Noncommutative geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Diego
Academic Press
©1994
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 613-644) and index 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 mathemat Front Cover; Noncommutative Geometry; Copyright Page; TABLE OF CONTENTS; PREFACE; INTRODUCTION; A. Measure theory (Chapters I and V); B. Topology and K-theory (Chapter II); C. Cyclic cohomology (Chapter III); D. The quantized calculus (Chapter IV); E. The metric aspect of noncommutative geometry; CHAPTER I. NONCOMMUTATIVE SPACE AND MEASURE THEORY; I.1. Heisenberg and the Nonconunutative Algebra of Physical Quantities Associated to a Microscopic System; I.2. Statistical State of a Macroscopic System and Quantum Statistical Mechanics; I.3. Modular Theory and the Classification of Factors |
| Beschreibung: | 1 Online-Ressource (xiii, 661 pages) |
| ISBN: | 0080571751 012185860X 9780080571751 9780121858605 |
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Datensatz im Suchindex
| _version_ | 1804175482675003392 |
|---|---|
| any_adam_object | |
| author | Connes, Alain |
| author_facet | Connes, Alain |
| author_role | aut |
| author_sort | Connes, Alain |
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| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043086183 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:00Z |
| institution | BVB |
| isbn | 0080571751 012185860X 9780080571751 9780121858605 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028510375 |
| oclc_num | 785780361 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiii, 661 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Academic Press |
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| spelling | Connes, Alain Verfasser aut Geometrie non commutative Noncommutative geometry Alain Connes San Diego Academic Press ©1994 1 Online-Ressource (xiii, 661 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 613-644) and index 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 mathemat Front Cover; Noncommutative Geometry; Copyright Page; TABLE OF CONTENTS; PREFACE; INTRODUCTION; A. Measure theory (Chapters I and V); B. Topology and K-theory (Chapter II); C. Cyclic cohomology (Chapter III); D. The quantized calculus (Chapter IV); E. The metric aspect of noncommutative geometry; CHAPTER I. NONCOMMUTATIVE SPACE AND MEASURE THEORY; I.1. Heisenberg and the Nonconunutative Algebra of Physical Quantities Associated to a Microscopic System; I.2. Statistical State of a Macroscopic System and Quantum Statistical Mechanics; I.3. Modular Theory and the Classification of Factors MATHEMATICS / Geometry / Algebraic bisacsh Geometry, Algebraic fast Noncommutative rings fast Geometry, Algebraic Noncommutative rings Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Nichtkommutative Geometrie (DE-588)4171742-9 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 gnd rswk-swf Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 s Nichtkommutative Differentialgeometrie (DE-588)4311174-9 s 1\p DE-604 Nichtkommutative Geometrie (DE-588)4171742-9 s 2\p DE-604 Algebraische Geometrie (DE-588)4001161-6 s 3\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=453747 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Connes, Alain Noncommutative geometry MATHEMATICS / Geometry / Algebraic bisacsh Geometry, Algebraic fast Noncommutative rings fast Geometry, Algebraic Noncommutative rings Algebraische Geometrie (DE-588)4001161-6 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd Operatoralgebra (DE-588)4129366-6 gnd Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4171742-9 (DE-588)4129366-6 (DE-588)4311174-9 |
| title | Noncommutative geometry |
| title_alt | Geometrie non commutative |
| title_auth | Noncommutative geometry |
| title_exact_search | Noncommutative geometry |
| title_full | Noncommutative geometry Alain Connes |
| title_fullStr | Noncommutative geometry Alain Connes |
| title_full_unstemmed | Noncommutative geometry Alain Connes |
| title_short | Noncommutative geometry |
| title_sort | noncommutative geometry |
| topic | MATHEMATICS / Geometry / Algebraic bisacsh Geometry, Algebraic fast Noncommutative rings fast Geometry, Algebraic Noncommutative rings Algebraische Geometrie (DE-588)4001161-6 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd Operatoralgebra (DE-588)4129366-6 gnd Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd |
| topic_facet | MATHEMATICS / Geometry / Algebraic Geometry, Algebraic Noncommutative rings Algebraische Geometrie Nichtkommutative Geometrie Operatoralgebra Nichtkommutative Differentialgeometrie |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=453747 |
| work_keys_str_mv | AT connesalain geometrienoncommutative AT connesalain noncommutativegeometry |