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181019 ||| eng |
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|a 978-3-11-054317-9
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| 100 |
1 |
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|a Nikolaev, Igor V.
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| 245 |
0 |
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|a Noncommutative geometry
|h Elektronische Ressource
|b a functorial approach
|c Igor V. Nikolaev
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| 260 |
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|a Berlin ; Boston
|b De Gruyter
|c 2017, ©2018
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| 300 |
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|a XIII, 263 Seiten
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| 505 |
0 |
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|a Part I: Basics -- Model examples -- Categories and functors -- C∗-algebras -- Part II: Noncommutative invariants -- Topology -- Algebraic geometry -- Number theory -- Part III: 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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| 653 |
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|a Funktor
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| 653 |
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|a Mathematics / Algebra and Number Theory
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| 653 |
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|a Nichtkommutative Geometrie
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| 653 |
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|a Mathematics / Geometry and Topology
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| 653 |
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|a Mathematik / Geometrie und Topologie
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| 653 |
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|a Zahlentheorie
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| 653 |
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|a Mathematik / Algebra und Zahlentheorie
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| 653 |
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|a Indextheorie
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| 653 |
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|a Algebraische Geometrie
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 490 |
0 |
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|a De Gruyter studies in mathematics
|x 0179-0986
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| 028 |
5 |
0 |
|a 10.1515/9783110545258
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| 776 |
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|z 978-3-11-054348-3
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| 776 |
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|z 978-3-11-054525-8
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| 856 |
4 |
0 |
|u https://www.degruyter.com/doi/book/10.1515/9783110545258
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 510
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| 520 |
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|a 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.
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