Elliptic Theory and Noncommutative Geometry Nonlocal Elliptic Operators | 1.54 MB
Title: Elliptic Theory and Noncommutative Geometry Nonlocal Elliptic Operators
Author: Nazaykinskiy, Vladimir E.;Savin, A. Yu.;Sternin, B. Yu.;
Category: Nonfiction, Science & Nature, Mathematics, Geometry
Language: English | 224 Pages | ISBN: 3764387742
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 fieldsFirst full treatment of the subject and its applicationWritten by the pioneer of this field – Broad applications in mathematicOf interest across most fieldIdeal as an introduction and survey – Examples treated include: – the space of Penrose tilingthe space of leaves of a foliation – the space of irreducible unitary representations of a discrete grouthe phase space in quantum mechanicthe Brillouin zone in the quantum Hall effect – A model of space time
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 fieldsFirst full treatment of the subject and its applicationWritten by the pioneer of this field – Broad applications in mathematicOf interest across most fieldIdeal as an introduction and survey – Examples treated include: – the space of Penrose tilingthe space of leaves of a foliation – the space of irreducible unitary representations of a discrete grouthe phase space in quantum mechanicthe Brillouin zone in the quantum Hall effect – A model of space time
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