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Lin C., Segel L. — Mathematics Applied to Deterministic Problems in the Natural Sciences
Lin C., Segel L. — Mathematics Applied to Deterministic Problems in the Natural Sciences



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Íàçâàíèå: Mathematics Applied to Deterministic Problems in the Natural Sciences

Àâòîðû: Lin C., Segel L.

Àííîòàöèÿ:

Addresses the construction, analysis, and interpretation of mathematical models that shed light on significant problems in the physical sciences.

The authors' case studies approach leads to excitement in teaching realistic problems. The exercises reinforce, test and extend the reader's understanding. This reprint volume may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers working on fluid mechanics, elasticity, perturbation methods, dimensional analysis, numerical analysis, continuum mechanics and differential equations.



ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1988

Êîëè÷åñòâî ñòðàíèö: 629

Äîáàâëåíà â êàòàëîã: 06.03.2016

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Projectile problem, nondimensionalization of      195—198
Projectile problem, parametric differentiation in      237—238
Projectile problem, parametric differentiation in      237—238
Projectile problem, perturbation theory in      233—240
Projectile problem, scaling of      211—213
Propeller thrust      204
Propeller thrust      204
Proust, J.      466
Pure mathematics, relation to applied mathematics      68—69 115
Pure mathematics, relation to applied mathematics      68—69 115
Quasi-linear equation      545
Quasi-linear equation      545
Radiation      147
Radiation      147
Radiation condition      384 583
Radiation condition      384 583
Railroad track, strain in      365
Railroad track, strain in      365
Random motion      25
Random motion      25
Random processes      71
Random walk      73—77 91—97 100—101
Random walk      73—77 91—97 100—101
Rate constant      303
Rate constant      303
Rate of deformation tensor      479
Rate of deformation tensor      479
Rayleigh quotient      404—409
Rayleigh quotient      404—409
Rayleigh — Ritz method      407—409
Rayleigh — Ritz method      407—409
Reciprocity property      575
Reciprocity property      575
Recurrence property      108—110
Recurrence property      108—110
Reflected wave      381
Reflected wave      381
Reflecting barrier      95—96
Regular perturbation theory      240
Regular perturbation theory      240
Reiner, M.      510
Relative error      191
Relative error      191
Relativity      41
Relativity      41
Residual      190—119
Residual      190—119
Resonant term      53
Resonant term      53
Reversible processes      493
Reynolds number      201
Reynolds number      201
Reynolds transport theorem      374 443
Reynolds transport theorem      374 443
Riemann method      544
Riemann method      544
Riesz — Fischer theorem      147
Riesz — Fischer theorem      147
Rigid body      487
Rigid body      487
Rigor      34
Rigor      34
Rubinow, S.      311
Ruffner, J.A.      487
Saddle point      340
Saddle point      340
Scale models      200—203 253
Scale models      200—203 253
Scale-up problems      202
Scaling      209—223 226 284
Scaling      209—223 226 284
Scaling in chemical kinetics      306—307
Scaling in standing gradient flow problem      262—264
Scaling, regular perturbation theory and      236
Scaling, regular perturbation theory and      236
Scattering      384
Scattering      384
Schey, H.M.      viii
Secondary quantities      206
Secondary quantities      206
Secular equation      see "Characteristic equation"
Secular equation      see "Characteristic equation"
Secular term      53
Secular term      53
Segel, L.      24 112 185 246 277
Selwyn, Ph.      491
Semipermeable membrane      247
Semipermeable membrane      247
Sensitivity      71 189 193
Sensitivity      71 189 193
Separation constant      125
Separation constant      125
Separation of variables      123—127 553—555
Separation of variables      123—127 553—555
Separatrix      337
Separatrix      337
Shaffer, D.      34
Shear stress      506
Shear stress      506
Ship design      201—202
Ship design      201—202
Shock strength      551
Shock strength      551
Shock waves      547—549
Shock waves      547—549
Silent rings      587
Silent rings      587
Silly Putty      506
Silly Putty      506
Silver, D.      466
Similar regions      436—439
Similar regions      436—439
Simple waves      544
Simple waves      544
Sine integral function      143
Sine integral function      143
Sine series      see "Fourier series"
Sine series      see "Fourier series"
Singular perturbation theory      277—301
Singular perturbation theory      277—301
Singular perturbation theory, applied to biochemical kinetics      302—320
Singular perturbation theory, applied to biochemical kinetics      302—320
Singular perturbation theory, higher approximations in      311—316
Singularity, excluded by small sphere      568—569
Singularity, excluded by small sphere      568—569
Skin effect      153
Skin effect      153
Slime mold amebae, aggregation of      22—31
Slime mold amebae, aggregation of      22—31
Small box method      444—446
Small box method      444—446
Small terms, neglect of      210
Small terms, neglect of      210
Smith, G.M.      222
Smith, J.M.      345
Smith, W.      106
Smoothness, piecewise      131
Smoothness, piecewise      131
Sobolev, S.L.      170
Sound speed      377 542
Sound speed      377 542
Source point      574
Source point      574
Source solution      103
Spatial description      420
Spatial description      420
Spatial variables      357 420
Spatial variables      357 420
Specific heat      481
Specific heat      481
Sphere, cooling of      129
Sphere, flow past      559—560
Sphere, Green's function for      576—577
Sphere, Green's function for      576—577
Spherical waves      543
Spherical waves      543
Stability      16 28 58 322—324
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
Stability of viscous flow model      531 534—535
Stagnation points      558
Stagnation points      558
Stakgold, I.      296
Standing gradient flow      245
Standing wave      381 403 544
Star-shaiped regions      436
Star-shaiped regions      436
state variables      492
state variables      492
Stationary time sequence      176—178
Stationary time sequence      176—178
Steady flows      421 423
Steady flows      421 423
Stefan’s law      149
Stefan’s law      149
Stieltjes integral      176
Stieltjes integral      176
Stirling’s approximation      81 86—89 102
Stirling’s approximation      81 86—89 102
Stoker, J.      344
Stokes' Law      78 204—205
Stokes' Law      78 204—205
strain      363
strain      363
Stratified fluid      516
Stratified fluid      516
Stream function      511
Stream function      511
Streamlines      422—424
Streamlines      422—424
Stress      358—360 454
Stress      358—360 454
Stress component      361
Stress in motionless fluids      505—510
Stress in one-dimensional elastic bar      364
Stress in one-dimensional elastic bar      364
Stress tensor      458—461
Stress tensor      458—461
Stress-strain relation      364
Sturm — Liouville theory      159 167 404—405 521 529
Sturm — Liouville theory      159 167 404—405 521 529
Substantial derivative      see "Material derivative"
Substantial derivative      see "Material derivative"
Substrate      304
Substrate      304
Successive approximations      see "Iteration"
Successive approximations      see "Iteration"
Superposition      39 103 114
Superposition      39 103 114
Surface traction      358
Surface traction      358
Symmetry, in perturbation calculations      232
Symmetry, in perturbation calculations      232
Systems of ordinary differential equations, theorems for      57—65
Systems of ordinary differential equations, theorems for      57—65
Taylor instability      536
Taylor instability      536
Taylor series      46 47
Taylor series      46 47
Tensors      449
Tensors      449
Term-by-term integration      89
Term-by-term integration      89
Theoretical science, contrasted with applied mathematics      7
Thermal diffusivity      118
Thermal diffusivity      118
Thermodynamics      491—501
Thermostatics      474
Thermostatics      474
Thring, M.W.      203
Time scale      128
Time scale      128
Titchmarsh, E.C.      147
Tormey, J.      245
torque      465
torque      465
Trajectories      336
Trajectories      336
Transient      124
Transient      124
Translation invariance      103
Translation invariance      103
Transmitted wave      381
Trial and error      222
Triangle, diffusion from      106—108
Triangle, diffusion from      106—108
Trigonometric identities      229
Trigonometric identities      229
Trivial solution      125 157
Trivial solution      125 157
Truesdell, C.      22 33 412 501
Truncated sinusoid, Fourier analysis of      173—176
Truncated sinusoid, Fourier analysis of      173—176
Tseng, H.      466
Tsuchiya, H.M.      305
Turing, A.      537
Uniform approximation      294—295 310
Uniform approximation      294—295 310
Uniform validity      289—290
Uniqueness      58 60 122—123
Uniqueness      58 60 122—123
Unorthodoxy      218—221
Unorthodoxy      218—221
Unstable equilibrium      515
Unstable equilibrium      515
Unstirred layers      261
Unstirred layers      261
van Ness, H.C.      491
Variance      76—77
Vasil’eva, A.B.      315
Vector      488
Vector      488
Vector product      465
Vector product      465
Velocity      352 420
Velocity      352 420
Velocity potential      512—513 558
Velocity potential      512—513 558
Velocity scale      214
Velocity scale      214
Verhulst — Pearl equation      324
Verhulst — Pearl equation      324
Virtual displacement      407
Virtual displacement      407
Vitt, A.      344
von Karman, T.      8
von Neumann, J.      32
Watson, G.S.      106
Wave equation      377—378 542
Wave equation      377—378 542
Wave function      396
Wave function      396
wave number      380
wave number      380
Wave number vector      522
Wavelength      380
1 2 3 4 5
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