Green's functions with applications
About the Previous Edition"Roughly speaking, Green's functions constitute infinitesimal matrix coefficients that one can use to solve linear nonhomogeneous differential equations in an approach alternative to that which depends on eigenvalue analysis. These techniques receive a mention in many books on differential equations. Duffy goes much further toward exposing the detailed workings of important examples (wave equation, heat equation, Hemholtz equation on various domains). Many plots help t…
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- Full title :Green's functions with applications / Dean G. Duffy.
Summary
About the Previous Edition"Roughly speaking, Green's functions constitute infinitesimal matrix coefficients that one can use to solve linear nonhomogeneous differential equations in an approach alternative to that which depends on eigenvalue analysis. These techniques receive a mention in many books on differential equations. Duffy goes much further toward exposing the detailed workings of important examples (wave equation, heat equation, Hemholtz equation on various domains). Many plots help the reader picture the behavior of these functions. a valuable sourcebook."-CHOICE Magazine, March 2002.
Read More ↓Edition Statements
- Publication Date:2016.
- Edition:Second edition
Publication Statements
- Publisher(s):CRC Press
- Place of Publication:Boca Raton, Florida
- Language:eng
- Publication Date:2016.
The Physical Object
- Description:1 online resource (685 pages).
Edition Identifiers
- ISBN:9781498798549, 1498798543, 9781315371412, 1315371413, 9781482251036, 1482251035, 9781482251029, 1482251027
- oclc:on1026975753
- LC Classification:QC174.17.G68 ǂb .D844 2015eb
- Dewey Decimal:515.35
Table of Contents
Front Cover -- Dedication -- Contents -- Acknowledgments -- Author -- Preface -- List of Definitions -- Chapter 1: Historical Development -- Chapter 2: Background Material -- Chapter 3: Green's Functions for Ordinary Differential Equations -- Chapter 4: Green's Functions for the Wave Equation -- Chapter 5: Green's Functions for the Heat Equation -- Chapter 6: Green's Functions for the Helmholtz Equation -- Chapter 7: Numerical Methods -- Appendix: Relationship Between Solutions of Helmholtz's and Laplace's Equations in Cylindrical and Spherical Coordinates -- Answers to Some of the Problems.
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