Résumé
The popularity of this text is based on the fact that the
author explains and develops important parts of the theory
of partial differential equations in a very easily
accessible and yet thorough way. Special emphasis is on
those parts of the theory which are important in physical
applications like the heat equation, the Cauchy problem and
the Laplace (or potential) equation. For the third edition
(1980), this text was thoroughly rewritten and augmented,
particularly in the areas of Fourier transform techniques,
Hilbert space, and finite difference methods. More
information was incorporated on equations of higher
dimensions, and the collections of problems was greatly
expanded. Now, for the fourth edition, the book has again
been updated with an additional chapter on Lewy's example
of linear equations without solution.
Table of contents
- Chapter 1 The Single First-Order Equation
- Chapter 2 Second-Order Equations: Hyperbolic Equations for Functions of Two Independent Variables
- Chapter 3 Characteristic Manifolds and the Cauchy Problem
- Chapter 4 The Laplace Equation
- Chapter 5 Hyperbolic Equations in Higher Dimensions
- Chapter 6 Higher-Order Elliptic Equations with Constant Coefficients
- Chapter 7 Parabolic Equations
- Chapter 8 H. Lewy's Example of a Linear Equation without Solutions
- Bibliography
- Glossary
- IndeX
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Fritz john |
| Parution | 01/01/1992 |
| Édition | 3eme édition |
| Nb. de pages | 250 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 400g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780387906096 |
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