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E-book
Author Nikolaev, Igor V

Title Noncommutative geometry : a functional approach / Igor V. Nikolaev
Published Berlin : De Gruyter, 2017

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Description 1 online resource
Series De Gruyter studies in mathematics ; 66
De Gruyter studies in mathematics ; 66.
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
Summary 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
Bibliography Includes bibliographical references
Notes Print version record
Subject Geometry.
Noncommutative algebras.
geometry.
MATHEMATICS -- Geometry -- General.
Geometry
Noncommutative algebras
Form Electronic book
ISBN 311054525X
9783110545258
9783110543483
3110543486