INDEX

587

Variation, of parameters, 318, 323 Vector analysis, 392-439 Vector équation of line, 395 Vector field, 406, 408, 409, 412, 418, 423

Vector point function, 406 Vector product, 400 applications of, 404 Vector relationships, 402 Vectors, 144, 152, 392 addition of, 393 base, 396 curl of, 418 décomposition of, 396 divergence of, 411 magnitude of, 393 multiplication of, 399 ongin of, 393 orthogonal, 398 radius, 195 unit, 394, 397 zéro, 393

Velocity, 404, 424

angular, 61, 191, 236, 404, 424 cntical, 61

of earth’s rotation, 61 of escape, 61 terminal, 59, 254

Velocity potential, 221, 222, 277, 430, 432, 453, 467, 480 Vibration, forced, 308, 310 of elastic rod, 366, 367 of membrane, 377 of spring, 308 of string, 361

(See also Simple harmonie motion)

Viscous damping, 302, 366 Volume, as a triple intégral, 180 clement of, 185, 187, 190, 437 Volume intégral, 180, 415

W

Walhs’s formula, 45 Wave équation, 432 Wcdge, 473 Weierstrass test, 27 Work, 217, 404 Wronskian, 317

Z

Zéro vector, 393

Zonal harmonies (see Legendre poly-nomials)