Partial Differential Equations through Examples and Exercises

✍ Scribed by Endre Pap, Arpad Takaci, Djurdjica Takaci

Publisher: Springer
Year: 2012
Tongue: English
Leaves: 415
Series: Texts in the Mathematical Sciences (closed)
Edition: Softcover reprint of the original 1st ed. 1997
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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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