilde Marcolli - American Mathematical Society
The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role.
(12855 views)