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| Lin C.C., Segel L.A. — Mathematics Applied to Deterministic Problems in the Natural Sciences |
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| Предметный указатель |
Singular perturbation theory, higher approximations in 311—316
Singularity, excluded by small sphere 568—569
Skin effect 153
Slime mold amebae, aggregation of 22—31
Small box method 444—446
Small terms, neglect of 210
Smith, G. M. 222
Smith, J. M. 345
Smith, W. 106
Smoothness, piecewise 131
Sobolev, S. L. 170
Sound speed 377 542
Source point 574
Source solution 103
Spatial description 420
Spatial variables 357 420
Specific heat 481
Sphere, cooling of 129
Sphere, flow past 559—560
Sphere, Green’s function for 576—577
Spherical waves 543
Stability 16 28 58 322—324
Stability in numerical analysis 154
Stability in population dynamics 533—534
Stability of reaction-diffusion equations 537—539
Stability of two-layer inviscid flow 535—536
Stability of viscous flow model 531 534—535
Stagnation points 558
Stakgold, I. 296
Standing gradient flow 245
Standing wave 381 403 544
Star-shaped regions 430
state variables 492
Stationary time sequence 176—178
Steady flows 421 423
Stefan’s law 149
Stieltjes integral 176
Stirling’s approximation 81 86—89 102
Stoker, J. 344
Stokes’law 78 204—205
strain 363
Stratified fluid 516
Stream function 511
Streamlines 422—424
Stress 358—360 454
Stress in one-dimensional elastic bar 364
Stress, component 361
Stress, in motionless fluids 505—510
Stress, tensor 458—461
Stress-strain relation 364
Sturm — Liouville theory 159 167 404—405 521 529
Substantial derivative see Material derivative
Substrate 304
Successive approximations see Iteration
Superposition 39 103 114
Surface traction 358
Symmetry, in perturbation calculations 232
Systems of ordinary differential equations, theorems for 57—65
Taylor instability 536
Taylor series 46 47
Tensors 449
Term-by-term integration 89
Theoretical science, contrasted with applied mathematics 7
| Thermal diffusivity 118
Thermodynamics 491—501
Thermostatics 474
Thring, M. W. 203
Time scale 128
Titchmarsh, E. C. 147
Tormey, J. 245
torque 465
Trajectories 336
Transient 124
Translation invariance 103
Transmitted wave 381
Trial and error 222
Triangle, diffusion from 106—108
Trigonometric identities 229
Trivial solution 125 157
Truesdell, C. 22 33 412 501
Truncated sinusoid, Fourier analysis of 173—176
Tseng, H. 466
Tsuchiya, H. M. 305
Turing, A. 537
Uniform approximation 294—295 310
Uniform validity 289—290
Uniqueness 58 60 122—123
Unorthodoxy 218—221
Unstable equilibrium 515
Unstirred layers 261
Van Ness, H. C. 491
Variance 76—77
Vasil’eva, A. B. 315
Vector 488
Vector, product 465
Velocity 352 420
Velocity potential 512—13 558
Velocity scale 214
Verhulst — Pearl equation 324
Virtual displacement 407
Vitt, A. 344
von Karman, T. 8
von Neumann, J. 32
Watson, G. S. 106
Wave equation 377—378 542
Wave function 396
wave number 380
Wave number vector 522
Wavelength 380
Wedge, propagation of discontinuities in 399
Weighting function 145
Weinbaum, S. 275
Well-posed problem 123
Whittaker, E. T. 69
Widder, D. 176
Wigner, E. P. 33
Wilson, C. 37
Wimp, J. 76
Wolford, J. C. 222
Woltjer, L. 16
Work 401—402 493
Work-energy principle 403
Wretched consistent approximations 189
Young’s modulus 364—365
Zermelo paradox 109
Zero of a function 190—191
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