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In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations. The following topics are treated:
¿ integration and differentiation on manifolds
¿ foundations of functional analysis
¿ Brouwer's mapping degree
¿ generalized analytic functions
¿ potential theory and spherical harmonics
¿ linear partial differential equations
This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy¿s integral has been added.
The second volume will present functional analytic methods and applications to problems in differential geometry.
This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.
In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations. The following topics are treated:
¿ integration and differentiation on manifolds
¿ foundations of functional analysis
¿ Brouwer's mapping degree
¿ generalized analytic functions
¿ potential theory and spherical harmonics
¿ linear partial differential equations
This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy¿s integral has been added.
The second volume will present functional analytic methods and applications to problems in differential geometry.
This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.
Provides a complete and thorough introduction into the theory of linear and nonlinear partial differential equations
Presents interesting applications to physics and differential geometry
Includes the basic methods from linear and nonlinear functional analysis
Includes supplementary material: [...]
Differentiation and Integration on Manifolds.- Foundations of Functional Analysis.- Brouwer's Degree of Mapping.- Generalized Analytic Functions.- Potential Theory and Spherical Harmonics.- Linear Partial Differential Equations inRn.
| Erscheinungsjahr: | 2012 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xv
447 S. 16 s/w Illustr. 447 p. 16 illus. |
| ISBN-13: | 9781447129806 |
| ISBN-10: | 1447129806 |
| Sprache: | Englisch |
| Herstellernummer: | 86058622 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Sauvigny, Friedrich |
| Auflage: | 2nd edition 2012 |
| Hersteller: |
Springer London
Springer-Verlag London Ltd. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 25 mm |
| Von/Mit: | Friedrich Sauvigny |
| Erscheinungsdatum: | 30.03.2012 |
| Gewicht: | 0,698 kg |
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