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                    | Harman T.L., Dabney J.B., Richert N.J. — Advanced Engineering Mathematicas with MATLAB |  
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                    | Предметный указатель |  
                    | | Inner product      76 inner product of functions      89
 Input      13
 Input function      212
 int      90 181 399 668—669 725
 Integral test      287
 Integrating factor      212
 Integration by parts      644
 Integration, two dimensional      669
 Interp1      352
 interp2      570
 Interpolation      351
 Interpolation, polynomial      351
 Interpolation, spline      354
 INV      118 132 135
 Inverse discrete Fourier transform (IDFT)      513
 Irrotational field      620 622
 Iterated integrals      651
 IZTRANS      487
 Jacobian      556 657
 Joint probability      666
 Jordan Matrix      188
 Keyboard      30
 kron      539
 Kronecker delta      77
 Lagrange multipliers      586—587
 Laguerre's differential equation      329
 Laplace      431 433 668
 Laplace and Fourier transforms      452
 Laplace and Z-transforms      481
 Laplace expansion      114
 Laplace transform      417
 Laplace transform, applications to differential equations      434
 Laplace transform, existence      422
 Laplace transform, inverse      423
 Laplace transform, properties      420
 Laplace transform, stability in the s domain      450
 Laplace's equation      621 717 720
 Laplace's equation, cylindrical coordinates      727
 Laplace's equation, rectangular coordinates      721
 Laplace's equation, spherical coordinates      730
 Laplacian      621
 Laplacian, curvilinear coordinates      632
 LATEX      20
 Least-squares curve fitting      356
 legend      20 549
 legendre      335
 Legendre (Fourier) series      363
 Legendre polynomials      93 334
 Legendre's differential equation      329 731
 Legendre's function of the second kind      335
 Length      29
 Level set      548
 LIMIT      551
 Limit test      285
 Line integral      670
 Linear approximation      561
 Linear functions and eigenvectors      165
 Linear independence      81
 Linear transformations      139
 Linear transformations, matrix representation      140
 Linear transformations, rotations      142
 Linearity      139
 Linearity, homogeneous property      490
 Linearization      563
 linspace      18 549 574
 Load      4 16
 Logendre's associated differential equation      335
 loglog      549
 logm      181
 logspace      18 549
 lookfor      9
 lu      124 137
 LU factorization      123 135
 MATLAB, breakpoints      30
 MATLAB, commands for discrete systems      487
 MATLAB, commands for vector calculus      609
 MATLAB, complex numbers      59
 MATLAB, computer numbers      49
 MATLAB, curvilinear coordinates      594
 MATLAB, debugging      29 36
 MATLAB, determinants      118
 MATLAB, DFT      519
 MATLAB, differential equation particular solution      232
 MATLAB, differential equations      306
 MATLAB, differentiation      572
 MATLAB, display      15
 MATLAB, efficiency      30
 MATLAB, eigenvalues      174
 MATLAB, eigenvalues and eigenvectors      176
 MATLAB, eigenvectors      174
 MATLAB, eps      52 609
 MATLAB, functions      22
 MATLAB, graphics      17
 MATLAB, Greek letters      20
 MATLAB, Help desk      9
 MATLAB, Help window      9
 MATLAB, integration      90 667
 MATLAB, interpolation      352
 MATLAB, Jacobians      559
 MATLAB, Laplace transforms      431
 MATLAB, LaTeX      20
 Matlab, least squares      358
 MATLAB, M-file Editor/Debugger      24
 MATLAB, M-files      6 22 24
 MATLAB, matrix functions      181
 MATLAB, matrix inverse      118
 MATLAB, matrix operations      107
 MATLAB, partial differential equations      724
 MATLAB, plotting      15
 MATLAB, polynomials      161
 MATLAB, program design      35
 MATLAB, programming      25
 MATLAB, programs      22
 MATLAB, solution of systems of linear equations      135
 MATLAB, solutions of systems of differential equations      238
 MATLAB, solutions to differential equations      224
 MATLAB, spline interpolation      355
 MATLAB, structure      4
 MATLAB, subfunctions      24
 MATLAB, syntax errors      29
 MATLAB, Taylor series      295
 MATLAB, testing      37
 MATLAB, transpose      71
 MATLAB, variables      9
 MATLAB, vectorizing      29
 MATLAB, vectors      71
 Matrix,
  181 Matrix, addition      103
 Matrix, calculus      180
 Matrix, cofactor      114
 Matrix, complex      172
 Matrix, condition number      137
 Matrix, diagonal      109
 Matrix, diagonalizable      187
 Matrix, differentiation      180
 Matrix, eigenvalue properties      170
 Matrix, eigenvalues      162
 Matrix, eigenvectors      162
 Matrix, exponential      186
 Matrix, hermitian      190 192
 Matrix, identity      110
 Matrix, ill conditioned      137
 Matrix, integral      180
 Matrix, inverse      116
 Matrix, Jordan      188
 Matrix, lower triangular      121
 Matrix, LU factorization      123 135
 Matrix, minor      114
 Matrix, multiplication      103
 
 | Matrix, orthogonal      119 190 Matrix, orthogonally diagonalizable      191
 Matrix, partitioned      179
 Matrix, polynomial      180 185
 Matrix, properties      102 105 117
 Matrix, QR decomposition      176
 Matrix, rank      129
 Matrix, similar      187
 Matrix, singular      116
 Matrix, square      109 117
 Matrix, symmetric      111 190
 Matrix, transpose      106
 Matrix, unitary      190 192
 Matrix, upper triangular      121
 Maxwell's equations      628 698
 mesh      549 570
 meshc      21 549
 meshgrid      21 549 570
 Method of sections      567
 Modal matrix      187
 Modulus      55
 more on      239
 Multiple integrals      655
 Neumann condition      720
 Neumann's function      333
 Newton's gravitational law      606
 Newton's Laws      564
 nextpow2      519
 nnls      350
 Norm      72
 Norm of a function      89
 Norm of a vector      70
 Notation, derivatives      208
 Notation, MATLAB      4
 num2str      20 568
 numeric      725
 Numerical integration      667
 Nyquist frequency      497 524
 ode113      310
 Ode15s      310
 ode23      204 238 241 262 279 306 310
 ode23s      310
 ode45      204 238 306 310
 odeset      306—111
 Ohm's law      564
 ones      110
 Optimization      586 599 617
 Orthogonal functions      91 364
 Orthogonal polynomials      337 361
 Orthogonal transformation      120
 Orthogonal vectors      65 76
 Orthonormal vectors      76
 Parse val's theorem      385 399
 Parseval's equality      365
 Partial Differential Equation Toolbox      724
 Partial differential equations      206 715
 Partial differential equations, classification      716
 Partial differential equations, heat equation      732
 Partial differential equations, Laplace's equation      720
 Partial differential equations, MATLAB solutions      724
 Partial differential equations, separation of variables      718
 Partial differential equations, wave equation      733
 Partitioned matrix      179
 pause      30
 periodic extension      515
 Permeability      699
 Permittivity
  695 Permittivity of free space
  farads/meter      608 Picket fence effect      530
 Planck's constant      193 338
 plot      17—18 40 549
 plot3      549
 plotyy      549
 Poisson's equation      700
 pol2cart      594
 polar      549 594
 Polar coordinates      555
 POLY      174
 polyder      350 431 572 574
 polyfit      350—352 359
 polyfun      350
 Polynomial interpolation      351
 Polynomials      159
 polyval      350 352 359 574—575
 Power series      290
 Power series, derivative of      295
 Power series, integral of      295
 PRETTY      239
 Principal axis theorem      191
 print      18
 Profile      31
 Programming      31
 Projections      66
 qr      177
 QR decomposition      176
 quad      90 667—668
 quad8      667—668
 Quadratic equation discriminant      222
 Quadrature      667
 quit      7 9
 quiver      609 614
 rand      110—111 122 476
 randn      527
 Range of a function      141 546
 Rank      132
 Ratio Test      286
 Rational approximation      283
 Rats      118
 Real numbers      46
 Relaxation time      708
 Residue      431—432 487
 residuez      487
 Resonance      230
 RETURN      30
 Riemann integration      642
 Robotics      142
 Roots      161 174 204 225—226 431 487
 Rotations in the plane      142
 Row vectors      66
 RREF      132
 rrefmovie      132 134
 RSUMS      668
 Runge function      352
 Runge — Kutta method      301
 Sampled-data system      481
 Sampling of a signal      524
 Sampling theorem      524
 SAVE      4
 Scalar fields      605
 Scalar potential      616
 Schrodinger's Equation      338
 Second Derivative Test      579
 semilogx      549
 Separation of variables      718
 Sequences      283
 Signal analysis      523
 Signal Processing Toolbox      2 390 412 480
 Signal smoothing      475 477
 Signum function      53
 Similarity transformation      187
 SIMPLE      204 239
 Simple curve      673
 Simply connected region      683
 sin      37 39
 sinc      390
 Sine function      390
 Slice      549
 Smooth curve      673
 Smooth surface      683
 Solenoidal field      619 624
 
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