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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
315 343
224 320
23
22
&* 20 324 337
(D@@n), (f) (x) 102
(simplify@diff) 102
* 19
+ 19
+/- toggle switch 17
- 19
/ 19
: 32
:= 31 92 243
< 82
<= 82
<> 82
> 82
>= 82
? 12 33
?, contourplot 58
?, factor 27
?, linalg 311
?, LinearAlgebra 311
?, options 58
?, Pdetools 518
?, plot 12 41
?, plot [options] 43
?, plot3d 58
?, plots 12
?, simplex 373
?, solve 73
?, spacecurve 67
@ 25 46
@@ 47 245 297
abs 23 24 304
Algebraic operations 27
Alternating series 174
Alternating Series Test 174
Amortization 262
animate 100 107 285 522
animate3d 527 534
Animation 100 527 534
Annuities, annuity due 257
Annuities, deferred 260
Annuities, future value 256
Annuities, present value 259
Annuity 273
Antiderivatives 131
Antidifferentiation 131
Approximating arc length 154
Approximating definite integrals 144
Approximating lists 274
Approximating periodic function by Fourier series 285
Approximating periodic function by Fourier series, points of intersection 149
Arc length 154
Arc length, approximating 154
Arc length, function 384
Arc length, parametric equations 156
Arc length, polar coordinates 157
ArcCos 23 24 44
ArcCosh 23
arccot 23
arccsc 23
arcsec 23
arcsin 23 24 44
ArcSinh 23
arctan 23 45
ArcTanh 23
Area 134 148 214
Array 223 238 243 312 316 467
arrow 333 335 408
ASSIGN 276 382 536
Associated matrix 342 356
assume 29 38 155
Astroid 151
Asymptotes 49
Augmented matrix 342
Autonomous systems 504
Axes, Normal 60
BackwardSubstitute 345
Basic How To 14
Basins of attraction 300
Beam problem 124
Bendixson's theorem 507
Bessel functions 244 289 525 529
besseli 289
BgssglJ 244 526 531
Bifurcation diagrams 235
Butterfly 56
Calculus, Fundamental Theorem of 139
Catalan 23
Catalan's constant 23
Chain rule 110
changevar 133 144
Characteristic equation 444 460
Characteristic polynomial 360
CharacteristicPolynomial 361 367
Characteristics, method of 534
circle 65 390
Circle unit 52
Circle, graphing 62
Circle, osculating 389
Circuits, L-R-C 481
Circular membrane 528
Circular plate, normal modes 289
Circular plate, wave equation on 289
Clearing definitions 33 92
Clothoid 54
Coefficient matrix 342
Coefficients, undetermined 452 463
Cofactor matrix 326
Cofactor matrix, transpose of 326
Color, Graylevel 60
column 320 336 343
Column space 349
ColumnOperation 344
ColumnSpace 349
combine, expression,trig 25
combine, trig 25 99
Command clear 33 92
command-Q 6
Commands, long form 9
Commands, short form 9
completesquare 219
Composition operator 25
Composition operator, repeated 47 245 297
Compound amount 254
Compound interest 96 254
Computing limits 93
Conic sections 65
Conjugate transpose 369
Conservative vector field 391 393
constants, built-in 22
Constants, Catalan 23
Constants, exp(l) 22
Constants, gamma 23
Constants, I 22 74
Constants, Infinity 23 95
Constants, Pi 22
Contour plots 57
contourplot 58 60 79 114 191 207 394 434
contourplot, color 59
ContourPlot, Contours 62 198
contourplot, grid 59
contourplot, scaling 59
Convergence tests 170
convert, expression, par frac, variable 29
convert, expression,form 25
Convert, parfrac 168 420
Convert, polynom 182
Convolution integrals 480
Convolution theorem 480
Cooling, Newton's law of 425
Cornu spiral 54
cos 23 44
cosh 23
cot 23
Cramer's rule 458 470
Critical number 116
Critical points 116 201
Critical points, classifying 201
Critical points, degenerate 202
CrossProduct 331 408
Csc 23
Curl 393 395 403
Curvature 384 389
Curve-fitting 274
Curve-fitting with trigonometric functions 280
Curves, plane 384
Curves, smooth 156
Curves, space 384
Cycloid 112
Cylinder, inscribed in sphere 127
D 102 119 194
D, (f) (x) 102
D, [1] (f) (x,y) 194
D, [2] (f) (x,y) 194
Damping 448 505
Deferred annuities 260
defining functions 33 57
Defining lists 223
Defining matrices 312
Defining vectors 318
Definite integrals 139
Definite integrals, approximating 144
Delayed evaluation 41
denom 95
denom fraction 30
DEplot 489 491 493 507
Derivatives, calculating 102
Derivatives, definition 98
Derivatives, directional 196
Derivatives, first derivative test 116
Derivatives, first properties 116
Derivatives, mean-value theorem 115
Derivatives, oscillating 121
Derivatives, partial 193
Derivatives, second derivative test 117 202
Derivatives, second properties 116
DET 458 471
Determinan 1322 324 327
Determinants 322
DEtools 11
DEtools, DEplot 489 491 493 507
DEtools, matrixDE 487 501
DEtools, odeadvisor 433 435
DEtools, varpar 458
DEtools, varparam 470 473
diff 76 102 105 193 209 393
diff, f(x) ,x 102
diff, f(x) ,x$n 102
diff, f(x,y) , n,y \ 194
diff, f(x,y) ,x 193
diff, f(x,y) ,x$n 194
diff, f(x,y) ,x,y 193
diff, f(x,y) ,y 193
Difference quotient 98
Differential calculus 98
Differential equations, first-order, exact 433
Differential equations, first-order, homogeneous 423 435
Differential equations, first-order, linear 422
Differential equations, first-order, nonlinear 433
Differential equations, first-order, particular solution 423
Differential equations, first-order, separable 417
Differential equations, first-order, standard form 423
Differential equations, heat equation 286
Differential equations, higher-order linear, characteristic equation 460
Differential equations, higher-order linear, constant coefficients 460
Differential equations, higher-order linear, fundamental set of solutions 460
Differential equations, higher-order linear, general solution 460
Differential equations, higher-order linear, homogeneous 460
Differential equations, higher-order linear, Laplace transform method 473
Differential equations, higher-order linear, linearly dependent solutions 460
Differential equations, higher-order linear, linearly independent solutions 460
Differential equations, higher-order linear, standard form 460
Differential equations, higher-order linear, undetermined coefficients 463
Differential equations, higher-order linear, variation of parameters 469
Differential equations, linear systems 487
Differential equations, linear systems, fundamental matrix 487
Differential equations, linear systems, general solution 487
Differential equations, linear systems, homogeneous 487
Differential equations, linear systems, Laplace transform method 496
Differential equations, linear systems, particular solution 487
Differential equations, nonhomogeneous linear systems 498
Differential equations, nonhomogeneous linear systems, fundamental matrix 498
Differential equations, nonhomogeneous linear systems, particular solution 498
Differential equations, nonhomogeneous linear systems, variation of parameters 498
Differential equations, nonlinear higher-order 486
Differential equations, nonlinear systems 502
Differential equations, nonlinear systems, autonomous 504
Differential equations, nonlinear systems, linearization 504
Differential equations, partial, almost linear 534
Differential equations, partial, characteristic system 535
Differential equations, partial, first-order quasi-linear 534
Differential equations, partial, homogeneous 534
Differential equations, partial, linear 534
Differential equations, partial, method of characteristics 534
Differential equations, partial, one-dimensional wave 519
Differential equations, partial, two-dimensional wave 524
Differential equations, second-order linear, associated set of functions 452
Differential equations, second-order linear, characteristic equation 444
Differential equations, second-order linear, constant coefficients 444
Differential equations, second-order linear, fundamental set of solutions 444
Differential equations, second-order linear, general form 443
Differential equations, second-order linear, general solution 443
Differential equations, second-order linear, homogeneous 443
Differential equations, second-order linear, linearly independent solutions 444
Differential equations, second-order linear, standard form 443
Differential equations, second-order linear, undetermined coefficients 452
Differential equations, second-order linear, variation of parameters 457
Differentiation, implicit 105
Differentiation, rules 102
Dirac 484
Dirac delta function 484
Directional derivatives 196
Display 9 13 41 79 248 390
display, insequence 359 497
display, scaling 113
Divergence 392 396 402
Divergence of series, test 170 171 175
Divergence of vector field 391
Divergence theorem 401
Division by zero 32
DO 534
Domain, finding 82
dotprod 197 382
DotProduct 331
Double pendulum 494
Doubleint 212
Drumhead 527
DSOLVE 417 420 426 430 445 454 459 461 469 489 501 535
dsolve method 483 496
dsolve, numeric 437 441 502 515
Dual 376
Dual problem 375
Duffing's equation 505
Dynamical systems 232 245 294
Dynamical systems, 2-cycle 233
Dynamical systems, 4-cycle 233
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