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| Greenberg M.D. — Advanced engineering mathematics |
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| Предметный указатель |
 600
 420
 639
Abramowitz, M. 983
Absolute convergence of singular integral 221
Absolutely integrable 924 936
Acceleration 699 701 722
Accumulated roundoff error 1003
Accumulated truncation error 1003
Action potential 375
Acton, F. 854
Adams — Bashforth method 309
Adams — Moulton method 309
Adjoint matrix 511
Adjoint operator 900
Airy equation 192 948
Airy functions 192
Algebraic equation 392 642
Algebraic growth 61
Ampere's law 813 817
Amplitude of vibration 111
Analog circuit 39
Analytic continuation 1218
Analytic function 181
Analyticity 1142
Andronov, A. 337
Angular velocity 708
Aperiodic motion 386
Apostol, T.M. 624 676 725 876 924
ARC 715
Arc length 717
Archimedes's principle 809
Area clement 739 740
Argand, J.R. 1111
Argument 1126
Aristotle 414
Asymptotic stability of singular point 353
Autonomous system 344
Average value property 1076
Back substitution 397
Barrett, L.C. 588
Basis 449
Basis of solutions 87
Basis, change of 526
Basis, orthogonal 453
Beam on elastic foundation 134
Beam on elastic foundation by Fourier integral 917
Beam on elastic foundation by Fourier series 862
Beam on elastic foundation by Fourier transform 928
Beats 566
Berg, P.W. 1038
Bernoulli equation 32 840
Bernoulli, Daniel 32 1017
Bernoulli, Jakob 32
Bernoulli, Johann 32
Bessel equation 230 908
Bessel function of first kind 232
Bessel function of second kind 234
Bessel general solution 235
Bessel inequality 885
Best approximation 458 882
beta function 229
Bifurcation 368
Biharmonic operator 782
Bilinear (Moebius) transformation 1158
Binder, L. 1000
binomial 721
Birmrmonic equation 782 972
Block, H.D. 414
Block-diagonal matrix 493
Boundary condition of first kind (Dirichlet) 951 1170
Boundary condition of second kind (Neumann) 952 1172
Boundary condition of third kind (Robin) 952
boundary conditions 6
Boundary point 616 1114
Boundary-value problem 6 88 317 1066
Bounded function 213
Bounded region 723
Boundedness condition 97
Bounds on integrals, a sharper bound 1189
Bounds on integrals, ML bound 1186
Boyce, W.E. 83
Branch cut 1131
Branch point 1132
Brown, J.W. 851
Buckling application of quadratic forms 593
Buckling dynamic formulation 371
Buckling eigenvalue problem 890 904
Burkill, J.C. 83
Canonical form of wave equation 1044
Canonical quadratic form 590
Capacitor 35
Carbon dating 39 41
Carslaw, H.S. 845 857
Cartesian coordinates 687
Cauchy 1315
Cauchy convergence theorem 176 1210
Cauchy integral formula 1200
Cauchy integral formula for circular disk 1206
Cauchy integral formula for upper half plane 1206
Cauchy integral formula, generalized 1204
Cauchy principal value 1257
Cauchy product of series 180
Cauchy theorem 1191
Cauchy — Euler equation 118
Cauchy — Euler equation, reduced to constant-coefficient equation 132
Cauchy — Riemann equations 1140
Cauchy, A.-L. 492 1140
Cayley product 469
Cayley — Hamilton theorem 554
Cayley — Klein parameters 599
Cayley, A. 469
Center of gravity 730
Center-type singularity in phase plane 353
Central difference quotient 1000
Chaikin, C. 337
Chain rule 625 655
Change of variables 652
Change-of-type equation 948
Chaos 383 386
Characteristic equation 95 543 888
Characteristic polynomial 95 553
Characteristic value 542
Characteristic vector 542
Chebyshev equation 912
Chebyshev, P. 912
Chemical kinetics 170 573
Churchill, R.V. 851 1190
Circular functions 91
Circulation 813
Clairaut equation 34
Clairaut, A.C. 36
Classification of PDE's 946
Closed curve 715
Closed interval ![$[\mathrm{x}_1, \mathrm{x}_2]$](/math_tex/cd8bb2e5ca8f984d9518b2cfd31388a382.gif) 49 422
Closed orbit 342
Closed region 616 1114
Closed surface 814
Cofactor 487
Cofactor expansion 487
Column of matrix 466
Column space 497
Column vector 469
Comparison tests 219 220 1210
Complementary error function 984
Complementary solution 28 134
Complex argument 1126
Complex conjugate 1111
Complex fractional power 1128
Complex function method for finding particular solutions 991 1122
| Complex general power 1130
Complex impedance 1123
Complex integral 1182
Complex logarithm 1129
Complex matrix 603
complex modulus 1126
Complex number 1109 1126
Complex plane 1111
Complex series 1209
Complex velocity potential 1176
Composite function 625
Compound interest 46
Computer graphics 538
Computer software sections 30 59 108 168 190 209 216 241 253 274 279 310 321 332 370 387 406 492 506 522 550 588 609 640 670 719 730 760 902 931 973 1041 1124
Conformable matrices 467 469
Conformal map 1153 1156 1158
Conformal map, table Appendix F
Connected set 615 1114
Conservative system 367 832
Consistent equations 393
Constancy mechanisms 377
Constraints 665
Continuity equation 799 809
Continuity of f(z) 1137
Continuous function 617
Continuously differentiable 762
Convection term 950
Convergence 1210
Convergence and stability of numerical solution 324
Convergence in pointwise sense 886
Convergence in vector sense 884 886
Convergence of matrix series 587
Convergence, Pringsheim 1038
Convergent finite-difference scheme 1004 1093
Convergent integral 219
Convergent method 294
Convergent Series 176
Convex region 825
Coordinate, curve 734
Coordinate, transformation matrix 527
Coordinate, vector 527
Cosine 1118
Coulomb's law 53 664
Cramer's rule 517
Crandall, S.H. 567
Crank — Nicolson scheme 1006
Critical damping 112
Critical point in phase plane 350
Critical point of a function 660 664
Cross product 685
Curvature 721
Curve 714
Curvilinear coordinates 733
Cylindrical coordinates 751 783 803 820 835 1077
D'Alembert solution 1044 1046
d'Alembert — Lagrange equation 33
D'Alembert, J. le Rond 33 1017 1043
Damping 112
Dantzig, G.B. 670
de Moivre's formula 1127
Delta function 985
Derivative of f(z) 1138 1141
Determinant 486
Deterministic system 386
Di Prima, R.C. 83
Diagonalization 570 608
Difference equation 298 325 328
Difference kernel 930 984
Difference quotient, backward 771 1105
Difference quotient, central 1105
Difference quotient, forward 771 1104
Differential equation 2
Differential form 822
Differential operator 84
Differentiation of base vectors, difference quotient method 702
Differentiation of base vectors, omega method 707
Differentiation of base vectors, transform method 703
Diffusion equation 800 943
Diffusivities 949
Dimension of space 450
Dimensional analysis 503 508
Dipole moment 218
Dirac delta function 276
Dirae, P.A.ML. 276
Direction cosines 429
Direction field 21
Directional derivative 767
Dirichlet boundary condition 951 1170
Dirichlet problem 1059
Dirichlet problem for disk 1073
Dirichlet problem for half plane 1088
Dirichlet problem for sphere 1082
Dirichlet, P.G. Lejeune- 844
Discontinuous function 617
Discrete Fourier Transform 931
Distance 614 1114
Distributions, theory of 277
Divergence 761 1210
Divergence theorem 792
Divergence theorem, two-dimensional case 803
Divergent integral 219
Divergent series 176
Domain (open region) 530 616 1114
Domain of influence 1046
Doolittle's method 520
Dot product 417 421 600
Dot product, Euclidean 422
Dot product, properties of 423
Double Fourier series 1037
Double integral 724
Double series 1037 1038
Dual vectors 455 457 525
Duffing equation 345 380
Dulling, G. 380
Dyad 767
Dynamical systems 331
Eigenfrequencies 559
Eigenfunction 888
Eigenspace 553
Eigenvalue 542 888
Eigenvalue bounds 566
Eigenvalue problem 542
Eigenvector 542
Eigenvector expansion method 564 977 1032 1069
Eigenvector, generalized 583
Ekeland, I. 40 331 338
Electrical analog 114
Electrical circuit elements 35 36
Electrical dipole 218
Electrical LC circuit 3 159 271
Electrical potential 664
Electrical RC circuit 273 278
Electrical RL circuit 37 157
Electrical RLC circuit 156
Electromagnetic waves 1022
Elementary functions 25
Elementary operations on equations 397
Elementary operations on matrices 403
Elementary row operation 497 518
Elementary singularities in phase plane 350 549
Elliptic PDE 947
Empirical estimate of order 307
entropy 839
Equilibrium point 342 664
Equivalent systems 397
Erdelyi, A. 252 922
Error function 130 983
Essential singularity 1235
Euclidean dot product 422
Euler beam theory 862 890
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