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Abell M.L., Braselton J.P. Ч Mathematica by Example
Abell M.L., Braselton J.P. Ч Mathematica by Example

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Ќазвание: Mathematica by Example

јвторы: Abell M.L., Braselton J.P.

јннотаци€:

Updated to be completely compatible with Mathematica version 3.0; designed for Mathematica beginners: a valuable addition to ANY Mathematica user's library; new applications from a variety of fields, especially biology, physics, and engineering, are included throughout the text; additional examples, especially in chapters one through six, should make this edition even more useful to instructors, students, business people, engineers, and other professionals using Mathematica on a variety of platforms; Step-by-step instructions for all Mathematica implementations; and CD-ROM Enclosed! All Mathematica input that appears in the book is included on the enclosed CD-ROM, which will operate on Macintosh, Windows 3.1.1 and 95, and UNIX machines with Mathematica 3.0 installed.


язык: en

–убрика: –уководства по программному обеспечению/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: revised edition

√од издани€: 1994

 оличество страниц: 523

ƒобавлена в каталог: 11.12.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
! (Factorial)      6 109 177 178 190
$DisplayFunction      58 61 62 80 325 438 445 446 449 454 457 460 469 475 483 484 486 487 489 492 494 496 502 508
$Version      2
$VersionNumber      2
% (Out)      150 266 270 271
&& (And)      194 270 412
' (Derivative)      110 111 113 119
(*...*)      319
(...)      4 25 26 43 84 103
* (Times)      4 11 24 40 41
+ (plus)      24 305
++ (Increment)      270
- (Minus)      24 305
-> (Rule)      42 43 44 49 51 52 135 137 144 182 211 218 234 361 431 434 437 439 444 446 458Ч460 477
. (dot)      304Ч310 312 319 322 325 329 330 362
/ (Divide)      24 41 43 84 319 352 397
/ . (ReplaceAll)      42 43 44 49 51 52 135 137 144 182 183 190 193 195Ч197 211 213 218 234 238 284 361 368 371 374 376 378 386 390 400 402 412 415 417 420 422 431 434 437 439 444 446 452Ч457 458 459 477
// (function application)      26Ч28 34 36 38 53 88 89 138 154 156 176 179 181 182 190 202 240 251 253 255 257 259 260 263 265 267 269 305 308 317 320 322 334 335 337 346 366 380 382 393 396 403 420 422 431 452 453 456 463 472Ч474 479 488 489
/; (Condition)      62Ч64 122 125 286 428 430 436
/@ (Map)      251
:= (SetDelayed)      46 52 55 63 64 122 125 151 153 190 198 199 232 247 249 253 263 270 273 276 286 288 290 291 304 307 319 320 325 336 375 377 389 408 423 424 428 430 436 442 444 454 457 460 463 466Ч468 471Ч475
<= (LessEqual)      62Ч64 286 338Ч340 345 428 430
= (Set)      42 43 45 46 48 50 53 56 58 61 65 66 68 73 82 169 202 232 469
== (Equal)      84Ч89 92Ч96 116 120 127 128 135 137 138 140 142 145 146 163 164 173 181 183 210 217 224 225 310Ч312 329 365 370 372 378 386 393 400 406 412 416 422 445 447 453Ч457 493
>= (GreaterEqual)      62Ч64 122 340 345 436
>> (Put)      466
?      8 11 12 46 56 180 220
?? (Information)      10 67 70 75
@@ (Apply)      251 252
Abbreviated output (Short)      95 240 241 374 377 395 399 504
abs      29
Absolute value (Abs)      29
Absolute value (Abs), complex number      29
AccountingForm      267 268
Adding elements to lists      251 325
Algebra see SymbolicSum      see Trigonometry
Amortization      259
Animation      133 273 276 292 461 464 469 502 507 508
Annuity due      255
Apart      41 44 367
APPEND      251
AppendRows      314
appendto      251 320 325
Applied maxima and minima      134Ч141
Apply (@@)      250Ч252
Approximating arc length      166
Approximating area      149Ч156 162Ч166
Approximating double      219 220
Approximating eigenvalues      330
Approximating eigenvectors      330
Approximating integrals (NIntegrate)      161 162
Approximating numbers (N)      25Ч27
Approximating QR Method      336 337
Approximating solutions of a polynomial equation (NRoots)      88 89 90 91
Approximating solutions of a system of equations (FindRoot)      92
Approximating solutions of an equation (FindRoot)      88Ч99
Approximating solutions of an ordinary differential equation (NDSolve)      375Ч377 406Ч410
Approximating solutions to a system of differential equations (NDSolve)      451Ч457
Approximating triple      226
Approximating volume of solid of revolution      167Ч172
Arc length      166
ArcCos      28 34 35
ArcCosh      34 38 39
arccot      28 34
ArcCoth      34
arccsc      28 34
ArcLengthFactor      348
arcsec      28
ArcSech      34
arcsin      28 34 35
ArcSinh      34 38
arctan      28 34 35 180
ArcTanh      34 38
Area      162Ч164
Area, approximating      149Ч156 162Ч166
Area, polar coordinates      487Ч489
Arithmetic calculations      23Ч26
Array      230 231
Arrays      229Ч235
Arrays, computations with      304Ч308
arrays, defining      230 296Ч300
Arrays, extracting elements of (Part)      236Ч240 300Ч304
AspectRatio      59 60 62 64 497 498
Associated matrix of a linear transformation      322
Augmented matrix      313
AUTOMATIC      60 64 149 153 428 430
Autonomous system      450
Auxiliary equation      391 401 402
axes      59 71 73 87 93 143 146 149 153 201 215 216 223 243 351 365 369 460 475
AxesLabel      59
AxesOrigin      60 71 73 87 93 143 146 149 188 201 215 216 223 365 369
Bar charts      490 491 495
BarChart, BarLabels      490
BarChart, BarStyle      490
BarChart3D      495 496
BarLabels      490
BarStyle      490
Bessel function of the first kind (BesselJ)      472Ч474
Bessel function of the first kind (BesselJ), graphing      465
Bessel function of the first kind (BesselJ), zeros of      236 466Ч468 471
besselj      465 466 468 472Ч474
Bipolar      348
BOXED      351 475 501 502 505 508
BoxRatios      67 475
Calculus      see DiracDelta see see see see
cancel      41 44 334 367 403 433
cartesian      348 351
CartesianMap      482Ч484
Catalan      27
Cauchy-Euler equation      401
Cauchy-Euler equation, auxiliary equation      401 402
Center      444 450
Chain rule      112
Characteristic equation      326 391
Characteristic matrix      326
Characteristic polynomial      326 327 333 334
Characteristic value      326
CharacteristicPolynomial      326 327
Charts bar      490 491 495
Charts pie      491 492
Chop      331 448 472 473
Circumscribed rectangles      149 153
clear      45 46 63Ч65
ClipFill      479
Coefficient matrix      308 313
COLLECT      367
Column space      316 317
Column vector      299 300
CombinatorialSimplification Factorial (!)      6 109 177 178 190
compile      474 475
Compiled      449 453 454 456 457
CompiledFunction      475
Complete Selection      13
Complex conjugate      392
Complex-valued function image      482Ч484
ComplexExpand      54 180 393
ComplexMap, CartesianMap      482Ч484
ComplexMap, PolarMap      482Ч484
composition      52Ч54
Composition of functions, Composition      52Ч54
Composition of functions, Nest      52 54 55
Compound interest      252Ч254
Concave, down      119
Concave, up      119
Condition (/.)      62Ч64 122 125 286 428 430 436
Conic sections, circle      61 64 493
Conic sections, ellipse      494 495
Conic sections, graphing      61 64 493Ч495
Conic sections, hyperbola      493Ч495
Conic sections, parabola      494 495
Conjugate transpose      334
Conservative vector field      347
Conservative vector field, potential function      347
Constants, Catalan      27
Constants, E      27
Constants, EulerGamma      27
Constants, GoldenRatio      27
Constants, I      27
Constants, Infinity      6 27 101 108 154 156 174Ч179 181 183
Constants, Pi      27
ConstrainedMax      338 340
ConstrainedMin      338 339 341 345
ContourPlot, Axes      71 73 143 146 149 201 216 223 365 369
ContourPlot, AxesOrigin      71 73 143 146 149 201 216 223 365 369
ContourPlot, Contours      71 73 87 93 143 146 149 216 223 369 371
ContourPlot, ContourShading      71 72 73 87 93 143 146 149 201 216 223 365 369 371
ContourPlot, DisplayFunction      73 87 93 201 216
ContourPlot, Frame      71 73 143 146 149 216 223 365 369
ContourPlot, options      70
ContourPlot, PlotPoints      71 73 87 93 143 146 149 216 223 369 371
ContourPlot, PlotRange      73 216 371
contourplot3d      485 486
ContourPlot3D, ContourPlot3D      485 486
ContourPlot3D, Contours      485
contours      71 72 87 93 143 146 149 216 223 369 371 485
ContourShading      71 72 74 87 93 143 146 149 201 216 223 365 369 371
Convolution integral      435
Convolution theorem      435
CoordinatesFromCartesian      348
CoordinatesToCartesian      348
cos      12 28 31Ч33 248
cosh      36 37
Coslntegral      158
cot      28
COUNT      240
Critical points      116 210
Critical points, classification      209 237 238
Critical points, degenerate      209 211
Critical points, maximum      209 211
Critical points, minimum      209 211
Critical points, saddle      209 211
CrossProduct      348
Csc      28
cube      500
Curl      347 349 350
Curve-fitting      277Ч285
Cyclotomic      232 233
Cyclotomic polynomials      232
cylindrical      348
D      110Ч113 138 147 190 193 204Ч208 210 211 213 217 234 247 370 388 389 394 396
Dashing      55 58 60 106 108 124 125 127 163 164 166 188 191 192
Decreasing      119
Deferred annuity      258 259
defining arrays      296Ч300
Defining functions of a single variable      45Ч47
Defining functions of two variables      48
Defining functions, piecewise-defined      62Ч64 122 125 286 428 430
Defining functions, recursively defined      63 64 198 199 232 286 336 423 424 428 430
Defining functions, vector-valued      49 50
Defining functions, which remember the values computed      198 199 232 290 320 336 423 424 468 472Ч474
Defining lists      229Ч233
Defining matrices      296Ч300
Defining tables      296Ч300
Defining vectors      300
Degenerate critical point      209
Delayed evaluation (:=)      46 52 55 63 64 122 125 151 153 190 198 199 232 247 249 253 263 270 273 276 286 288 290 291 304 307 319 320 325 336 375 377 389 408 423 424 428 430 436 442 444 454 457 460 463 466Ч468 471Ч475
Denominator      42 44 104
Derivative      206Ч209
Derivative, applied maxima and minima      134Ч141
Derivative, calculating      110Ч112
Derivative, chain rule      112
Derivative, critical point      116 209Ч211
Derivative, definition      105 106 272
Derivative, graphing      123Ч125 131Ч134
Derivative, higher-order      112 113
Derivative, horizontal      115 126 127
Derivative, implicit function      142Ч147
Derivative, implicit function, tangent line      144
Derivative, inflection point      116
Derivative, Mean-Value theorem      128
Derivative, partial      203 204 207
Derivative, partial, higher-order      205 206 208
Derivative, product rule      112
Derivative, quotient rule      112
Derivative, Rolle's theorem      128
Derivative, tangent line      113 114
DET      304 305 327 389 396
Determinant      304
DiagonalMatrix      19 20
Difference quotient      105 106 272
Differential equations, Cauchy Ч Euler      401
Differential equations, constant coefficients      387 391
Differential equations, constant coefficients, characteristic equation      391
Differential equations, first-order, exact      369
Differential equations, first-order, homogeneous      366
Differential equations, first-order, linear      371
Differential equations, first-order, separable      364
Differential equations, fundamental set of solutions      390
Differential equations, general solution      391
Differential equations, homogeneous      387 390 391 394
Differential equations, Laplace transform      426Ч440 458Ч461
Differential equations, linear      371 387
Differential equations, nonhomogeneous      387 396
Differential equations, numerical solution (NDSolve)      375Ч377 406Ч410 451Ч457
Differential equations, partial      289Ч293 461Ч464 467Ч479
Differential equations, power series solution      192Ч198 411Ч426
Differential equations, second-order, constant coefficients      192 391Ч393
Differential equations, system      441Ч461
Differential equations, system, autonomous      450
Differential equations, system, numerical solution (NDSolve)      451Ч457
Differential equations, system, variation of parameters      446Ч449
Differential equations, variation of parameters      396Ч401
Dirac delta function      438
DiracDelta      438 439
DiracDelta, DiracDelta      438 439
DiracDelta, UnitStep      439
Direction      108
DiscreteMath      see CombinatorialSimplification see
DisplayFunction      58 61 62 65 73 76 78Ч80 87 93 114 120 125 131 132 133 144 188 201 216 273 276 278 280Ч282 284 288 293 325 380 438 443 445 446 449 454 455 457 460 464 465 469 475 483 484 486 487 489 494 496 502 508
Displaying several graphs      58 60Ч62 65 66 73 74 106 114 123Ч125 144 145 272Ч277 325 326 484 485 489 494 495 501Ч503 505 507 508
Distance formula      138
div      347 349 350 357
Divergence      347
Divergence theorem      356
DO      133 273 276 292 320 469 502 507 508
dodecahedron      500Ч502
dot (.)      304Ч310 312 319 322 325 329 330 362
Dot product      305 306
DotProduct      348
Double integral      218Ч220
Double integral, approximating (NIntegrate)      219 220
Double integral, polar coordinates      360Ч362
Double integral, volume      221Ч226
Double pendulum      458Ч461
Drop      251 320 431
DSOLVE      196 373 374 378 385 386 392Ч394 400 402 405 406 441 445 447 477 478
Dual problem      339 340
e      6 27
Eigensystem      326 329 330 442 444
Eigenvalues      326Ч331 334Ч337 442 444 452 453 456
Eigenvalues, approximating      329 330
Eigenvalues, QR method      334Ч337
Eigenvectors      326 329 330
Eigenvectors, approximating      330
ellipse      494 495
Ellipsoid      81 82
Elliptic      348
EllipticCylinder      348
Enter      2 24
Equations, approximating solutions of      88Ч99; see Differential equations
1 2 3 4
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