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Noncommutative Geometry : A Functorial Approach

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Title: Noncommutative Geometry : A Functorial Approach
Description: 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. ContentsPart I: BasicsModel examplesCategories and functorsC∗-algebrasPart II: Noncommutative invariantsTopologyAlgebraic geometryNumber theoryPart III: Brief survey of NCGFinite geometriesContinuous geometriesConnes geometriesIndex theoryJones polynomialsQuantum groupsNoncommutative algebraic geometryTrends in noncommutative geometry
Authors: Igor V. Nikolaev
Resource Type: eBook.
Subjects: Noncommutative algebras, Geometry
Categories: MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Algebra / Abstract, MATHEMATICS / Geometry / General, MATHEMATICS / Number Theory
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1636966
RelevancyScore: 1077
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1077.00524902344
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  Data: Noncommutative Geometry : A Functorial Approach
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  Data: 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. ContentsPart I: BasicsModel examplesCategories and functorsC∗-algebrasPart II: Noncommutative invariantsTopologyAlgebraic geometryNumber theoryPart III: Brief survey of NCGFinite geometriesContinuous geometriesConnes geometriesIndex theoryJones polynomialsQuantum groupsNoncommutative algebraic geometryTrends in noncommutative geometry
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      – Code: 516
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Noncommutative algebras
        Type: general
      – SubjectFull: Geometry
        Type: general
    Titles:
      – TitleFull: Noncommutative Geometry : A Functorial Approach
        Type: main
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          Name:
            NameFull: Igor V. Nikolaev
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2017
            – D: 23
              M: 03
              Type: profile
              Y: 2018
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              Value: 9783110543179
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              Value: 9783110543483
            – Type: isbn-electronic
              Value: 9783110545258
            – Type: isbn-electronic
              Value: 9783110545265
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              Value: 00066
          Titles:
            – TitleFull: Noncommutative Geometry : A Functorial Approach
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