Elements of Partial Differential Equations

Pavel Drábek; Gabriela Holubová

Published by De Gruyter 2007

Elements of Partial Differential Equations

Pavel Drábek and Gabriela Holubová

In the series De Gruyter Textbook

https://doi.org/10.1515/9783110191240

Overview
Contents

About this book

This textbook presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite.

An elementary introduction to the basic principles of partial differential equations.
With many illustrations.
The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.

Author / Editor information

Pavel Drábek and Gabriela Holubová, University of West Bohemia, Czech Republic.

Reviews

"This is an excellent book providing a first introduction to differential equations on an elementary level."
Dian K. Palagachev in: Zentralblatt MATH 1170

"The book contains 250 exercises demonstrating the main goal of this book, namely introduce students of mathematics, physics and engineering to partial differential equations as one of the main tools of mathematical modelling. It can be highly recommended for this purpose."
(jmil) in: EMS Newsletter 09/2007

"The well-structured text is complemted by numerous illustrations, examples and exercices."
L'Enseignement Mathématique 1-2/2007

"I think the book is an outstanding pedagogical achievement, worthy of serious consideration as a textbook for any course in methods of applied mathematics or even a course specifically in PDE."
Michael Berg, MAA Reviews

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	I
Contents Requires Authentication Unlicensed Licensed Download PDF	VII
Mathematical Models, Conservation and Constitutive Laws Requires Authentication Unlicensed Licensed Download PDF	1
Classification, Types of Equations, Boundary and Initial Conditions Requires Authentication Unlicensed Licensed Download PDF	9
Linear Partial Differential Equations of the First Order Requires Authentication Unlicensed Licensed Download PDF	21
Wave Equation in One Spatial Variable–Cauchy Problem in R Requires Authentication Unlicensed Licensed Download PDF	37
Diffusion Equation in One Spatial Variable–Cauchy Problem in ℝ Requires Authentication Unlicensed Licensed Download PDF	57
Laplace and Poisson Equations in Two Dimensions Requires Authentication Unlicensed Licensed Download PDF	71
Solutions of Initial Boundary Value Problems for Evolution Equations Requires Authentication Unlicensed Licensed Download PDF	78
Solutions of Boundary Value Problems for Stationary Equations Requires Authentication Unlicensed Licensed Download PDF	113
Methods of Integral Transforms Requires Authentication Unlicensed Licensed Download PDF	123
General Principles Requires Authentication Unlicensed Licensed Download PDF	139
Laplace and Poisson equations in Higher Dimensions Requires Authentication Unlicensed Licensed Download PDF	157
Diffusion Equation in Higher Dimensions Requires Authentication Unlicensed Licensed Download PDF	178
Wave Equation in Higher Dimensions Requires Authentication Unlicensed Licensed Download PDF	195
Appendix Requires Authentication Unlicensed Licensed Download PDF	228
Some Typical Problems Considered in This Book Requires Authentication Unlicensed Licensed Download PDF	235
Notation Requires Authentication Unlicensed Licensed Download PDF	237
Bibliography Requires Authentication Unlicensed Licensed Download PDF	239
Index Requires Authentication Unlicensed Licensed Download PDF	241

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Students of Mathematics, Physics, and Engineering; Academic Libraries
Pages
- Front matter: 9
- Main content: 245
Keywords: Partial differential equation; diffusion equation; wave equation; Laplace equation

eBook

Published: July 16, 2008
ISBN: 9783110206753

Hardcover

Published: February 19, 2007
ISBN: 9783110191240