Noncommutative Geometry

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Noncommutative Geometry by Alain Connes, Elsevier Science
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Author: Alain Connes ISBN: 9780080571751
Publisher: Elsevier Science Publication: January 17, 1995
Imprint: Academic Press Language: English
Author: Alain Connes
ISBN: 9780080571751
Publisher: Elsevier Science
Publication: January 17, 1995
Imprint: Academic Press
Language: English

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

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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