Partial Differential Equations through Examples and Exercises
By: by Endre Pap, Arpad Takači, Djurdjica Takači
Contributors: Takači, Arpad; Takači, Djurdjica
Series: Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series -- 18; Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series -- 18
Publisher: Springer Netherlands
Published: 1997
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 404
ISBN-13: 9789401063494; 9789401155748
Subjects: Functional analysis; Mathematics; Differential equations, partial; Operator theory; Computer science
Description: This book examines the complicated subject of Partial Differential Equations (PDEs). It involves the reader throughout by presenting theory, examples and exercises together. Both the classical and abstract aspects of the theory are dealt with, so that, for example, classical and generalised solutions in Sobolev and distribution spaces are treated. Most of the work is devoted to second or higher order PDEs; part of the distribution theory is included, covering Dirac's delta distribution delta function. Many practical tools are offered for solving important problems with the basic three PDEs, namely the wave equation, the Laplace equation, the heat equation and their generalisations. The majority of the problems are mathematical in character, though often physical interpretations are given. Audience: This volume is intended for undergraduate and graduate students in mathematics, physics technology and economics interested in PDEs for modelling complex systems.
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