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| Harman T.L., Dabney J.B., Richert N.J. — Advanced Engineering Mathematicas with MATLAB |
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| Предметный указатель |
abs 53 73 519
Affine function 563
ALL 26
Ampere's Circuital Law 701
Analytic function 291 296
angle 519 523
ANS 15
Anti-aliasing filter 524
ANY 26
Argand diagram 54
Axis 40 215 549
Basis vectors 80 82
Bessel function of the second kind 333
Bessel functions 329 331 729
Bessel's differential equation 329 331 728 736
besselj 334
bessely 334
Beta 668
BIBO stability 448
Binary number system 49
bode 412
Bode plot 412
Bode, H.W. 412
break 28 314
brighten 551
Capacitor 629
cart2pol 594
cart2sph 594
Cauchy — Euler equation 730
Cayley — Hamilton theorem 183
Ceil 53
centripetal acceleration 601
Chain rule 554
clabel 549 726
clc 15
clear 10 15
ClF 17
clock 30
Closure properties 87
colormap 551
Column vectors 66
compass 59
Complex numbers, addition 55
Complex numbers, definition 54
Complex numbers, division 56
Complex numbers, modulus 55
Complex numbers, multiplication 55
Complex numbers, multiplication by a scalar 56
Complex numbers, polar form 57
Complex vectors 77 172
Complex, conjugate 55
Complex, matrix 172
Compound interest 465
Computer 7
cond 137
Conjugate gradient 637
Conservative system 626
Constrained extrema 586—587
Continuity equation 627 697
Continuous functions 276
contour 549 614
contour3 549
conv 431—432 487 491
Convergence 289
Convolution discrete 491
Coriolis force 601
Coulomb's law 608
Cramer's rule 557
Critical damping 223
Critical point 578
cross 72
Cross product 67
Curl 619
Curl, curvilinear coordinates 632
Curve, piecewise smooth 673
Curve, simple 673
Curve, smooth 673
Curvilinear coordinates 589 631
Cylinder 594
Cylindrical coordinates 590
Damping forces 221
db clear 30
DBCONT 30
dblquad 669
DBSTOP 30
DBTYPE 30
del2 609
demo 5 8
DET 118 132 135
determ 122
Determinants 114
Determinants, properties 117
diag 110—111 343
diary 9
diff 572 574—575 609
Difference equation 463 466—468 471
Difference equation, approximation to differential equations 473
Difference equation, complementary solution 467
Difference equation, general solutions 473
Difference equation, particular solutions 472
Difference equation, repeated roots 469—475
Difference equation, signal smoothing 474
Difference equation, Z-transform solution 488
Differential 560
Differential equation, approximate solutions 297
Differential equation, characteristic equation 216
Differential equation, classification 205
Differential equation, constant coefficients 216
Differential equation, eigenvalue problem 319
Differential equation, Fourier series solution 394
Differential equation, Fourier transform solution 403
Differential equation, homogeneous solutions 216
Differential equation, initial value problem 212
Differential equation, Laplace transform solution 434
Differential equation, linear 208
Differential equation, ordinary 205
Differential equation, ordinary point 330
Differential equation, partial 206
Differential equation, particular solutions 226
Differential equation, Runge — Kutta method 301
Differential equation, second order 220
Differential equation, singular point 330
Differential equation, solution by undetermined coefficients 227
Differential equation, solution by variation of parameters 233
Differential equation, transforming nth order 250
Differential equation, uniqueness of solution 208
Differential equation, variable coefficients 322
Differential equations, matrix solution 194
Differential equations, stiff 309
Differential equations, systems 233
Digital filter 475—479
Digital filter, frequency response 477
Digital signal 475
DIGITS 90
Dipole (electric) 594
dir 8
Dirac 431
Dirac delta function 439
Directional derivative 611
Dirichlet condition 720
Discrete convolution 491
Discrete Fourier transform (DFT) 512 514
Discrete sequences 464
Discrete systems 463
Discrete systems, frequency response 495
Discrete systems, stability 493—491
Discrete systems, unit pulse response 490
Discrete-time, signal 475
Discrete-time, unit pulse 490
Discrete-time, unit-step sequence 483
| DISP 11 15
Divergence 618
Divergence, curvilinear coordinates 632
Divergence, Theorem 687
Domain of a function 141 546
Doolittle method 123—65
Dot 72 78
Dot product 64—56 76
double 90 118
Double integral 650
DSOLVE 204 215 224 233 238—240 323 336
echo off 29
echo on 29
EIG 174 177
Eigenvalues 157
Eigenvalues, properties 170
Eigenvalues, repeated 168
Eigenvectors 157
Eigenvectors, number of independent 167
Electrostatic field 608 628
ellipj 668
ellipke 668
else 27
erf 668 704
etime 30
Euclidean norm 552
Euler's formula 57
Euler's method 299
eval 11 36 39
expint 668
EXPM 181
Extrema of functions 578
Extrema of functions, second derivative test 579
eye 110—111 343
EZPLOT 204 215 549
Factor 161
Faraday's law 738
Fast Fourier transform (FFT) 512 516
Feather 59
feval 304
FFT 519 668
fft2 668
fftshift 519—520 540
Fibonacci sequence 470
figure 17 549
fill 549
fill3 549
find 26 583
fix 53
Fixed-point notation 50
Floating-point notation 50
FLOOR 53
fmin 582
fminbnd 582
fmins 582—583 585
fminsearch 582—29
for 28
Forcing function 212
FORMAT 51
format compact 6
format long 41 53
Forward difference operator 573
FOURIER 399 519 668
Fourier and Laplace transforms 452
Fourier coefficients 92 362
Fourier optics 665
Fourier series 372
Fourier series, complex 381
Fourier series, convergence 392
Fourier series, differentiation of 393
Fourier series, Gibbs phenomenon 393
Fourier series, integration of 393
Fourier series, power 385
Fourier series, properties 391
Fourier series, solution of differential equations 394
Fourier series, spectrum 383
Fourier series, summary 386
Fourier transform 396
Fourier transform, 2D 665
Fourier transform, applications to differential equations 403
Fourier transform, compared to series 402
Fourier transform, properties 400
Fourier — Bessel series 736
Fourier — Legendre series 731
Fourier's law of heat conduction 616 679
Fourier, Jean Baptiste 371
fplot 18 549
fprintf 11
Fraunhofer diffraction pattern 344
Frequency analysis of signals 508
Frequency response 404
freqz 487 496
Fubini's theorem 652
Function, affine 563
Function, analytic 291
Function, continuous 276
Function, discontinuous 277
Function, linear approximation 561 563
Function, multivariate 546
Function, piecewise continuous 276
Function, uniformly continuous 277
Function, vector 588
Functions, analytic 296
Functions, even and odd 376
Functions, orthogonal 91
Fundamental theorem of calculus 643
funfun 239
funm 181
FUNTOOL 668
fzero 582 583
Gamma 334 668
Gamma function 331 342
Gauss' flux theorem 695
Gauss, Karl Friedrich 687
Gaussian elimination 135 137
Geometric series 287
Gibbs phenomenon 393 725
ginput 20 540
Gradient 612
Gram — Schmidt process 85 365
Gravitational constant 607
Green's theorem 683
grid 20 549
gtext 215 224
Half-wave symmetry 380
Heat equation 717 732
Heaviside 431
Heaviside expansion 425
Heaviside unit step 420
Heisenberg's uncertainty principle 193
Helmholtz's theorem 624
help 4 9 23
helpwin 9
Hermite's differential equation 329
Hermitian operator 193
Hermitian transpose 172
Hilbert matrix 138
hold 18
Homogeneous transformation 144
Hooke's law 564
Hyperbolic functions 342
IEEE floating-point 51
if 27 279
ifft 519 541
ILAPLACE 431 433
Improper integral 650
Impulse function 439 541
Independence of path 681
Infinite series 282 284
Initial value problem 212
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