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.

Key Features

* 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:

@subbul* 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

*"synopsis" may belong to another edition of this title.*

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.

Text: English (translation)

Original Language: French

*"About this title" may belong to another edition of this title.*

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**Book Description **Elsevier Science Publishing Co Inc, United States, 1995. Hardback. Book Condition: New. 258 x 178 mm. Language: English . Brand New Book. 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. It includes features such as: 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; and a model of space time. Bookseller Inventory # AAZ9780121858605

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**Book Description **Elsevier Science Publishing Co Inc 1995-01-17, San Diego, 1995. hardback. Book Condition: New. Bookseller Inventory # 9780121858605

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Published by
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**Book Description **Elsevier Science Publishing Co Inc, United States, 1995. Hardback. Book Condition: New. 258 x 178 mm. Language: English . Brand New Book. 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. It includes features such as: 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; and a model of space time. Bookseller Inventory # AAZ9780121858605

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**Book Description **Elsevier Science Publishing Co Inc. Hardback. Book Condition: new. BRAND NEW, Noncommutative Geometry, Alain Connes, Sterling K. Berberian, 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. It includes features such as: 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: @subbul; 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; and a model of space time. Bookseller Inventory # B9780121858605

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**Book Description **Academic Press, 1994. Hardcover. Book Condition: New. Brand New Book. Shipping: Once your order has been confirmed and payment received, your order will then be processed. The book will be located by our staff, packaged and despatched to you as quickly as possible. From time to time, items get mislaid en route. If your item fails to arrive, please contact us first. We will endeavour to trace the item for you and where necessary, replace or refund the item. Please do not leave negative feedback without contacting us first. All orders will be dispatched within two working days. If you have any quesions please contact us. Bookseller Inventory # V9780121858605

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**Book Description **Academic Press, 1994. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Noncommutative Spaces and Measure Theory: Heisenberg and the Noncommutative Algebra of Physical Quantities Associated to a Microscopic System. Statistical State of a Macroscopic System and Quantum Statistical Mechanics. Modular Theory and the Classification of Factors. Geometric Examples of von Neumann Algebras: Measure Theory of Noncommutative Spaces. The Index Theorem for Measured Foliations. Topology and K-Theory: C*-Algebras and their K-Theory. Elementary Examples of Quotient Spaces. The Space X of Penrose Tilings. Duals of Discrete Groups and the Novikov Conjecture. The Tangent Groupoid of a Manifold. Wrong-way Functionality in K-Theory as a Deformation. The Orbit Space of a GroupAction. The Leaf Space of a Foliation. The Longitudinal Index Theorem for Foliations. The Analytic Assembly Map and Lie Groups. Cyclic Cohomology and Differential Geometry: Cyclic Cohomology. Examples. Pairing of Cyclic Cohomology with K-Theory. The Higher Index Theorem for Covering Spaces. The Novikov Conjecture for Hyperbolic Groups. Factors of Type III, Cyclic Cohomology and the Godbillon-Vey Invariant. The Transverse Fundamental Class for Foliations and Geometric Corollaries. QuantizedCalculus: Quantized Differential Calculus and Cyclic Cohomology. The Dixmier Trace and the Hochschild Class of the Character. Quantized Calculus in One Variable and Fractal Sets. Conformal Manifolds. Fredholm Modules and Rank-One Discrete Groups. Elliptic Theory on the Noncommutative Torus (NOTE: See book for proper symbol. Math T with a 2 over () and the Quantum Hall Effect. Entire Cyclic Cohomology. The Chern Character of (-Summable Fredholm Modules. (-Summable K-Cycles, Discrete Groups, and Quantum Field Theory. Operator Algebras: The Papers of Murray and von Neumann. Representations of C*-Algebras. The Algebraic Framework for Noncommutative Integration and the Theory of Weights. The Factors of Powers, Araki and Woods,and of Krieger. The Radon-Nikodom Theorem and Factors of Type III(. Noncommutative Ergodic Theory. Amenable von Neumann Algebras. The Flow of Weights: mod(M). The Classification of Amenable Factors. Subfactors of Type II1 Factors. Hecke Algebras ,Type III Factors and Statistical Theory of Prime Numbers. The Metric Aspect of Noncommutative Geometry: Riemannian Manifolds and the Dirac Operator. Positivity in Hochschild Cohomology and the Inequalities for the Yang-Mills Action. Product of the Continuum by the Discrete and the Symmetry Breaking Mechanism. The Notion of Manifold in Noncommutative Geometry. The Standard U (1) x SU (2) x SU (3) Model. Bibliography. Notation and Conventions. Index.CONTENTS (Chapter Headings): Noncommutative Spaces and Measure Theory. Topology and K-Theory. Cyclic Cohomology and Differential Geometry. Quantized Calculus. Operator Algebras. The Metric Aspect of Noncommutative Geometry. Bibliography. Notation and Conventions. Index. Bookseller Inventory # ABE_book_new_012185860X

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**Book Description **Elsevier Science Publishing Co Inc. Book Condition: New. 1994. 1st Edition. Hardcover. Reveals 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. This work presents an approach to measure theory, geometry, and mathematical physics. It includes features such as: space of Penrose tilings; space of leaves of a foliation; and more. Translator(s): Berberian, Sterling K. Num Pages: 661 pages, references, indices. BIC Classification: PBF; PBKF; PBMW; PBP; PHP. Category: (P) Professional & Vocational. Dimension: 260 x 187 x 41. Weight in Grams: 1356. . . . . . . Bookseller Inventory # V9780121858605

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Published by
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ISBN 13: 9780121858605

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**Book Description **Academic Press, 1995. Hardback. Book Condition: NEW. 9780121858605 661pp., Hardback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0891099

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Published by
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ISBN 10: 012185860X
ISBN 13: 9780121858605

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**Book Description **Elsevier Science Publishing Co Inc. Book Condition: New. 1994. 1st Edition. Hardcover. Reveals 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. This work presents an approach to measure theory, geometry, and mathematical physics. It includes features such as: space of Penrose tilings; space of leaves of a foliation; and more. Translator(s): Berberian, Sterling K. Num Pages: 661 pages, references, indices. BIC Classification: PBF; PBKF; PBMW; PBP; PHP. Category: (P) Professional & Vocational. Dimension: 260 x 187 x 41. Weight in Grams: 1356. . . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780121858605

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