Drábek / Holubová Elements of Partial Differential Equations

1. Auflage 2008
ISBN: 978-3-11-020675-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 254 Seiten, Gewicht: 10 g

Reihe: De Gruyter Textbook

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.

Zielgruppe

Students of Mathematics, Physics, and Engineering; Academic Libra

Autoren/Hrsg.

Drábek, Pavel

Holubová, Gabriela

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

Frontmatter
Contents
Mathematical Models, Conservation and Constitutive Laws
Classification, Types of Equations, Boundary and Initial Conditions
Linear Partial Differential Equations of the First Order
Wave Equation in One Spatial Variable–Cauchy Problem in R
Diffusion Equation in One Spatial Variable–Cauchy Problem in R
Laplace and Poisson Equations in Two Dimensions
Solutions of Initial Boundary Value Problems for Evolution Equations
Solutions of Boundary Value Problems for Stationary Equations
Methods of Integral Transforms
General Principles
Laplace and Poisson equations in Higher Dimensions
Diffusion Equation in Higher Dimensions
Wave Equation in Higher Dimensions
Appendix
Some Typical Problems Considered in This Book
Notation
Bibliography
Index

Über Autor(innen)

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