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Braselton J.P. — Maple by Example
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Название: Maple by Example
Автор: Braselton J.P.
Аннотация: Maple by Example, Third Edition, is a reference/text with CD for beginning and experienced students, professional engineers, and other Maple users. This new edition has been updated to be compatible with the most recent release of the Maple software. Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear algebra, business mathematics, ordinary and partial differential equations, numerical methods, graphics and more. The CD-ROM provides updated Maple input and all text from the book.
* Updated coverage of Maple features and functions
* New applications from a variety of fields, including biology, physics and engineering
* Backwards compatible for all previous Maple version
* More detail in its step-by-step examples
Язык:
Рубрика: Технология /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Издание: 3rd Edition
Год издания: 2005
Количество страниц: 568
Добавлена в каталог: 26.02.2008
Операции: Положить на полку |
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Предметный указатель
e 22 24
Eigenvalue problem 520
Eigenvalues 360 370
Eigenvectors 360 361
eigenvects 488 490 492
elif 39 282 475
Elimination, Gauss — Jordan 342
ellipse 65
Ellipsoid 70
Elliptical torus 69
END 38
end proc 38
Enter 4 20
Equations 73
Equations, graphing 60
Equations, recurrence 269
Equations, solving, approximate solutions 84
Equations, solving, complex solutions 86
Equations, solving, exact solutions 73
Equations, solving, linear systems 77 336
Equations, solving, nonlinear systems 79 88 see
Equilibrium point 504
erf 140
Error function 140
Euler's constant 23
eval 31 93
evalb 249
evalf 20 31 80 88 145 157 212
evalf, expr, n 20
evalf, int 147 150 157 286 526
evalf, number 21 136
evalf, sum 173
evalM 312 314 324
evaluating expressions 31
Evaluating functions 33
exact differential equations 433
Execution Group 7
EXP 23 24 25
exp, (1) 25
expand 25 27 99 463
expand, expression 25 27
Exponential function 22 24
Exponential growth 425
Export As 7
expressions, evaluating 31
Extracting columns of matrices 320
Extracting elements of matrices 320
Extracting rows of matrices 320
extrema 211
Factor 27 30 95 445 461
factor, expression 27 461
Factorial sequences 164
fi 38
fieldplot 394 421 440
File, Export As 7
File, Quit 6
File, Save 6
finance 11 253 273
finance, annuity 273
finance, growingannuity 273
finance, growingperpetuity 273
Financial planning 267
First Derivative Test 116
fit 274 279 280
Flux, outward 402
Folium of Descartes 385
for 244 283
Force, damping 448
Force, resistive 429
Force, resultant 429
Fourier series 281
Fourier series, approximating periodic function by 285
Fourier sine series 521
Free-falling bodies 428
FresnelC 54 400
FresnelS 54 400
fsolve 43 80 84 149 273 431
fsolve, complex 84
fsolve, eqn,x 84
fsolve, eqn,x,a. .b 84 290
fsolve, fulldigits 188
Functions of single variable 33
Functions of single variable, graphing 40
Functions of two variables 57
Functions of two variables, limits of 190
Functions, approximating lists with 274
Functions, arc length 384
Functions, Bessel 244 289 525 529
functions, built-in 23
Functions, continuous but not differentiable 188
functions, defining 33 57
Functions, Dirac delta 484
Functions, evaluating 33
Functions, implicit, tangent lines of 109
Functions, inverse 46
Functions, periodic, approximating by Fourier series 285
Functions, piecewise-defmed 37
Functions, polar 51
Functions, potential 391
Functions, recursively defined 38
Functions, vector-valued 196 384
Fundamental matrix 487 498
Fundamental set of solutions 444 460
Fundamental theorem of calculus 139
Fundamental theorem of line integrals 397
future value 256
Gabriel's horn 162
Gamma 23
Gauss — Jordan elimination 342
Geometric series 169
grad 196 200
Gradient 196 391
gradplot 201 395
gradplot3d 396
Gram — Schmidt process 352
GramSchmidt 353
GramSchmidt, normalized 353 354
Graphics array 100
Graphing lists 227 247
Graphing, approximating intersection points 149
Graphing, equations 60
Graphing, functions of a single variable 40
Graphing, parametric and polar plots in two dimensions 51
Graphing, parametric curves and surfaces in space 66
Graphing, three-dimensional and contour plots 57
Graphing, unit circle 62
Gravity 429
Gray's torus 69
GrayLevel 60
Green's theorem 398
growingannuity 273
growingperpetuity 273
Growth constant 425
H 236
Harmonic motion 448
Harmonic motion, critically damped 449
Harmonic motion, overdamped 449
Harmonic motion, underdamped 449
Harmonic series 172
Harmonic series, alternating 175
Heat equation, one-dimensional 286
Heaviside 474 478
help 13
Help browser 9
Help, Basic How To 14
Help, New Users 14
Help, New Users, Quick Tour 14
Hermite polynomials 236
Hermitian adjoint matrix 369
Hidden Line 60
homogeneous differential equations 423 435 443 460 487 534
Homogeneous differential equations, corresponding 423
Hooke's law 448
Hyperbola 65
Hyperboloid of one sheet 71
Hyperboloid of two sheets 71
i 22 74
Iaplace 474 483 485
icosahedron 11
Identity 81 454
Identity matrix 317
IdentityMatrix 317
if 38
Ikeda map 300
Immersions 413
Implicit differentiation 105
implicitplot 63 219
implicitplot, color 64 66
implicitplot, grid 64 66
implicitplot, scaling 66
implicitplot3d 72 395
implicitplot3d, axes 72
implicitplot3d, grid 72
implied, tdiff 105 111
Improper integrals 140
index packages 9
inequal 376
Inequalities, solving 82
Infinite series see Series infinite
infinity 23 95
Inflection points 116
Insert Execution Group 7
Insert Subsection 16
int 133 172 212 215 220 237 385
int, f(x) ,x 131
int, f(x) ,x=a. .b 53 139 144 see
Integral calculus 134
Integral test 170 172
Integrals, convolution 480
Integrals, iterated 212
Integrals, iterated, triple 220
Integrals, line 397
Integrals, line, fundamental theorem of 397
Integrals, logarithmic 229
Integrals, surface 401
Integrate 172 212 385 405 420 427 471 see
Integrating factor 424
Integration by parts 144
Integration by parts, formula 132
Integro differential equations 481
Interest compound 96 254
Interest total paid on loan 264
interp 276
Intersection points of graphs 149
intparts 144
inttrans 474
inttrans, invlaplace 474 483 485
inttrans, laplace 474 483 485
Inverse 313
Inverse functions 46
invlaplace 474 483 485
Irrotational vector field 393
Iterated integrals 212
Iterated integrals, triple 220
ithprime 228
Jacobian 505 509
Jacobian matrix 505 515
Jordan block matrix 365
Jordan canonical form 366
Jordan Matrix 366
JordanForm 366
Julia sets 250 296
Kernel 356
Klein bottle 413
l'Hopital's rule 171
L-R-C circuits 481
Lagrange multipliers 208
Lagrange's theorem 208
Laplace transform 473 496
Laplace transform, inverse 474
Laplace transform, inverse, of product of two functions 480
Laplacian 392 396
Laplacian in polar coordinates 289
leftbox 135
leftsum 135 145
Lemniscate of Bernoulli 152
LIMIT 32 98 138 167
Limit Comparison Test 170 174
Limit cycle 517
limit, f(x) ,x=a 91 94
limit, f(x),x=a,left 96
limit, f(x),x=a,right 96
limit, left 96 99
limit, right 96 99
Limits 91
Limits of functions of two variables 190
Limits, computing 93
Limits, graphs and tables to predict 91
Limits, one-sided 96
linalg 11 311 318
linalg, det 458 471
linalg, dotprod 197 382
linalg, eigenvalues 506 509
linalg, eigenvects 488 490 492
linalg, grad 196 200
linalg, inverse 313
linalg, jacobian 505 509
linalg, multiply 379
linalg, norm 197
linalg, wronskian 458 471
Line integrals 397
Line integrals, fundamental theorem of 397
Linear differential equations, first-order 422
Linear differential equations, nth-order 460
Linear differential equations, partial 534
Linear differential equations, second-order 443
Linear differential equations, standard form 423 443 460
Linear programming 372
Linear programming, dual problem 375
Linear programming, standard form of problem 372
Linear systems 77 336
Linear transformations 355
Linear transformations, kernel 356
LinearAlgebra 11 311 318
LinearAlgebra, BackwardSubstitute 345
LinearAlgebra, CharacteristicPolynomial 361 367
LinearAlgebra, Column 320 336 343
LinearAlgebra, ColumnOperation 344
LinearAlgebra, ColumnSpace 349
LinearAlgebra, CrossProduc 1331 408
LinearAlgebra, Determinant 322 324 327
LinearAlgebra, DotProduct 331
LinearAlgebra, Eigenvalues 361 372
LinearAlgebra, Eigenvectors 361
LinearAlgebra, GramScnmidt 353
LinearAlgebra, GramScnmidt, normalized 353 354
LinearAlgebra, IdentityMatrix 317
LinearAlgebra, LinearAlgebra, JordanForm 366
LinearAlgebra, LinearProgramming 378
LinearAlgebra, LinearSolve 336 338
LinearAlgebra, Matrixlnverse 314 322 324 336
LinearAlgebra, MatrixPower 315 325
LinearAlgebra, MinimalPolynomial 366
LinearAlgebra, Multiply 324 337
LinearAlgebra, Normalize 332 387 394
LinearAlgebra, NullSpace 348 349 356
LinearAlgebra, Qrdecomposi tion 369
LinearAlgebra, ReducedRowEchelonForm 327 336 343 349
LinearAlgebra, Row 320
LinearAlgebra, RowOperation 336 344
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