Partial differential equations - Couverture rigide

Rauch, Jeffrey

Couverture rigide

ISBN 10 : 3540974725 ISBN 13 : 9783540974727

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991

Synopsis

This text is an introduction to the ideas, phenomena and methods of partial differential equations. The material can be handled in one term. It requires no previous knowledge of differential equations, but does assume that the reader is familiar with advanced calculus, real analysis, the rudiments of complex analysis and the language of functional analysis. Topics discussed in the text include elliptic, hyperbolic and parabolic equations, the energy method, maximum principle, and Fourier transformation. The text features historical and scientific references. Exercises, useful hints and discussion notes are incorporated into the course.

A propos du livre

Présentation de l'éditeur

The book intends as an undergraduate text for Partial Differential Equations (PDEs). The topic covered are the method of characteristics for the solution of linear and quasi-linear first order hyperbolic equations and second order linear hyperbolic PDEs. The method of separation of variables for the solution of linear parabolic, elliptic and hyperbolic PDEs as well as the Laplace and Fourier transforms. The book includes an introduction to the finite difference methods for the solution of PDEs and several methods for the solution of a single nonlinear equation.

Biographie de l'auteur

Professor Beny Neta earned his BS (1967) and MS (1971) degrees from Tel Aviv University and PhD from Carnegie-Mellon University in 1977. He is Professor at Naval Postgraduate School (NPS) Department of Applied Mathematics since 1985 and Associate Fellow of AIAA. He is editor and associate editor of several journals.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1991
• ISBN 10: 3540974725
• ISBN 13: 9783540974727
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 273
• Coordonnées du fabricant: non disponible