Elements of partial differential equations

Drábek, Pavel; Holubová, Gabriela

Tytuł pełny:: Elements of partial differential equations / Pavel Drábek, Gabriela Holubová
Autorzy:: Drábek, Pavel (1953- )
Holubová, Gabriela (1974- )
Współtwórcy:: Walter de Gruyter und Co. Wydawca
Wydawca:: Berlin ; Boston : Walter De Gruyter
Rok wydania:: [2008]
Seria:: De Gruyter Textbook
Zawartość serii:: De Gruyter Textbook
ISBN:: 9783110206753
Zawartość:: 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
Cechy pliku:: Dane tekstowe
Wymagania systemowe:: Tryb dostępu: Internet
Temat:: Książki elektroniczne.
Równania różniczkowe cząstkowe.
: Dokument elektroniczny

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505	0	#	%t Frontmatter -- %t Contents -- %t Mathematical Models, Conservation and Constitutive Laws -- %t Classification, Types of Equations, Boundary and Initial Conditions -- %t Linear Partial Differential Equations of the First Order -- %t Wave Equation in One Spatial Variable–Cauchy Problem in R -- %t Diffusion Equation in One Spatial Variable–Cauchy Problem in ℝ -- %t Laplace and Poisson Equations in Two Dimensions -- %t Solutions of Initial Boundary Value Problems for Evolution Equations -- %t Solutions of Boundary Value Problems for Stationary Equations -- %t Methods of Integral Transforms -- %t General Principles -- %t Laplace and Poisson equations in Higher Dimensions -- %t Diffusion Equation in Higher Dimensions -- %t Wave Equation in Higher Dimensions -- %t Appendix -- %t Some Typical Problems Considered in This Book -- %t Notation -- %t Bibliography -- %t Index
520	8		%a This book 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 learns 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.
538			%a Tryb dostępu: Internet.
650		#	%a Książki elektroniczne.
650		#	%a Równania różniczkowe cząstkowe.
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710	2	#	%a Walter de Gruyter und Co. %4 pbl
830		0	%a De Gruyter Textbook
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920			%a 978-3-11-020675-3

This book 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 learns 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.

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Elements of partial differential equations

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