| 580 MATHEMATICS FOR ENGINEERS AND PHYS1CISTS |
| Flow, of electricity in a cable, 386 of heat, 256, 368-377, 423, 425 seepage, 483 |
| Fluid motion, 220, 424, 428, 475-478, 480—484 Flux, 416 |
| Flux density, magnetic, 52 Force, 217, 239, 392, 406, 409 components of, 217 conservative field of, 219 electrostatic, 487 Force function, 411 Forced vibrations, 308, 310 Formula, asymptotic, 509 Cauchy’s intégral, 461 empirical, 525-560 interpolation, 550 Lagrange’s, 552 Poisson, 512 Stirling’s, 508 Wallis’s, 45 Founer coefficients, 65 Fourier équation, 425 Fourier sériés, 63-82 complex form of, 78 différentiation of, 80 expansion in, 65-82 intégration of, 80 solution of équations with, 364 Functional dependence, 2 Functional déterminant, 183 Functions, 1 analytic, 451 Bessel, 336 Beta, 276 |
| complementary, 290 conjugate, 468, 470 continuous, 23, 448 elementary, 315 expansion of, 35, 65, 155 Gamma, 272-277 holomorphic, 451 homogeneous, 136, 259 hyperbolic, 247-256 of a complex variable, 444-491 of several variables, 123, 160 orthogonal, 81, 339, 345 periodic, 64 |
| Functions, potential, 219, 411 power, 30 real, 2, 123 regular, 451 scalar point, 406 singularities of, 222 stream, 221, 432, 453, 'toi vector point, 406 |
| Fundamcntal principlc, of combina-tory analysis, 493 of sequences, 6 |
| Fundamental theorem, of algebra, 92 of intégral calculus, 172, 457 |
| G |
| Gamma functions, 272-277 Gauss-Argand diagram, 440 Gaussian law of error, 520, 536 Gauss’s theorem, 193 General solution of differential équation, 230, 290, 292, 350, 358 Geomctnc sériés, 9 Gradient, V, 144, 152, 407, 410, 438 Graphical method, of curve fitting, 525 |
| of solution of équations, 83 Gravitational constant, 232 Gravitational law (see Attraction) Gravitational potential, 219, 408 Gravity, center of, 177, 182, 183, 187, 190, 191, 196, 522 Gravity dam, 483 |
| Green’s theorem, for the plane, 202 in space, 191, 418 symmetric form of, 194, 418 |
| H |
| Harmonie analysis, 545 Harmonie sériés, 8 Heat conduction, 367 Heat flow, 368-377 équation of, 368, 425 steady, 256, 368, 427 variable, 368, 373, 425 Hélix, 151, 152 Holomorphic functions, 451 |