Enns R.H. Computer Algebra Recipes for Mathematical Physics
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390 INDEX
time of descent, 260
topographical map, 92
trampoline, 149, 182
transcendental equation, 23, 24, 154
transform
Fourier, 222, 230
Fourier cosine, 222, 228
Fourier sine, 222, 225
Hankel, 253
inverse Fourier, 222, 231
inverse Laplace, 235
Laplace, 235
transient, 29
transient envelope, 56
translation, 26
transmission coefficient, 135, 179
transmission line, 141
transverse oscillation, 138
transverse velocity, 149
trial function, 280, 319
tridiagonal matrix, 357
turbulence, 18
turbulent flow, 20
turning points, 278
uncertainty principle, 255
underdamping, 28
Van Allen belts, 275
Van der Pol ODE, 302, 339
transient growth, 335
variable separation, 130, 149
incomplete, 161
variable transformation, 322, 328
variation of parameters, 16
VariationalCalculus package, 257
vector
Cartesian unit, 88
acceleration, 88
basis, 92
displacement, 88
dot product, 87
field, 87, 96
identities, 94
line integral, 104
Maple short-hand, 88
orthonormal, 124
overbar notation, 92
position, 88
scale factors, 98
sum, 87
unit, 107
vector product, 87
velocity, 88
vector field, 102, 106, 127
arrows, 105
conservative, 104
vector potential, 174, 275
VectorCalculus package, 88
velocity, 96
velocity potential, 183, 188
vibrating bar, 153
vibrating beam, 181, 256
vibrating string
energy, 180
equation of motion, 128
piecewise linear density, 135
slope continuity, 136
struck, 238
tapered, 180
whirling, 180
viewing box coordinates, 31
Volterra–Lotka ODEs, 341
vortex, 306
wave equation, 127, 129, 238
2-dimensional, 149
Fourier series, 133
general solution, 129
separating variables, 130
weight function, 168
whirling bar, 56
whirling string, 180
white dwarf stars, 370
Whittaker function, 45
Whittaker ODE, 45
wire, 42
Young’s modulus, 21, 153, 232
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