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Abell M.L., Braselton J.P. — Mathematica by Example
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Название: Mathematica by ExampleАвторы: Abell M.L., Braselton J.P. Аннотация: 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: Рубрика: Руководства по программному обеспечению /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: revised editionГод издания: 1994Количество страниц: 523Добавлена в каталог: 11.12.2005Операции: Положить на полку |
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Matrix, nullspace 316 317 318 323 Matrix, polynomial, minimal 332 Matrix, powers of 307 308 333 334 Matrix, product 304—306 Matrix, random entries 202 299 Matrix, rank 316 317 Matrix, row echelon form 314 317 Matrix, row space 316 Matrix, transpose 302 304 Matrix, unitary 334 MatrixForm 296 297 299 301 302 306 308 314 317 318 453 455 MatrixManipulation, AppendRows 314 MatrixPower 307 308 333 334 Maxima 134 135 210 211 216 217 Mean-value theorem for derivatives 128 Mean-value theorem for integrals 172 Method of Lagrange multipliers 79 214—218 Minima 135—141 210 211 216 217 Minimal polynomial 332 MOD 249 Module 132 151 153 270 273 276 319 320 325 454 457 460 494 MoebiusStrip 503 MultipleListPlot 496 MultipleListPlot, MultipleListPlot 496 MultipleListPlot, Plot Joined 496 N 2 25—28 32 34 36 38 88 89 117 122 150 169 173 179 213 220 226 241 329 330 335 336 472 473 488 Names 11 Natural logarithm (Log) 28 30 31 NDSolve 375—377 406 408 NDSolve, InterpolatingFunction 376 377 408 451 453—457 Negative numbers, odd roots 26 122 124 Nest 52 54 55 Newton's law of cooling 381 Newton's Second Law of Motion 383 NFourierTrigSeries 289 NIntegrate 165—167 171 218 220 222 226 286 355 463 468 472—474 NLimit 109 110 175 178 NLimit, NLimit 109 110 175 178 Node, stable 450 Node, unstable 450 Nonhomogeneous differential equation 387 396 Nonlinear differential equations, numerical solutions 375—377 406—410 451—457 NonlinearFit 284 NonlinearFit, NonlinearFit 284 Norm 307 normal 186—188 190 196 417 Normalize 8 322 NRoots 90 94 95 128 164 NSolve 93 94 Nullity 316 NullSpace 316 317 318 323 Numerator 42 43 104 Numerical approximations see Approximating NumericalMath see NLimit o 184—186 OblateEllipsoidal 348 octahedron 500 501 Odd roots of negative numbers 26 122 124 OFF 45 ON 45 Operations on expressions, Apart 41 44 367 Operations on expressions, Cancel 41 44 334 367 403 433 Operations on expressions, Denominator 42 44 104 Operations on expressions, Expand 9 40 47 54 334 361 Operations on expressions, ExpandAll 42 367 420 422 Operations on expressions, ExpandDenominator 42 Operations on expressions, ExpandNumerator 42 Operations on expressions, Factor 40 43 104 116 117 251 265 266 366 403 Operations on expressions, Numerator 42 43 104 Operations on expressions, Together 41 107 112 113 115 118 121—124 137 141 205 265 266 320 360 378 429 489 options 9 10 59 Ordinary point 411 Orthogonalization, GramSchmidt 7 8 322 Orthogonalization, Normalize 9 322 Orthogonalization, Projection 322 Orthonormal vectors 318 319 Out (%) 150 266 270 271 Output, abbreviated (Short) 95 240 241 374 377 395 399 504 Output, saving for future use 479 Outward flux 356 Packages, loading 4—8 Packages, loading, error messages 6—8 parabola 494 495 Parabolic 348 ParabolicCylinder 348 Parametric equations 65 66 81—83 168—172 Parametric equationsgraphing 65 66 74—76 81—83 168—172 ParametricPlot 64 65 453 456 ParametricPlot, AspectRatio 64 445 ParametricPlot, Compiled 446 449 454 457 ParametricPlot, DisplayFunction 65 445 446 449 454 455 457 ParametricPlot, Evaluate 443 445 446 ParametricPlot, options 9 ParametricPlot, PlotRange 65 443 445 446 ParametricPlot, Ticks 449 ParametricPlot3D 9 74 82 83 169 170 171 214 ParametricPlot3D, Axes 475 ParametricPlot3D, Boxed 475 ParametricPlot3D, BoxRatios 475 ParametricPlot3D, DisplayFunction 76 78—80 215 475 ParametricPlot3D, options 75 ParametricPlot3D, PlotPoints 76 475 ParametricPlot3D, Shading 475 ParametricPlot3D, SphericalPlot3D 227 ParametricPlot3D, Ticks 76 Part ([[...]]) 4 95 102 137 138 141 144 165 224—226 236—238 251 300—304 376 378 380 382 385—387 393 405 406 408 409 452 459—461 466—468 Partial derivative 203 204 207 Partial derivative, higher-order 205 206 208 Partial differential equations 289—293 461—464 467—479 Partial fraction decomposition (Apart) 41 44 367 Partial sums of a series (Sum) 150—156 176 179 184—189 Partition 133 152 153 155 156 200 275 277 293 326 375 449 461 464 469 495 502 507 508 PDSolvel, DSolve 477 Pendulum 407—410 458—461 permutations 494 Phase plane 442 Pi 27 Pie charts 491 492 Piecewise-defined function 62—64 122 125 286 428 430 436 PieChart 491 492 PieChart, PieExploded 491 492 Plane, tangent 212 213 plot 3 17 29—31 33 35 37 38 39 56 63 91 92 102 120—122 126 129 130 135 150 154 167 168 171 181 189—191 196 197 238 286 290 355 376 383 385 386 393 405 406 417 436 440 Plot Joined 280 496 Plot, AspectRatio 59 Plot, Axes Label 59 Plot, AxesOrigin 60 188 Plot, DisplayFunction 61 114 125 131 132 144 152 188 200 273 276 278 281 282 284 288 293 375 380 425 430 434 438 455 464 465 469 Plot, Evaluate 191 192 200 234 244 245 292 293 373 377 395 400—402 408—410 413 Plot, Frame 59 Plot, GridLines 60 Plot, options 59 Plot, PlotLabel 60 Plot, PlotRange 60 64 94 96 107 125 132 136 162 234 272 292 293 373 402 428 430 464 469 Plot, PlotStyle 55 58 60 106 107 123 125 127 163—165 187 191 192 245 288 460 Plot, Ticks 59 60 64 272 293 428 430 464 469 PLOT3D 66 68 205 Plot3D, Axes 3 16 351 Plot3D, Boxed 3 16 351 Plot3D, BoxRatios 68 Plot3D, ClipFill 479 Plot3D, DisplayFunction 80 201 213 221—223 Plot3D, options 67 Plot3D, PlotPoints 3 16 69 76 80 203 207 212 351 479 Plot3D, PlotRange 479 Plot3D, Shading 69 351 479 Plot3D, Ticks 3 Plot3D, Viewpoint 68 PlotField, PlotGradientField 497 498 PlotField, PlotVectorField 443 445 446 PlotField, PlotVectorField, AspectRatio 497 PlotField, ScaleFunction 497 PlotField3D, PlotGradientField3D 354 499 PlotField3D, PlotVectorField3D 353 357 PlotField3D, VectorHeads 354 357 499 PlotGradientField 497 498 PlotGradientField3D 354 499 PlotLabel 59 PlotPoints 3 16 69 71 73 76 80 87 93 143 146 148 149 203 207 212 216 223 351 369 371 475 479 PlotRange 60 64 65 73 94 96 107 125 132 136 144 162 188 213 216 234 272 273 276 281 282 292 293 325 371 373 402 428 430 438 443 445 446 454 457 460 464 469 479 PlotStyle 55 58 60 106 107 123 125 127 163—165 187 191 192 245 288 460 PlotVectorField3D 353 357 PlotVectorField3D, AspectRatio 357 PlotVectorField3D, VectorHeads 357 Plus (+) 24 250—252 Point 144 151 243 273 276 280 283 380 460 Points of intersection 94—99 Points, equilibrium 450 Points, ordinary 411 Points, singular 411 Points, singular, irregular 418 Points, singular, regular 418 PointSize 144 152 243 273 276 280 283 380 460 Polar coordinates, area 487—489 Polar coordinates, double integral 360—362 Polar coordinates, graphing 487—489 PolarMap 482—484 polarplot 487—489 PolarPlot, DisplayFunction 487 489 PolarPlot, Ticks 489 Polyhedra, Cube 500 Polyhedra, Dodecahedron 500 501 Polyhedra, Icosahedron 500 Polyhedra, Octahedron 500 501 Polyhedra, Polyhedron 500 502 Polyhedra, Stellate 502 Polyhedra, Tetrahedron 500 501 Polyhedron 500 502 PolynomialDivision 8 9 PolynomialLCM 10 Polynomials, characteristic 326 327 333 334 Polynomials, cyclotomic 232 Polynomials, Hermite 233 234 413 Polynomials, Laguerre 244 Polynomials, Legendre 246 247 Polynomials, Maclaurin 186 189 Polynomials, minimal 332 Polynomials, Taylor 188 Population growth 377—381 POSITION 237 Potential function 347 Power series, computing (Series) 184—189 Power series, differential equation 192—198 411—426 Power series, Integral test, interval of convergence 180 Power series, Ratio test 182 Power series, Root test 180 PowerExpand 181 182 Predator-prey 451—455 Prepend 251 PrependTo 251 Present value 257 Prime 231 Prime numbers (Prime) 231 Principal values of trigonometric functions 247—249 print 266 320 PRODUCT 250 Product of numbers in a list 250 Product rule 112 Projection 319 ProlateCycloid 348 ProlateEllipsoidal 348 Put (>>) 466 QR factorization 334 QR method 334—337 QRDecomposition 335 336 Quadric surfaces 81—83 485—487 quit 3 Quotient rule 112 Random 102 202 232 249 299 RANGE 230 250 272 273 276 Rank 316 Ratio Test 182 ReadList 467 468 471 REAL 102 202 249 RealDigits 239 rectangle 151 153 Rectangles, circumscribed 149 153 Rectangles, inscribed 149 150—152 Recurrence equations (RSolve) 269 Recursively defined function 63 64 198 199 232 286 336 423 424 428 430 Regular singular point 418 Remove 7 8 ReplaceAll (/.) 42 43 44 49 51 52 135 137 144 182 183 190 193 195—197 211 213 218 234 238 284 361 368 371 374 376 378 386 390 400 402 412 415 417 420 422 431 434 437 439 444 446 452—457 458 459 477 RGBColor 57 Rolle's theorem 128 Root test 180 RotateShape 506 507 Rotations 324—326 Row echelon form 314 317 Row space 316 Row vector 299 300 RowReduce 314 316 317 318 rsolve 268 269 RSolve, RSolve 268 269 Rule (->) 42 43 44 49 51 52 135 137 144 182 211 218 234 361 431 434 437 439 444 446 458—460 477 Saddle 209 211 Saving results for future use 466 Scalar field 347 Scalar field, gradient 347 Scalar field, laplacian 347 ScalarTripleProduct 348 ScaleFunction 497 sec 28 Secant lines 272—275 Second derivatives test 209 Second-order homogeneous differential equation with constant coefficients 192 391—393 Separable differential equation 364 Separation of variables 462 467 Series 184—188 190 192 411 412 414 416 417 Set (=) 42 43 45 46 48 50 53 56 58 61 65 66 68 73 82 169 202 232 469 SetCoordinates 348 SetDelayed (:=) 46 52 55 63 64 122 125 151 153 190 198 199 232 247 249 253 263 270 273 276 286 288 290 291 304 307 319 320 325 336 375 377 389 408 423 424 428 430 436 442 444 454 457 460 463 466—468 471—475 Sets see Arrays see see Shading 69 351 475 479 Shapes, Helix 506 Shapes, MoebiusStrip 503 Shapes, RotateShape 506 507 Shapes, Sphere 505 508 Shapes, Torus 504 Shapes, TranslateShape 507 508 Shapes, WireFrame 505 short 95 240 241 374 377 395 399 504 shortcuts 15 Show 80 132 197 284 288 353 410 443 Show, AspectRatio 62 325 Show, Axes 87 93 152 153 243 460 Show, AxesOrigin 87 93 Show, Boxed 501 502 505 Show, BoxRatios 215 Show, DisplayFunction 61 62 78 79 87 93 114 125 131—133 152 153 188 213 215 216 221—223 273 276 278 280—282 325 380 438 445 446 454 457 460 502 Show, Frame 87 93 Show, Graphics 144 152 153 243 273 276 280 325 380 460 Show, Graphics3D 503 504—506 Show, GraphicsArray 66 76 80 125 133 152 153 155 156 200 201 275 277 284 288 293 326 375 410 425 430 434 449 455 461 464 465 469 475 483 484 486 487 489 492 495 502 507 508 Show, PlotRange 144 188 213 273 276 281 282 325 438 454 457 460 Show, Polyhedron 500 Show, Stellate 502 Show, Ticks 133 273 276 460 Show, Viewpoint 223 SIMPLIFY 48 53 106 117 138 139 154 175 181—183 190 203 247 265 396 429 431 488
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