Noncommutative Geometry : : A Functorial Approach / / Igor V. Nikolaev.

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. This book covers the key concepts of noncommutative geometry and its applications in topology, algebraic geometry, and number theory. Our presentation is accessible to the graduate st...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
VerfasserIn:
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2022]
©2022
Year of Publication:2022
Edition:This is the revised second edition.
Language:English
Series:De Gruyter Studies in Mathematics , 66
Online Access:
Physical Description:1 online resource (XX, 380 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 04602nam a22008895i 4500
001 9783110788709
003 DE-B1597
005 20230502090707.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 230502t20222022gw fo d z eng d
010 |a 2022936127 
020 |a 9783110788709 
024 7 |a 10.1515/9783110788709  |2 doi 
035 |a (DE-B1597)619051 
035 |a (OCoLC)1338021554 
040 |a DE-B1597  |b eng  |c DE-B1597  |e rda 
041 0 |a eng 
044 |a gw  |c DE 
050 4 |a QC20.7.G44  |b N55 2022eb 
072 7 |a MAT002000  |2 bisacsh 
082 0 4 |a 516.3/5  |2 23 
100 1 |a Nikolaev, Igor V.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Noncommutative Geometry :  |b A Functorial Approach /  |c Igor V. Nikolaev. 
250 |a This is the revised second edition. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2022] 
264 4 |c ©2022 
300 |a 1 online resource (XX, 380 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 66 
505 0 0 |t Frontmatter --   |t Foreword --   |t Foreword to the second edition --   |t Introduction --   |t Contents --   |t Part I: Basics --   |t 1 Model examples --   |t 2 Categories and functors --   |t 3 C∗-algebras --   |t Part II: Noncommutative invariants --   |t 4 Topology --   |t 5 Algebraic geometry --   |t 6 Number theory --   |t 7 Arithmetic topology --   |t 8 Quantum arithmetic --   |t Part III: Brief survey of NCG --   |t 9 Finite geometries --   |t 10 Continuous geometries --   |t 11 Connes geometries --   |t 12 Index Theory --   |t 13 Jones polynomials --   |t 14 Quantum groups --   |t 15 Noncommutative algebraic geometry --   |t 16 Trends in noncommutative geometry --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. This book covers the key concepts of noncommutative geometry and its applications in topology, algebraic geometry, and number theory. Our presentation is accessible to the graduate students as well as nonexperts in the field. The second edition includes two new chapters on arithmetic topology and quantum arithmetic. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) 
650 0 |a Geometry, Algebraic. 
650 0 |a Noncommutative differential geometry. 
650 0 |a Number theory. 
650 4 |a Algebraische Geometrie. 
650 4 |a Funktor. 
650 4 |a Indextheorie. 
650 4 |a Nichtkommutative Geometrie. 
650 4 |a Zahlentheorie. 
650 7 |a MATHEMATICS / Algebra / General.  |2 bisacsh 
653 |a Algebraic geometry, number theory, continuous geometries, topology, noncommutative algebraic geometry, quantum Arithmetic. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t DG Plus DeG Package 2022 Part 1  |z 9783110766820 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE COMPLETE 2022 English  |z 9783110993899 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE COMPLETE 2022  |z 9783110994810  |o ZDB-23-DGG 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE Mathematics 2022 English  |z 9783110993868 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE Mathematics 2022  |z 9783110770445  |o ZDB-23-DMA 
776 0 |c EPUB  |z 9783110788815 
776 0 |c print  |z 9783110788600 
856 4 0 |u https://doi.org/10.1515/9783110788709 
856 4 0 |u https://www.degruyter.com/isbn/9783110788709 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9783110788709/original 
912 |a 978-3-11-076682-0 DG Plus DeG Package 2022 Part 1  |b 2022 
912 |a 978-3-11-099386-8 EBOOK PACKAGE Mathematics 2022 English  |b 2022 
912 |a 978-3-11-099389-9 EBOOK PACKAGE COMPLETE 2022 English  |b 2022 
912 |a EBA_CL_MTPY 
912 |a EBA_DGALL 
912 |a EBA_EBKALL 
912 |a EBA_ECL_MTPY 
912 |a EBA_EEBKALL 
912 |a EBA_ESTMALL 
912 |a EBA_STMALL 
912 |a GBV-deGruyter-alles 
912 |a PDA12STME 
912 |a PDA13ENGE 
912 |a PDA18STMEE 
912 |a PDA5EBK 
912 |a ZDB-23-DGG  |b 2022 
912 |a ZDB-23-DMA  |b 2022