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Авторизация |
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Поиск по указателям |
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Greenberg M.D. — Advanced engineering mathematics |
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Предметный указатель |
Post-multiplication 471
Potential 829
potential energy 664
potential flow 1085 1174 1179 1180
Power method 567
Power series 1212 1216 1220
Power series convergence 178
Power series solutions 182
Pre-dot 897
Pre-multiplication 471
Predictor-corrector methods 308
principal argument 1126
Principal axes 581
Principal inertias 58
Principal normal 72
Principal value 1131
Pringsheim convergence 1038
Proper (regular) integral 218
Pseudoinverse 513
Quadratic form 589
Quadratic form, negative definite 592
Quadratic form, positive definite 592
Quarter-range expansion 87
Radioactive decay 39
Radius of convergence 178 1214
Radius of curvature 721
Ramp function 270
RANGE 530 531 1114
Rank 495 500
Ratio Test 1210
Rational function 182 1249
Rational function approximation 983
Rayleigh's quotient 566
Rayleigh, Lord (Sir John William Strutt) 566 810
RC circuit 38 273
Re 1109
Real axis 1111
Real part (Re) 1111
Reciprocal vectors 455 457 525
Rectangular pulse 270 916 921
Rectangular rule 312
Recurrence formula 184
Recursion formula 184
Redheffer, R.M. 688 877
Reduction of order 102 123
Reflection, law of 675
Refraction, law of 675
Region 1114
Region, bounded 723
Regular (proper) integral 218
Regular singular point 194
Regular Sturm — Liouville problem 905
Relaxation oscillation 374 868
Remainder term 631 1215
Repeated roots of characteristic equation 102
Represent 632 850
Residue 1241
Residue theorem 1241
Resonance 15
Response 38
Reymond, P. Du Bois- 844
Reynold's number 59 505
Riccati equation 33 129
Riccati, J.F. 33
Riemann sum 723 744
Riemann, G.F. 1140
Right-hand limit 852
RL circuit 37 157
RLC circuit 271
rms current 858
Robin boundary condition 952 1104
Rodrigues's formula 214
Ronald, Lord 1138
Root of order k 102
Roundoff error due to small pivots 409 410
Roundoff error for ODE's 324
Roundoff error for PDE's 1003
Routh — Hurwitz criterion 494
Row 466
Row equivalence 404 494
Row space 497
Row vector 469
Runge — Kutta method, fourth-order 304
Runge — Kutta method, second-order 302
Saddle 356 660
Saddle-node bifurcation 368
Saff, E.B. 1218
Saint Venanl's principle 279
Scalar field 758
Scalar multiplication of vectors 414 431
Scalar potential 829
Scalar product 685
Scalar triple product 692
Schmidt, E. 1000
Schwartz, L. 277
Schwarz inequality 424 601
Schwarz, H.A. 424
Second-order tensor 767
Self-adjoint 900
Separable ODE 46
Separable PDE 954 969 1023 1035 1040 1059 1070 1077 1082
Separable PDE, nonseparable 972
Separated boundary conditions 905
Separatrix 342
Serret — Frenet formulas 721
Serret, J.A. 721
Shooting methods 319
Similar matrices 553
Simple closed curve 715
Simple curve 715
Simplex method 670
Simply connected region 826 836
Simpson's rule 312
Sine 1118
Sine integral 917
singular 1142
Singular (improper) integral 218
Singular function 18
Singular integral 221
Singular matrix 51
Singular point 193
Singular point in phase plane 350
Singular point of function 18
Singular point, isolated 1234
Singular point, nonisolated 1234
Singular solution 52
Singular Sturm — Liouville problem 905
Slack variable 670
Slegun, I. 983
Smale, S. 338
Small-t solution for finite rod 990
Smith, G.D. 1057
Smith, O.K. 373
Smith, P. 382 384
Smooth 739
Smooth curve 715
Smooth surface 727
Snider, A.D. 1218
Sokolnikoff, I.S. 648 877
Solenoidal held 840
Solution curve 21
Solution of linear algebraic equations 393
Solution of ODE 4
Solution of PDE 944
Solution set 393
Solution space 438 502
span 439
Spherical coordinates 705 752 786 821 1081
Spiral (focus) 354
| Square matrix 472
Stability and convergence 324 1004
Stability of numerical ODE solution 324
Stability of numerical ODE solution, strong stability 327
Stability of numerical ODE solution, weak stability 327
Stability of numerical PDE solution 1004
Stability of singular point 352
Stability of solution 105
Standard basis 452
Standing wave 1026 1029
Star (proper node) 356
Steady-slate solution 37 154 959 1123
Stiffness matrix 515
Stirling's formula 641
Stochastic (Markov) matrix 549
Stoichiometry 499
Stoker, J.J. 338 722
Stokes's theorem 814
Stokes, G.G. 810 874
Stream function 839 1176
streamline 759 1176
Strogatz, S.H. 366
Strongly stable method 327
Struble, R.A. 435
Struik, D.J. 722
Sturm — Liouville problem 887 965 1029 1070 1080
Sturm, C. 887
Subharmonic oscillation 384
SubMatrix 496
subspace 439
Successive overtaxation (SOR) 1009 1101
Superposition of solutions 85 136 946
surface 733
Surface integral 739 743
Surface, area element 739
Surface, closed 814
Surface, normal to 734 797
Surface, open 814
Surface, orientable 758
Surface, tangent plane to 735
Suspension bridge cable 14
Symmetric matrix 554
System of ODE's 157
System of ODE's, existence and uniqueness 160
System of ODE's, numerical solution 313
System of ODE's, solution by elimination 162
Tangent line 361 698
Tangent plane 361 715 721 735 737
Tangent vector 698 715 720
Tangent-line method 293
Taylor series 180 632 638 1215
Taylor's formula 631 638
Telegraph equations 979
Telephone equations 979
terminal velocity 44
Termwise differentiation 875 1222
Termwise integration 879 1222
Termwise manipulation of power series 179
Thomson, W.T. 1033
time constant 955
Timoshenko, S. 862
Titchmarsh, E.C. 877
Tolstov, G.P. 877
Transcendental equation 392 642
Transform, Fourier 921
Transform, integral 247
Transform, Laplace 247
Transformation 530 614
Transformation, invertible 535
Transformation, linear 532
Transformation, matrix 534
Transformation, one-to-one 535
Transformation, onto 535
Transient solution 37 154
Transpose matrix 481
Trapezoidal rule 312
traveling wave 1027
Triangle inequality 425 601 1111
Triangular matrix 480
Triangularization 491
Tricomi equation 948
Tridiagotial matrix 552 566 1006
Trigonometric complex functions 1118
Trigonometric series 850
Triple integral 727
Tromba, A.J. 725 759 822
Truncation error 296 1093
Two-dimensional unsteady diffusion 1043
Unbounded 213
Undetermined coefficients 135 1219
Uniform convergence 874
Uniqueness for diffusion equation 979
Uniqueness for Poisson equation 1069
Uniqueness for wave equation 1033
Unit impulse function 276
Unit step function 269
Unitary matrix 608
Universal gravitational constant 53
Upper triangular matrix 490
Van der Mark, J. 373
van der Pol equation 372
Van der Pol, B. 372 373
Van der Waals equation 655
Vandermonde determinant 495
Variation of parameters 27 141
Vector 413
Vector convergence 884
Vector field 759
Vector function 695
Vector limit 696
Vector product 685
Vector space 430
Vector space dimension 450
Vector transformation 530
Vector triple product 693
Velocity 699 701 722
Verhulst population model 55
Verhulst, P.F. 42
Vertical p-integral 222
vibrating beam 1033
Vibrating drumhead 1042
Vibrating mass 2 10 110 115 149 261 362 575
Vibrating masses 159 165 557 562
Vibrating membrane 1035
Vibrating string 1017 1023
Visual perception 375
Vladimirov, V.I. 123
Volterra's predator-prey model 367
Volume 748
Volume element 749
Volume integral 752
Vorticity 774
Water waves 1022
Watson, G.N.I. 199
Wave equation 1020 1035
Wave speed 1029
Waves in a rod 1022
Weakly stable method 327
Weierstrass M-test 875
Weierstrass, K. 874 1140
Wertheimer, M. 377
Widder, D.V. 253
Wronski, J.M.H. 78
wronskian 78
Wylie, C.R. 588
Yeshua Hamashiaeh xix
Zauderer, E. 1057
Zero of f(c) 1236
Zero vector space 438
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