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| Авторизация |
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| Kreyszig E. — Advanced engineering mathematics |
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| Предметный указатель |
Convergence, tests 667—672
Convergence, uniform 691
Conversion of an ODE to a system 134
Convolution 248 523
Cooling 14
Coordinate transformations A71 A84
Coordinates, Cartesian 366 604
Coordinates, curvilinear A71
Coordinates, cylindrical 587 A71
Coordinates, polar 137 443 580 607
Coordinates, spherical 588 A71
Coriolis acceleration 396
Corrector 890 900
Correlation analysis 1089
Cosecant 627 A62
Cosine of a complex variable 627 688 743
Cosine of a real variable A60
Cosine, hyperbolic 688
Cosine, integral A66 A95
Cotangent 627 A62
Coulomb 92
Coulomb law 409
Covariance 1039 1085
Cramer’s Rule 306—307 312
Crank — Nicolson method 924
Critical damping 65
Critical point 31 142 730
Critical region 1060
Cross product 377
Crout’s method 841
Cubic spline 811
Cumulative, distribution function 1011
Cumulative, frequency 994
Curl 414 430 472 A71
Curvature 397
Curve 389
Curve, arc length of 393
Curve, fitting 859
Curve, notifiable 393
Curve, orientation of 390
Curve, piecewise smooth 421
Curve, simple 391
Curve, smooth 421 638
Curve, twisted 391
Curvilinear coordinates A71
Cut set 976
CYCLE 959
Cycloid 399
Cylinder 446
Cylinder, flow around 763 767
Cylindrical coordinates 587 A71
Damping 64 88
Dantzig 944
DATA DESK 991
De Moivre 610
De Moivre, formula 610
De Moivre, limit theorem 1031
de Morgan’s laws 999
Decay 5
Decreasing sequence A69
decrement 69
Dedekind A69
Defect 337
Defective item 1073
Definite complex integral 639
Definiteness 356
Deformation of path 649
Degenerate feasible solution 947
Degree of a vertex 955
Degree of precision 822
Degrees of freedom 1052 1055 1066
Deleted neighborhood 712
Delta, Dirac 242
Delta, Kronecker 210 A83
density 1014
Dependent, linearly 49 74 106 297 300 325
Dependent, random variables 1036
Depth first search 960
Derivative of a complex function 616 658
Derivative of a vector function 387
Derivative, directional 404
Derivative, left-hand 484
Derivative, right-hand 484
DERIVE 778
Descartes 366
Determinant 306 308
Determinant of a matrix 305
Determinant of a matrix product 321
Determinant, Cauchy 112
Determinant, characteristic 336 864
Determinant, Vandermonde 112
DFS 960
Diagonal matrix 284
Diagonalization 351
Diagonally dominant matrix 868
Diameter of a graph 973
Difference table 803
Differences 802 804 807—808
Differentiable complex function 616
Differential 19 429
Differential equation (ODE and PDE) of vibrating beam 547 552
Differential equation (ODE and PDE) of vibrating mass 61 86 135 150 243 261 342 499
Differential equation (ODE and PDE) of vibrating membrane 569—586
Differential equation (ODE and PDE) of vibrating string 538
Differential equation (ODE and PDE) with constant coefficients 53 111
Differential equation (ODE and PDE), Airy 552 904
Differential equation (ODE and PDE), Bernoulli 30
Differential equation (ODE and PDE), Bessel 189 204
Differential equation (ODE and PDE), Cauchy — Riemann 37 618 621
Differential equation (ODE and PDE), elliptic 551 909
Differential equation (ODE and PDE), Euler — Cauchy 69 185
Differential equation (ODE and PDE), exact 20
Differential equation (ODE and PDE), homogeneous 27 46 105 535
Differential equation (ODE and PDE), hyperbolic 551 928
Differential equation (ODE and PDE), hypergeometric 188
Differential equation (ODE and PDE), Laguerre 257
Differential equation (ODE and PDE), Laplace 407 465 536 579 587 910
Differential equation (ODE and PDE), Legendre 177 204 590
Differential equation (ODE and PDE), linear 26 45 105 535
Differential equation (ODE and PDE), nonhomogeneous 27 46 105 535
Differential equation (ODE and PDE), nonlinear 45 151 535
Differential equation (ODE and PDE), numeric methods for 886—934
Differential equation (ODE and PDE), ordinary 4
Differential equation (ODE and PDE), parabolic 551 909 922
Differential equation (ODE and PDE), partial 535
Differential equation (ODE and PDE), Poisson 910 918
Differential equation (ODE and PDE), separable 12
Differential equation (ODE and PDE), Sturm — Liouville 203
Differential form 20 429
Differential geometry 389
Differential operator 59
Differentiation, analytic functions 691
Differentiation, complex functions 616
Differentiation, Laplace transforms 254
Differentiation, numeric 827
Differentiation, power series 174 680
Differentiation, series 696
Differentiation, vector functions 387
Diffusion equation 464 552
Diffusivity 552
Digraph 955
Dijkstra’s algorithm 964
Dimension of vector space 300 325 369
Diodes 399
Dirac’s delta 242
Direct method 845
Directed, graph 955
Directed, line segment 364
Directed, path 982
Direction field 10
| Directional derivative 404
Dirichlet 467
Dirichlet, discontinuous factor 509
Dirichlet, problem 467 558 587 915
Discharge of a source 767
Discrete, Fourier transform 525
Discrete, random variable 1011 1033
Discrete, spectrum 507 524
Disjoint events 998
Disk 613
Dissipative 429
distribution 1010
Distribution, Bernoulli 1020
Distribution, binomial 1020 A96
Distribution, chi-square 1055 A101
Distribution, continuous 1011
Distribution, discrete 1011 1033
Distribution, Fisher’s F-distribution 1066 A102
Distribution, function 1011 1032
Distribution, Gauss 1026
Distribution, hypergeometric 1024
Distribution, marginal 1035
Distribution, multinomial 1025
Distribution, normal 1026 1047—1057 1062—1067 A98
Distribution, Poisson 1022 1073 A97
Distribution, Student’s t-distribution 1053 A100
Distribution, two-dimensional 1032
Distribution, uniform 1015 1017 1034
Distribution-free test 1080
Divergence of vector fields 410 A72
Divergence theorem of Gauss 459
Divergent, sequence 665
Divergent, series 171 667
Divided differences 802
Division of complex numbers 604 609
Domain 401 613 646
Doolitile’s method 841
Dot product 325 371
Double Fourier series 576
Double integral 433
Double labeling 968
DOUBLE PRECISION 782
Driving force 84
Drumhead 569
Duffing equation 159
Duhamel’s formula 597
d’Alembert’s solution 549 551
Eccentricity of a vertex 973
Echelon form 294
EDGE 955
Edge, coloring 987
Edge, incidence list 957
Efficient algorithm 962
Eigenbasis 349
Eigenfunction 204 542 559 574
Eigenfunction, expansion 210
Eigenspace 336 865
Eigenvalue problems for matrices (Chap. 8) 333—363
Eigenvalue problems for matrices, numerics 863—882
Eigenvalue problems for ODEs (Sturm — Liouville problems) 203—216
Eigenvalue problems for PDEs 540—593
Eigenvalue problems for systems of ODEs 130—165
Eigenvector 334 864
EISPACK 778
Elastic membrane 340
Electric circuit see “Circuit”
Electrical network see “Networks”
Electromechanical analogies 96
Electromotive force 91
Electrostatic field 750
Electrostatic potential 588—592 750
Element of matrix 273
Elementary matrix 296
Elementary operations 292
Elimination of first derivative 197
ellipse 390
Ellipsoid 449
Elliptic cylinder 448
Elliptic paraboloid 448
Elliptic partial differential equation 551 909
Empty set 998
Engineering system Front cover
Entire function 624 661 711
Entry 273 309
Equality of complex numbers 602
Equality of matrices 275
Equality of vectors 365
Equally likely 1000
Equipotential lines 750 762
Equipotential surfaces 750
Equivalence relation 296
Equivalent linear systems 292
erf 568 690 A64 A95
Error 783
Error, bound 784
Error, estimation 785
Error, function 568 690 A64 A95
Error, propagation 784
Error, Type I, Type II 1060
Essential singularity 708
Estimation of parameters 1046—1057
Euclidean, norm 327
Euclidean, space 327
Euler 69
Euler backward methods for ODEs 896 907
Euler beta function A64
Euler constant 200
Euler formula 58 496 624 627 687
Euler formulas for Fourier coefficients 480 487
Euler graph 963
Euler method for systems 903
Euler numbers 690
Euler trail 963
Euler — Cauchy equation 69 108 116 185 589
Euler — Cauchy method 887 890 903
evaporation 18
Even function 490
Event 997
Everett interpolation formula 809
Exact differential equation 20
Exact differential form 20 429
Existence Theorem, differential equations 37 73 107 109 137 175
Existence theorem, Fourier integral 508
Existence theorem, Fourier series 484
Existence theorem, Laplace transforms 226
Existence theorem, Linear equations 302
Expectation 1016
Experiment 997
Explicit solution 4
Exponential decay 5
Exponential function, complex 57 623
Exponential function, real A60
Exponential growth 5 31
Exponential integral A66
Exposed vertex 983
Extended complex plane 710 736
Extension, periodic 494
Extrapolation 797
Extremum 937
F-distribution 1066 A102
Factorial function 192 1008 A95
Failure 1021
Fair die 1000
Falling body 8
False position 796
Family of curves 5 35
Faraday 92
Fast Fourier Transform 526
Feasible solution 942
Fehlberg 894
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