UID:
almahu_9949462247702882
Format:
1 online resource (245 p.)
ISBN:
9783110206753
,
9783110238570
Series Statement:
De Gruyter Textbook
Content:
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.
Note:
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
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008, De Gruyter, 9783110212129
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008, De Gruyter, 9783110212136
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008, De Gruyter, 9783110209082
Additional Edition:
ISBN 9783110191240
Language:
English
DOI:
10.1515/9783110191240
URL:
https://doi.org/10.1515/9783110191240
URL:
https://www.degruyter.com/isbn/9783110206753
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