
Noncommutative Geometry
A Functorial Approach
Igor V. Nikolaev(Author)
De Gruyter (Publisher)
1st Edition
Published on 7. November 2017
Book
Hardback
XIII, 263 pages
978-3-11-054317-9 (ISBN)
Article exhausted; check for reprint
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
Reviews / Votes
"The book is a good survey of noncommutative geometry, and is an excellent starting point for doing good research in the field. Each section of the book ends with a list of references for going deeply into each subject, and so this book gives a framework for the field of noncommutative geometry." Arvid Siqveland in: Zentralblatt für Mathematik 1388, 1-2 "In any case, it is true with a vengeance that NCG is a big and important subject, and the book we are looking at here, with its subtitle of "A functorial approach" is doubtless a very valuable contribution on any number of counts, not the least of which being that the more functorial we get, the more generality we reap, and the clearer the overarching structure becomes. [...] In point of fact, the book under review is the first book on NCG to take a functorial approach as its Leitmotiv, and that is in itself a very solid contribution, pedagogically and mathematically." Michael Berg in: MAA Reviews (27.07.2018), https://www.maa.org/press/maa-reviews/noncommutative-geometry-a-functorial-approachMore details
Series
Language
English
Place of publication
Berlin/Boston
Germany
Target group
Professional and scholarly
US School Grade: College Graduate Student
Illustrations
40 s/w Abbildungen, 2 s/w Tabellen
40 b/w ill., 2 b/w tbl.
Dimensions
Height: 24 cm
Width: 17 cm
Weight
607 gr
ISBN-13
978-3-11-054317-9 (9783110543179)
Schweitzer Classification
Other editions
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Book
07/2022
2nd Edition
De Gruyter
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Additional editions

E-Book
11/2017
1st Edition
De Gruyter
€114.95
Available for download

E-Book
11/2017
1st Edition
De Gruyter
€114.95
Available for download
Person
Igor V. Nikolaev, St. John's University, USA.