Noncommutative geometry :: a functional approach /
This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical remarks, bibliogra...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin :
De Gruyter,
2017.
|
| Schriftenreihe: | De Gruyter studies in mathematics ;
66. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical remarks, bibliography, and a list of exercises is included. The presentation is intended for graduate students and researchers with interests in NCG, but will also serve nonexperts in the field.--Provided by publisher. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 311054525X 9783110545258 9783110543483 3110543486 |
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| contents | Introduction -- Basics -- Model examples -- Categories and functors -- C-algebras -- Noncommutative invariants -- Topology -- Algebraic geometry -- Number theory -- Brief survey of NCG -- Finite geometries -- Continuous geometries -- Connes geometries -- Index theory -- Jones polynomials -- Quantum groups -- Noncommutative algebraic geometry -- Trends in noncommutative geometry. |
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| series | De Gruyter studies in mathematics ; |
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| spelling | Nikolaev, Igor V. Noncommutative geometry : a functional approach / Igor V. Nikolaev. Berlin : De Gruyter, 2017. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter studies in mathematics ; 66 Includes bibliographical references. Print version record. Introduction -- Basics -- Model examples -- Categories and functors -- C-algebras -- Noncommutative invariants -- Topology -- Algebraic geometry -- Number theory -- Brief survey of NCG -- Finite geometries -- Continuous geometries -- Connes geometries -- Index theory -- Jones polynomials -- Quantum groups -- Noncommutative algebraic geometry -- Trends in noncommutative geometry. This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical remarks, bibliography, and a list of exercises is included. The presentation is intended for graduate students and researchers with interests in NCG, but will also serve nonexperts in the field.--Provided by publisher. Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Noncommutative algebras. http://id.loc.gov/authorities/subjects/sh85092241 Géométrie. Algèbres non commutatives. geometry. aat MATHEMATICS Geometry General. bisacsh Geometry fast Noncommutative algebras fast has work: Noncommutative geometry (Text) https://id.oclc.org/worldcat/entity/E39PCGBTQ4CJ3D6GxJKmvwTFgC https://id.oclc.org/worldcat/ontology/hasWork De Gruyter studies in mathematics ; 66. http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1636966 Volltext |
| spellingShingle | Nikolaev, Igor V. Noncommutative geometry : a functional approach / De Gruyter studies in mathematics ; Introduction -- Basics -- Model examples -- Categories and functors -- C-algebras -- Noncommutative invariants -- Topology -- Algebraic geometry -- Number theory -- Brief survey of NCG -- Finite geometries -- Continuous geometries -- Connes geometries -- Index theory -- Jones polynomials -- Quantum groups -- Noncommutative algebraic geometry -- Trends in noncommutative geometry. Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Noncommutative algebras. http://id.loc.gov/authorities/subjects/sh85092241 Géométrie. Algèbres non commutatives. geometry. aat MATHEMATICS Geometry General. bisacsh Geometry fast Noncommutative algebras fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054133 http://id.loc.gov/authorities/subjects/sh85092241 |
| title | Noncommutative geometry : a functional approach / |
| title_auth | Noncommutative geometry : a functional approach / |
| title_exact_search | Noncommutative geometry : a functional approach / |
| title_full | Noncommutative geometry : a functional approach / Igor V. Nikolaev. |
| title_fullStr | Noncommutative geometry : a functional approach / Igor V. Nikolaev. |
| title_full_unstemmed | Noncommutative geometry : a functional approach / Igor V. Nikolaev. |
| title_short | Noncommutative geometry : |
| title_sort | noncommutative geometry a functional approach |
| title_sub | a functional approach / |
| topic | Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Noncommutative algebras. http://id.loc.gov/authorities/subjects/sh85092241 Géométrie. Algèbres non commutatives. geometry. aat MATHEMATICS Geometry General. bisacsh Geometry fast Noncommutative algebras fast |
| topic_facet | Geometry. Noncommutative algebras. Géométrie. Algèbres non commutatives. geometry. MATHEMATICS Geometry General. Geometry Noncommutative algebras |
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