Noncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 - Softcover

Connes, Alain; Cuntz, Joachim

Softcover

ISBN 10: 3662180391 ISBN 13: 9783662180396

Publisher: Springer, 2014

Synopsis

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.

• First full treatment of the subject and its applications
• Written by the pioneer of this field
• Broad applications in mathematics
• Of interest across most fields
• Ideal as an introduction and survey
• Examples treated include:
• the space of Penrose tilings
• the space of leaves of a foliation
• the space of irreducible unitary representations of a discrete group
• the phase space in quantum mechanics
• the Brillouin zone in the quantum Hall effect
• A model of space time

About this title

From the Back Cover

Developed by Alain Connes, noncummutative geometry is the set of tools and methods that makes possible the classification and analysis of a broad range of objects beyond the reach of classical methods. This English version of the path-breaking French book on the subject gives the definitive treatment of his revolutionary approach to measure theory, geometry, and mathematical physics. 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.

Language Notes

Text: English (translation)
Original Language: French

Edition details

• Publisher: Springer
• Publication date: 2014
• ISBN 10: 3662180391
• ISBN 13: 9783662180396
• Binding: Paperback
• Language: English
• Number of pages: 372
• Editor: Doplicher Sergio