Index
A
acoustic vibrations, 235
aluminum nitride, oxygen removal
from, 156
antenna vibrations, 226
approximation by Fourier series, 91–94
arbitrary periods, 64–65
B
bad discontinuities, 74–75, 79
band-limited functions, 121–123
bars, insulated, 157–161.See alsoheat
conduction problems
beam vibrations, 225
Bessel functions, integrals of, 440
Bessel inequality, 92–93
boundary conditions.See alsoinitial
value–boundary value problems
of the first kind.See entries at
Dirichlet
limitations of product method,
281–282
mixed, 139
potential equation.Seepotential
equation
of the second kind.See entries at
Neumann
of the third kind, 139
wave equation, 217–220, 229
boundary value problems, 26–34.See
alsoinitial value–boundary value
problems
Fourier series applications with,
119–120
Green’s functions, 23, 43–49
potential equation, 256–257
singular, 38–41
boundedness, 40–41
Boussinesq equation, 211
Brownian motion, 204
buckling of a column, 32–34
Burger’s equation, 209
C
cable, hanging, 26–29
calculus, 436–438
cantilevered beam, 226
car antenna vibrations, 226
catenaries, 35
Cauchy–Euler equation, 6–7, 38, 277
Cesaro summability, 131
chain rule, 232495