Artículos relacionados a Elliptic Theory and Noncommutative Geometry: Nonlocal...
Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators: 183 (Operator Theory: Advances and Applications) - Tapa dura
Sinopsis
This comprehensive yet concise book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. This is the first book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators. To make the book self-contained, the authors have included necessary geometric material.
"Sinopsis" puede pertenecer a otra edición de este libro.
De la contraportada
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialBirkhäuser
- Año de publicación2008
- ISBN 10 3764387742
- ISBN 13 9783764387747
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas240
- Contacto del fabricanteno disponible
Comprar nuevo
Ver este artículo
EUR 34,45
GRATIS gastos de envío desde Estados Unidos de America a España
Destinos, gastos y plazos de envíoResultados de la búsqueda para Elliptic Theory and Noncommutative Geometry: Nonlocal...
Imagen de archivo
Elliptic Theory And Noncommutative Geometry (Hb)
Librería: Romtrade Corp., STERLING HEIGHTS, MI, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Nº de ref. del artículo: ABNR-73873
Cantidad disponible: 5 disponibles
Imagen de archivo
Elliptic Theory And Noncommutative Geometry (Hb)
Librería: Basi6 International, Irving, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Nº de ref. del artículo: ABEJUNE24-273597
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Elliptic Theory And Noncommutative Geometry: Nonlocal Elliptic Operators (Operator Theory: Advances And Applications / Advances In Partial Differential Equations)
Librería: Romtrade Corp., STERLING HEIGHTS, MI, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Nº de ref. del artículo: ABNR-261283
Cantidad disponible: 1 disponibles
Imagen de archivo
Elliptic Theory And Noncommutative Geometry
Librería: Romtrade Corp., STERLING HEIGHTS, MI, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Nº de ref. del artículo: ABNR-144317
Cantidad disponible: 1 disponibles
Imagen de archivo
ELLIPTIC THEORY AND NONCOMMUTATIVE GEOMETRY: NONLOCAL ELLIPTIC OPERATORS (OPERATOR THEORY: ADVANCES AND APPLICATIONS / ADVANCES IN PARTIAL DIFFERENTIAL EQUATIONS)
Librería: Basi6 International, Irving, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Nº de ref. del artículo: ABEJUNE24-273598
Cantidad disponible: 1 disponibles
Imagen de archivo
Elliptic Theory And Noncommutative Geometry
Librería: Basi6 International, Irving, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Nº de ref. del artículo: ABEJUNE24-273599
Cantidad disponible: 1 disponibles
Imagen del vendedor
Elliptic Theory and Noncommutative Geometry
Publicado por
Springer, Basel, Birkhäuser Basel, Birkhäuser Mai 2008, 2008
ISBN 10: 3764387742
ISBN 13: 9783764387747
Nuevo
Tapa dura
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Noncommutative geometry, which can rightfully claim the role of a philosophy in mathematicalstudies,undertakesto replacegoodoldnotionsofclassicalgeometry (suchas manifolds,vectorbundles, metrics, di erentiable structures,etc. ) by their abstract operator-algebraic analogs and then to study the latter by methods of the theory of operator algebras. At rst sight, this pursuit of maximum possible generality harbors the danger of completely forgetting the classical beginnings, so that not only the answers but also the questions would defy stating in traditional terms. Noncommutative geometry itself would become not only a method but also the main subject of investigation according to the capacious but not too practical formula: 'Know thyself. ' Fortunately, this is not completely true (or even is completely untrue) in reality: there are numerous problems that are quite classical in their statement (or at least admit an equivalent classical statement) but can be solved only in the framework of noncommutative geometry. One of such problems is the subject of the present book. The classical elliptic theory developed in the well-known work of Atiyah and Singer on the index problem relates an analytic invariant of an elliptic pseud- i erential operator on a smooth compact manifold, namely, its index, to topol- ical invariants of the manifold itself. The index problem for nonlocal (and hence nonpseudodi erential) elliptic operators is much more complicated and requires the use of substantially more powerful methods than those used in the classical case. 224 pp. Englisch. Nº de ref. del artículo: 9783764387747
Cantidad disponible: 2 disponibles
Imagen del vendedor
Elliptic Theory and Noncommutative Geometry : Nonlocal Elliptic Operators
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Noncommutative geometry, which can rightfully claim the role of a philosophy in mathematicalstudies,undertakesto replacegoodoldnotionsofclassicalgeometry (suchas manifolds,vectorbundles, metrics, di erentiable structures,etc. ) by their abstract operator-algebraic analogs and then to study the latter by methods of the theory of operator algebras. At rst sight, this pursuit of maximum possible generality harbors the danger of completely forgetting the classical beginnings, so that not only the answers but also the questions would defy stating in traditional terms. Noncommutative geometry itself would become not only a method but also the main subject of investigation according to the capacious but not too practical formula: 'Know thyself. ' Fortunately, this is not completely true (or even is completely untrue) in reality: there are numerous problems that are quite classical in their statement (or at least admit an equivalent classical statement) but can be solved only in the framework of noncommutative geometry. One of such problems is the subject of the present book. The classical elliptic theory developed in the well-known work of Atiyah and Singer on the index problem relates an analytic invariant of an elliptic pseud- i erential operator on a smooth compact manifold, namely, its index, to topol- ical invariants of the manifold itself. The index problem for nonlocal (and hence nonpseudodi erential) elliptic operators is much more complicated and requires the use of substantially more powerful methods than those used in the classical case. Nº de ref. del artículo: 9783764387747
Cantidad disponible: 1 disponibles
Imagen de archivo
Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators (Operator Theory: Advances and Applications, 183)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. In. Nº de ref. del artículo: ria9783764387747_new
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators (Operator Theory: Advances and Applications, 183)
Librería: California Books, Miami, FL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: I-9783764387747
Cantidad disponible: Más de 20 disponibles