Logo

Noncommutative Geometry by Alain Connes

Large book cover: Noncommutative Geometry

Noncommutative Geometry
by

Publisher: Academic Press
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.

Home page url

Download or read it online for free here:
Download link
(4.1MB, PDF)

Similar books

Book cover: Geometry in PhysicsGeometry in Physics
by
Contents: Exterior Calculus (Exterior Algebra, Differential forms in Rn, Metric, Gauge theory); Manifolds (Basic structures, Tangent space); Lie groups (Lie group actions, Lie algebras, Lie algebra actions, From Lie algebras to Lie groups).
(6589 views)
Book cover: Geometry and Topology in Electronic Structure TheoryGeometry and Topology in Electronic Structure Theory
by - University of Trieste
From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.
(4614 views)
Book cover: Noncommutative Geometry, Quantum Fields and MotivesNoncommutative Geometry, Quantum Fields and Motives
by - 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.
(6830 views)
Book cover: Geometry, Topology and PhysicsGeometry, Topology and Physics
by - 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.
(10772 views)