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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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Equations, graphing 64 65 73 81—83 147—149 485—487 492—495 Equations, integrodifferential 448 Equations, literal 89 140 Equations, matrix 308—315 Equations, parametric, defining 65 66 81—83 168—172 Equations, parametric, graphing 65 66 74 76 81—83 168—172 Equations, polynomial 88—91 Equations, recurrence 269 Equations, solutions of 84—88 Equations, system of 85—88 308—315 Equations, trigonometric 85 92 Equilibrium point 450 Equilibrium point, center 444 450 Equilibrium point, saddle 450 Equilibrium point, stable node 450 Equilibrium point, stable spiral 450 Equilibrium point, unstable node 450 Equilibrium point, unstable spiral 450 EulerGamma 27 Evaluate 143 191 192 200 234 235 245 293 373 377 395 400—402 408—410 413 Evaluating functions 25 28 31 39 45—52 Exact differential equation 369 EXP 28 29 expand 9 40 47 54 334 Expand, Trig 54 361 ExpandAll 42 367 420 422 ExpandDenominator 42 ExpandNumerator 42 Extracting elements from lists 236—240 Extracting elements from matrices 300—304 Extracting elements from tables 300—304 Factor 40 43 104 116 117 251 265 266 366 403 Factorial (!) 6 109 177 178 190 Factoring expressions 40 Fibonacci numbers 231 232 FindRoot 90—93 98 99 127 166 383 466 first 236 First-order differential equation, exact 369 First-order differential equation, homogeneous 366 First-order differential equation, linear 371 First-order differential equation, separable 364 fit 277 278 281 282 284 Flatten 395 434 442 444 446 448 Folium of Descartes 65 Fourier series 285 Fourier series, kth term 285 Fourier series, partial sum 285 FourierCosSeriesCoefficient 289 FourierSinSeriesCoefficient 289 FourierTransform, FourierCosSeriesCoefficient 289 FourierTransform, FourierSinSeriesCoefficient 289 FourierTransform, FourierTrigSeries 289 FourierTransform, NFourierTrigSeries 289 FourierTrigSeries 289 Fractions, partial fraction decomposition 41 44 367 Fractions, simplifying 24 40 41 43 44 48 103—107 359 360 392 393 Frame 59 71 73 87 93 143 146 149 216 223 365 369 Free-falling bodies 383—387 FresnelC 220 FresnelS 220 Function Browser 19—21 Function of a single variable, defining 45—47 Function of a single variable, graphing 56—64 Function of two variables, defining 48 Function of two variables, graphing 66—69 Function, composing, Composition 52—54 Function, composing, Nest 52 54 55 Function, concave, down 119 Function, concave, up 119 Function, decreasing 119 Function, evaluating 25 28 31 39 45—52 Function, increasing 119 Function, linearly, dependent 387 Function, linearly, independent 387 Function, parametric, defining 65 66 81—83 168—172 Function, parametric, graphing 65 66 74 76 81—83 168—172 Function, piecewise-defined 62—64 122 125 286 428 430 436 Function, recursively defined 63 64 198 199 232 286 336 423 424 428 430 Function, vector-valued 49 50 Function, which remember the values computed 198 199 232 290 320 336 423 424 468 472—474 Fundamental set of solutions 390 future value 254 Gauss — Jordan elimination 313—315 General solution 391 Geometric series 6 174 getting started 14 GoldenRatio 27 59 61 grad 347 348 351 352 359 Gradient 347 349 497 499 Gram — Schmidt process 318—322 GramSchmidt 7 8 322 Graphics see ComplexMap see see see see see see see see see Graphics, BarChart 490 491 Graphics, Line 131 460 Graphics, PieChart 491 492 Graphics, Point 144 243 280 283 460 Graphics, PointSize 144 243 280 283 460 Graphics, PolarPlot 487—489 Graphics, three-dimensional see ParametricPlot3D seePlot3D Graphics, two-dimensional see ParametricPlot see see Graphics3D 501 503—508 Graphics3D, BarChart3D 495 496 GraphicsArray 66 73 76 80 120 124 133 152 153 155 201 277 284 293 326 375 410 434 449 455 461 475 483 484 486 489 492 495 496 502 507 508 GrayLevel 55 57 58 60 94 106 107 123 127 152 153 163 164 165 187 188 191 245 460 Green's theorem 354—356 GridLines 60 Harmonic motion 413 Heat equation 289—293 Helix 506 help 8—21 Help Pointer 15 Help, ? 8 11 12 46 56 180 220 Help, ?? (Information) 10 67 70 75 Help, Complete Selection 13 Help, Function Browser 19—21 Help, Getting Started 14 Help, Help Pointer 15 Help, Information (??) 10 67 70 75 Help, Make Template 13 Help, Names 11 Help, Options 9 10 59 Help, Shortcuts 14 15 Help, Why the Beep? 16—18 Hermite polynomials 233 234 413 HermiteH 233 234 413 Higher-order derivatives 112 113 205 206 208 Homogeneous differential equation 366 387 390 391 394 Hooke's law 403 Hyperbola 493—495 Hyperbolic functions, Cosh 36 37 Hyperbolic functions, inverse, ArcCosh 34 38 39 Hyperbolic functions, inverse, ArcCoth 34 Hyperbolic functions, inverse, ArcSech 34 Hyperbolic functions, inverse, ArcSinh 38 Hyperbolic functions, inverse, ArcTanh 38 39 Hyperbolic functions, Sinh 36 37 Hyperbolic functions, Tanh 36 37 Hyperboloid of one sheet 81 Hyperboloid of two sheets 81 Hyperboloid, graphing 82 83 i 27 icosahedron 500 Identity 58 Identity matrix 299 IdentityMatrix 299 333 if 152 Implicit differentiation 142—147 Implicit differentiation, tangent line 144 implicitplot 147 148 492—495 ImplicitPlot, ImplicitPlot 147 148 492—495 ImplicitPlot, PlotPoints 148 ImplicitPlot, Ticks 493 494 Improper integral 175 176 Increasing function 119 infinity 6 27 101 108 154 156 174—179 181 183 Inflection point 116 Information (??) 10 67 70 75 InputForm 266 Inscribed rectangles 149 150—152 Inserting comments into code 319 INTEGER 232 Integral test 176 Integral, approximating 161 162 219 220 226 Integral, arc length 166 Integral, area 162—164 487—489 Integral, convolution 435 Integral, definite 158—160 Integral, double 218—220 Integral, double, approximating 216 Integral, double, polar coordinates 360—362 Integral, double, volume 221—226 Integral, improper 175 176 Integral, indefinite 157 158 Integral, Mean-Value theorem 172 Integral, polar coordinates 360—362 487—489 Integral, triple 226 228 Integral, triple, volume 227 228 Integral, volume of solids of revolution 167—172 Integrate 157—163 169 173 175 176 218—220 226—228 290 356 357 360—362 364 368 370 371 397 433 488 489 Integrodifferential equation 435 Interest 252—254 InterpolatingFunction 376 377 408 451 453—457 InterpolatingPolynomial 277 281 Intersection points of graphs 94—99 Interval of convergence 180—184 Inverse 304 305 309 Inverse Laplace transform 426 429 InverseLaplaceTransform 426 429 437 440 459 460 Irregular singular point 418 Jacobian matrix 451 JacobianDeterminant 348 JacobianMatrix 348 Join 247 320 Jordan block 331 Jordan canonical form 332 Jordan Matrix 331 JordanDecomposition 332 333 Kernel 322 L-R-C circuit 435—438 Labeling columns of a table 218 248 Lagrange multipliers 79 80 214—218 Lagrange's theorem 214 Laguerre polynomials 244 LaguerreL 244 Laplace transform 426—429 Laplace transform of a periodic function 428 Laplace transform, inverse 429 Laplace transform, solving differential equations 430—440 458—461 LaplaceTransform, InverseLaplaceTransform 426 429 437 440 459 460 LaplaceTransform, LaplaceTransform 426 427 437 439 Laplacian 347 349—351 last 236 Legendre polynomials 246 247 LegendreP 246 247 Lemniscate of Bernoulli 146 Level curves, graphing 70—74 485—487 LIMIT 101 104—109 Limit cycle 457 Limit, Direction 108 Limits of functions of two variables 201—203 Limits, computing 101 103—107 Limits, estimating 101—103 201 202 Limits, infinite 102 105 108 Limits, numerical 109 110 Limits, one-sided 108 Line 131 460 Line continuation (\) 25 250 Linear differential equation 371 387 Linear differential equation, first-order 371 Linear equations 84 Linear equations, system of 86 308—315 Linear programming 337—346 Linear programming, dual problem 339 340 Linear programming, standard form 337 338 Linear transformation 322 Linear transformation, associated matrix 322 Linear transformation, kernel 322 Linear transformation, rotation 324—326 LinearAlgebra see MatrixManipulation see Linearly dependent 387 Linearly independent 387 LinearProgramming 341 342 LinearSolve 311—313 Listable 245 246 listplot 177 179 240 241 243 278 ListPlot, Plot Joined 280 Lists of functions 232—234 244 245 Lists of functions, graphing 234 235 244 245 Lists of random numbers 232 Lists, adding elements to 251 Lists, defining 229—233 Lists, displaying 240 241 Lists, dropping elements from 251 Lists, evaluating each element by a function 237 238 245—249 251 252 Lists, extracting elements of (Part) 236—240 Lists, first part (First) 236 Lists, graphing 240—244 Lists, joining 247 Lists, last part (Last) 236 Lists, number of elements in (Length) 236 Lists, of the same object 232 Lists, product of numbers in 250 Lists, sum of numbers in 250—252 Literal equations 89 140 Loading packages 4—7 Loading packages, Master 5 Local maximum 209 Local minimum 209 LOG 28 30 31 LogicalExpand 194 412 416 Logistic equation 377—381 Lotka — Volterra 451—455 Maclaurin polynomial 186 189 Make Template 13 Map (/@) 10 102 202 243 246—249 251 280 283 380 449 494 MapAt 249 Master 5 Matrix coefficient 308 313 Matrix equations 308—315 Matrix identity 299 333 Matrix, augmented 313 Matrix, characteristic 326 Matrix, characteristic equation 326 391 Matrix, characteristic polynomial 326 327 333 334 Matrix, column space 316 317 Matrix, conjugate transpose 334 Matrix, defining 296—300 Matrix, determinant 304 Matrix, eigenvalues 326—331 334—337 442 444 452 453 456 Matrix, eigenvalues, approximating 329 330 Matrix, eigenvalues, approximating, QR Method 334—337 Matrix, eigenvectors 326 329 330 Matrix, eigenvectors, approximating 330 Matrix, extracting parts 300—304 Matrix, inverse 304 305 309 Matrix, Jacobian 451 Matrix, Jordan 339 Matrix, Jordan, block 331 Matrix, Jordan, canonical form 332 Matrix, nullity 316
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