Partial Differential Equations 1: Foundations and Integral Representations (Universitext) Foundations and Integral Representations

Sauvigny, Friedrich:

ISBN 10: 1447129806 / ISBN 13: 9781447129806

Verlag: Springer 03.2012., 2012

464 Seiten 9781447129806 Wir verkaufen nur, was wir auch selbst lesen würden. Sprache: Deutsch Gewicht in Gramm: 700. Bestandsnummer des Verkäufers 88017

Inhaltsangabe:

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.

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.

Von der hinteren Coverseite:

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.

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.

Bibliografische Details

Titel: Partial Differential Equations 1: ...
Verlag: Springer 03.2012.
Erscheinungsdatum: 2012
Einband: paperback
Zustand: Sehr gut
Auflage: Auflage: 2nd ed. 2012.