Green's Functions with Applications
Editorial Reviews
Review
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
Book Description
Since its introduction in 1828, Green's functions have become a fundamental mathematical technique for solving boundary-value problems. This book systematically presents the various methods of deriving these useful functions. It leads readers through the process of developing Green's functions for ordinary and partial differential equations. In addition to exploring the classical problems, the book includes special sections on leaky modes, water waves, and absolute/convective instability. With a wealth of examples and problems, it provides a treasure-trove of methods to construct and compute Green's functions.
Green's Functions with Applications
Green's Functions with Applications,Dean G. Duffy,Chapman & Hall/CRC,1584881100,Applied,Differential Equations,Engineering - Electrical & Electronic,Functional Analysis,Green's functions,Mathematics,Science/Mathematics,Applied mathematics,Mathematics / Applied
Books Review:
Recommended Books