Index
acceleration formulas, 55, 57
adsorbed, 3
Alexandrov's theorem, 27, 119
analytic, 44
analytic continuation, 100
angstrom, 4
arctan, 209
area-minimizing surface, 67, 71, 199
associated family, 210
astroid, 223
basis, 33
bat, 218
bending energy, 147
Bernstein's theorem, 95
Bjorling's problem, 96, 221
brachistochrone, 124, 137, 236
bubbles, 8, 153
capillarity, 166, 172
capillary tube, 26
Catalan's surface, 67, 82, 103, 197, 214,
222
Catalan's theorem, 66
catenary, 36, 55, 71, 125, 149, 178,
182, 183, 233
catenoid, 11, 36, 55, 60, 72, 82, 86,
105, 142, 179, 181, 185, 193, 222
Cauchy's theorem, 47
Cauchy-Riemann equations, 45
complex conjugate, 40, 45
complex numbers, 43
conformal, 87, 88, 92
constant mean curvature, 118, 256
constrained problem, 146, 147, 230
contact angle, 23, 166, 172
cycloid, 103, 139, 140
cylinder, 203
Delaunay surfaces (see surface of De-
launay), 153
Dirichlet integral, 144
disk-like minimal surface, 68
divergence theorem, 107
dotprod, 161, 175
double bubble theorem, 30, 115
dsolve, 225
energy minimization, 13
Enneper's surface, 36, 66, 83, 113, 199
Euler-Lagrange equations, 130-132, 225
extremals, 130
extremize, 124
Fermat's principle, 139
first fundamental form, 39
first integral, 134, 227
first principle of soap films, 14
fixed endpoint problem, 124
fsolve, 182
Fundamental Theorem of Calculus, 48
funnel, 8
fused bubbles, 21, 159, 163
Gauss curvature, 50, 52, 85, 176
Gauss map, 86, 89, 204
geographical coordinates, 35
gravitational constant, 24
Green's theorem, 47, 69, 73, 126, 132,
151
harmonic conjugate, 47
265
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