Elliptic Theory and Noncommutative Geometry
Language: English
Published by Birkhauser Verlag AG, 2008
Series: Book 28 of 132 - Operator Theory: Advances and Applications
- Hardcover
- New
Seller: Kennys Bookstore, Olney, MD, U.S.A.Kennys Bookstore
AbeBooks seller since October 9, 2009
Condition: New
£ 141.99
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Add to basketItem description from seller
Elliptic Theory and Noncommutative Geometry Series: Operator Theory: Advances and Applications. Num Pages: 236 pages, biography. BIC Classification: PBM. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 14. Weight in Grams: 514. . 2008. Hardback. . . . . Books ship from the US and Ireland.
Seller Inventory # V9783764387747
- Title
- Elliptic Theory and Noncommutative Geometry
- Author
- Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu.
- Publisher
- Birkhauser Verlag AG
- Publication year
- 2008
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3764387742
- ISBN 13
- 9783764387747
- Series
- Book 28 of 132: Operator Theory: Advances and Applications
"Synopsis" may belong to another edition of this title.
From the Back Cover
This comprehensive yet concise book deals with nonlocal elliptic differential operators, whose coefficients involve shifts generated by diffeomorophisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such elliptic operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry.
This is the first and so far the only book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators. Although the book provides important results, which are in a sense definitive, on the above-mentioned topic, it contains all the necessary preliminary material, such as C*-algebras and their K-theory or cyclic homology. Thus the material is accessible for undergraduate students of mathematics (third year and beyond). It is also undoubtedly of interest for post-graduate students and scientists specializing in geometry, the theory of differential equations, functional analysis, etc.
The book can serve as a good introduction to noncommutative geometry, which is one of the most powerful modern tools for studying a wide range of problems in mathematics and theoretical physics.
"About the title" may belong to another edition of this title.
Kennys Bookstore
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