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| Sokolnikoff I.S. — Higher Mathematics for Engineers and Physicists |
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| Предметный указатель |
Surface, level 406
Surface, normal to 147 407
Surfaces, coordinate 434
Surfaces, Riemann 473
Systems of equations, consistent or inconsistent 117—122
Systems of equations, linear algebraic 107—122
Tangent line 143 147 151
Tangent plane 146—149
tanh 249
Taylor's formula 35—46 158
Taylor's formula, applications of 41—46
Taylor's series 37 464 539
Taylor's series for functions of two variables 155—158 228
Taylor's theorem 36
Tension 239 243 244 251 362 377
Test for alternating series 15
Test for series 9 11 12 15 20 27 31 33
Test, Cauchy's integral 12
Test, comparison 9
Test, ratio 11 20 31
Test, Weierstrass M 27
Theory of least squares 521
Thermodynamics 222
torque 405
Total derivatives 130—143
Total differential 127—143
Trajectories, orthogonal 277—279
Transformation by analytic functions 467
Transformation of element of arc 467
Transformation of integrals 202
Transformation, conformal 467
Transformation, Green's 191 202 418
Transformation, Schwartz 478 485 491
Transformation, Stokes's 421
Trapezoidal rule 556
Trials, repeated and independent 501
Trigonometric functions 78 251 446 447
Trigonometric series 63—82
Triple integrals 177 193
Undetermined coefficients 229
Uniform convergence 23—30
Uniform convergence, test for 27
Unit vectors 394 397
Unity, roots of 87
Variable heat flow 368 373 425
Variable, change of 154 183—188
Variable, complex 440—491
| Variable, dependent 2
Variable, independent 1
Variation of parameters 318 323
Variation, of constants see “Variation of parameters”
Vector analysis 392—439
Vector equation of line 395
Vector field 406 408 409 412 4423
Vector point function 406
Vector product 400
Vector product, applications of 404
Vector relationships 402
Vectors 144 152 392
Vectors, addition of 393
Vectors, base 396
Vectors, curl of 418
Vectors, decomposition of 396
Vectors, divergence of 411
Vectors, magnitude of 393
Vectors, multiplication of 399
Vectors, origin of 393
Vectors, orthogonal 398
Vectors, radius 195
Vectors, unit 394 397
Vectors, zero 393
Velocity 404 424
Velocity of earth's rotation 61
Velocity of escape 61
Velocity potential 221 222 277 430 432 453 467 480
Velocity, angular 61 191 236 404 424
Velocity, critical 61
Velocity, terminal 59 254
Vibration of elastic rod 366 367
Vibration of membrane 377
Vibration of spring 308
Vibration of string 361; see also “Simple harmonic motion”
Vibration, forced 308 310
Viscous damping 302 366
Volume as a triple integral 180
Volume integral 180 415
Volume, element of 185 187 190 437
Wallis's formula 45
Wave equation 432
wedge 473
Weierstrass test 27
Work 217 404
wronskian 317
Zero vector 393
Zonal harmonics see “Legendre polynomials”
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