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Mixed Boundary Value Problems

Dean G. Duffy
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2008
Number of Pages: 
467
Format: 
Hardcover
Series: 
Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series 15
Price: 
99.95
ISBN: 
9781584885795
Category: 
Monograph
We do not plan to review this book.

Overview
Examples of Mixed Boundary Value Problem
Integral Equations
Legendre Polynomials
Bessel Functions
Historical Background
Nobili’s Rings
Disc Capicator
Another Electrostatic Problem
Griffith Cracks
The Boundary Value Problem of Reissner and Sagoci
Steady Rotation of a Circular Disc
Separation of Variables
Dual Fourier Cosine Series
Dual Fourier Sine Series
Dual Fourier–Bessel Series
Dual Fourier–Legendre Series
Triple Fourier Sine Series
Transform Methods
Dual Fourier Integrals
Triple Fourier Integrals
Dual Fourier–Bessel Integrals
Triple and Higher Fourier–Bessel Integrals
Joint Transform Methods
The Wiener–Hopf Technique
The WienerHopf Technique When the Factorization Contains No Branch Points
The WienerHopf Technique When the Factorization Contains Branch Points
Green’s Function
Green’s Function with Mixed Boundary Value Conditions
Integral Representations Involving Green’s Functions
Potential Theory
Conformal Mapping
The Mapping z = w + alog(w)
The Mapping tanh[πz/(2b)] = sn(w, k)
The Mapping z = w + λ√w2 - 1
The Mapping w = ai(z - a)/(z + a)
The Mapping z = 2[w - arctan(w)]/π
The Mapping kw sn(w, kw) = kz sn(Kzz/a, kz)
Index

Dummy View - NOT TO BE DELETED