TY  - BOOK
AU  - Nikolaev,Igor V.
TI  - Noncommutative geometry: a functorial approach 
T2  - De Gruyter studies in mathematics
SN  - 9783110543179
U1  - 516 23
PY  - 2017///
CY  - Berlin
PB  - De Gruyter, 
KW  - Noncommutative differential geometry
KW  - Algebraic geometry
KW  - Number theory
N1  - Includes bibliographical references and index; Introduction --
 Part I: Basics --
 1. Model examples --
 2. Categories and functors --
 3. C∗-algebras --
Part II: Noncommutative invariants --
4. Topology --
5. Algebraic geometry --
6. Number theory --
Part III: Brief survey of NCG --
7. Finite geometries --
8. Continuous geometries --
9. Connes geometries --
10. Index theory --
11. Jones polynomials --
12. Quantum groups --
13. Noncommutative algebraic geometry --
14. Trends in noncommutative geometry
N2  - The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer.
ER  -