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Harman T.L., Dabney J.B., Richert N.J. — Advanced Engineering Mathematicas with MATLAB
Harman T.L., Dabney J.B., Richert N.J. — Advanced Engineering Mathematicas with MATLAB



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Название: Advanced Engineering Mathematicas with MATLAB

Авторы: Harman T.L., Dabney J.B., Richert N.J.

Язык: en

Рубрика: Руководства по программному обеспечению/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd ed

Год издания: 2000

Количество страниц: 750

Добавлена в каталог: 18.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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, $e^{A}$      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 $\epsilon_{0}$      695
Permittivity of free space $\epsilon_{0} = (1/36\pi) \times 10^{-9}$ 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
1 2 3
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