Page 442 - Schaum's Outline of Theory and Problems of Advanced Calculus

INDEX 433

Vectors (Cont.): Vectors (Cont.): Weierstrass M test:
complex numbers as, 20 unit, 152, 153, 342 for integrals, 313, 324–329
components of, 153 Vector triple product, 155, 169–171 for series, 270, 289
curvilinear coordinates and, 161, Velocity, 74, 177 Wilson, E.B., 150
162 of light, 181 Work, as a line integral, 239
equality of, 150 potential, 402
infinite dimensional, 342 Vibrating string, equation of, 361
Jacobians interpreted in terms of, Volume, 100 x-axis, 116
160 element of, 161, 162, 175
length or magnitude of, 150 of parallelepiped, 161, 169
normalized, 342 Volume of revolution: z-axis, 116
null, 151 disk method, 100 intercept, 126
position, 153 shell method, 101 Zeno of Elea, 265
radius, 153 Zero, 1
resultant or sum of, 151, 163 division by, 8
scalar product, 153 Wallis’ product, 359 measure, 91, 103
tangent, 157, 177, 179 Wave equation, 361 vector, 151