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McMano D., Topa D.M. — A Beginner's Guide to Mathematica
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Íàçâàíèå: A Beginner's Guide to MathematicaÀâòîðû: McMano D., Topa D.M. Àííîòàöèÿ: Because of its large command structure and intricate syntax, Mathematica can be difficult to learn. Wolfram's Mathematica manual, while certainly comprehensive, is so large and complex that when trying to learn the software from scratch — or find answers to specific questions — one can be quickly overwhelmed. A Beginner's Guide to Mathematica offers a simple, step-by-step approach to help math-savvy newcomers build the skills needed to use the software in practice. Concise and easy to use, this book teaches by example and points out potential pitfalls along the way. The presentation starts with simple problems and discusses multiple solution paths, ranging from basic to elegant, to gradually introduce the Mathematica toolkit. More challenging and eventually cutting-edge problems follow. The authors place high value on notebook and file system organization, cross-platform capabilities, and data reading and writing. The text features an array of error messages you will likely encounter and clearly describes how to deal with those situations. While it is by no means exhaustive, this book offers a non-threatening introduction to Mathematica that will teach you the aspects needed for many practical applications, get you started on performing specific, relatively simple tasks, and enable you to build on this experience and move on to more real-world problems.
ßçûê: Ðóáðèêà: Ðóêîâîäñòâà ïî ïðîãðàììíîìó îáåñïå÷åíèþ /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2005Êîëè÷åñòâî ñòðàíèö: 725Äîáàâëåíà â êàòàëîã: 04.06.2008Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
ColorFunction option, Graphics'PlotField3D' 671—672 ColorFunction option, kernel commands 523 528—531 614—16 618 620—621 626 ColorFunction option, ListPlotVectorField3D 673 ColorFunction option, pictionary 602 ColorFunction option, PlotVectorField3D 673 Coloring surface graphics 632 ColorOutput option, Graphics'Shapes' 686 ColorOutput option, Graphics'SurfaceOfRevolution' 691 ColorOutput option, helicoids 689—690 ColorOutput option, helix 687—688 ColorOutput option, Moebius Strip 687 ColorOutput option, PointParametricPlot3D 665 ColorOutput option, SphericalPlot3D 666 Colors 85 210 Combinatorica 577—579 Combinatorica'FerrersDiagram 510 Combinatorica'ShowGraph 510 Combinatorica'ShowGraphArray 510 Combining three-dimensional graphics objects 666 Comments, cautions 15—16 146 Common settings 9 11 COMPARE function 487 Comparison functions 63 CompleteCharacters palette 20 80 CompleteGraph command 577 579 ComplexExpand command 269—270 ComplexMap see Graphics'ComplexMap' Complexmap'CartesianMap 509 ComplexMap'PolarMap 509 Composite Bezier command 566 Composite Bezier splines 563 Computation examples, algebra bypass 159—170 Computation examples, arbitrary orders 117—118 Computation examples, basics 99 Computation examples, cross-check 144—145 Computation examples, curvature measurement 180—208 185—86 208 Computation examples, derivation 128—129 Computation examples, error propagation 180 Computation examples, higher dimensions 171—180 Computation examples, higher powers 156—170 Computation examples, inverse problem 180—208 Computation examples, linear regression 128—180 Computation examples, list-based tools 133—137 Computation examples, precomputation 170 Computation examples, quadratic equation 99—118 Computation examples, singular matrices and inversion 118—127 Computation examples, symbolic explorations 126—127 Computation examples, symbolic solution 106—117 Computation, Laplace transforms 371—398 ComputationalGeometry'DiagramPlot 511 ComputationalGeometry'PlanarGraphPlot 511 ComputationalGeometry'TriangularSurfacePlot 511 Conjugate command, Graphics'Graphics3D' 644 Conjugate command, leading spaces 14 Conjugate command, spherical harmonics 295—296 connected lines 515 Connecting points 519—520 Conservative field 568 Conservative forces 567—568 Constant vectors 51—53 Constantine (Roman emperor) 70 Constants, palettes 86—91 Constraint Module 96 Contour plots, 2D plotting 276—280 ContourPlot command 500—501 520—522 ContourPlot3D command 635—636 638 ContourPlots, cautions 277 Contours option, cautions 635 Contours option, contour plots 278—279 Contours option, Graphics'ContourPlot3D' 635 637—638 ContourShading option 277—278 520—522 ContourStyle option 640—642 Contract command 579 Convective cooling 307—313 convert command 89 Convex hull 581—582 584 Coordinate systems, choice 666—667 Corners, rectangles 237—239 Correlation Index 129 COSH function 372—373 CosmicBackgroundTemperature 77 Cos[] function, Bessel functions 475 Cos[] function, color wheels 250 Cos[] function, contour plots 278 Cos[] function, Dirac delta function 440 Cos[] function, Fourier Transform 405 Cos[] function, Graphics'Graphics3D' 655 Cos[] function, Graphics'MultipleListPlot 563 Cos[] function, Integrate command 441 Cos[] function, kernel commands 531 629—631 634 Cos[] function, Laplace Transform 372 Cos[] function, Legendre polynomials 490 492—494 Cos[] function, radio frequency pulse 410 Cos[] function, z-transform 418 Coupled circuits 382—398 Covectors, cautions 44 Cramer Module 396 Cramer's Rule, coupled circuits 389 395—396 Cramer's Rule, Laplace transforms 383—384 Cramer's Rule, The CRC Encyclopedia of Mathematics 383 Crashes, notebooks 16—17 CRC common.m notebook 639 CreateSlideShow palette 21 81 Creating plots 518 Critical points 350—359 Critically damped system 345—347 Cross product 174 Cross-check 144—145 cube 676—677 679 681—685 Cubic spline 563—566 Cuboid command 498 516 Cursor, graphic coordinates 69 Curvature function 621—625 Curvature measurement 180—208 185—186 Curvature shading 603 Curves identification 518 cylinders 341—345 Cylindrical cavity 474—478 Cylindrical coordinates 437 CylindricalPlot3D 599 608 CylindricalPlot3D command 666—667 Damped mass-spring system 345—347 Darts, throwing 443—449 Dashing command, Bessel functions 470 Dashing command, coupled circuits 385 397 Dashing command, damped mass-spring system 346 Dashing command, Graphics'Spline' 564 Dashing command, kernel commands 517 Dashing, pictionary 507 Data structures, basics 22 Data structures, concepts of lists 32—36 Data structures, constant vectors 51—53 Data structures, entering data 25—27 Data structures, generating lists 30—32 Data structures, large numbers 27—30 Data structures, lists 30—51 Data structures, manipulating lists 36—44 Data structures, queries 24 Data structures, representations 22—24 Data structures, square root operator 44—53 Data, entering 17 25—27 Data, keyboard shortcuts 18—21 Data, standard palettes 17—18 19—21 datestamp see Stamp DayOfWeek command 69 DaysBetween command 69 DaysPlus command 70 Debugging code 52 144—145 Defining differential equations 303—367 Delaunay triangulation 581 584 Delta function 215 337 Demo palettes 82—91 Density, kernel commands 519 DensityPlot command, kernel commands 522 524—529 DensityPlot command, pictionary 501—502 Derivation 128—129 Determinant[] operations 23 DeutreronMagneticMoment 77 DeutreronMass 77 DiagonalMatrix command 16 124 Diagram color 616—617 DiagramPlot command 583 585 Differential equations, air resistance 331—336 Differential equations, basics 303 Differential equations, boundary values 341 Differential equations, coefficients 318—324 Differential equations, convective cooling 307—313 Differential equations, critical points 350—353 Differential equations, critically damped system 345—347 Differential equations, cylinders 341—345 Differential equations, defining 303—367 Differential equations, different coefficients 318—324 Differential equations, Dirac delta function 336—367 Differential equations, electrical circuits 325—327 Differential equations, entering 303—367 Differential equations, gravitational field 328—336 Differential equations, heat conduction 341—345 Differential equations, higher order 316—336 Differential equations, Lotka — Volterra equations 354—364 Differential equations, mass 328—336 Differential equations, mass-spring system 336 Differential equations, Newton's law, convective cooling 307—13 Differential equations, parachute jumper exercise 331—336 Differential equations, phase plane portrait 364—367 Differential equations, phase plots 347—350 Differential equations, radioactive decay 313—316 Differential equations, second order equations 327—328 Differential equations, solving 303—367 Differential equations, systems of equations 347—350 Digits, number shown 37 Dimensions command, basics 35 Dimensions command, Gamma function 459 Dimensions command, kernel commands 530 Dimensions command, Miscellaneous'ChemicalElements' 72 Dirac delta distribution 214—234 Dirac delta function, boundary values 341 Dirac delta function, critical points 350—353 Dirac delta function, critically damped system 345—347 Dirac delta function, cylinders 341—345 Dirac delta function, differential equations 336—367 Dirac delta function, Fourier Transform 401—402 Dirac delta function, heat conduction 341—345 Dirac delta function, integration 438—440 Dirac delta function, Lotka — Volterra equations 354—364 Dirac delta function, phase plane portrait 364—367 Dirac delta function, phase plots 347—350 Dirac delta function, systems of equations 347—350 Dirac, P.A.M. 215 DirData 8 11 13 directory structure 7—9 11 249 DirGraph, directory structure 8 DirGraph, disks 248 DirGraph, leading spaces 13 DirGraph, notebooks 11 DirHome 8 13 DirPack, curvature measurements 206 DirPack, directory structure 8 DirPack, leading spaces 13 DirPack, notebooks 11 Disconnected lines 515 Discrete Fourier transforms 414—417 416 Discrete versions, Fourier transforms 414—417 416 Discrete versions, ListContourPlot 279—280 Discrete versions, ListPlot3D 290—291 292 Discrete versions, ListPlotVectorField3D 672—675 Discrete versions, LogLinearListPlot command 539 Discrete versions, LogLogListPlot command 540—541 Discrete versions, PointParametricPlot3D 663—665 DiscreteMath package 66 DiscreteMath'Combinatorica 510 DiscreteMath'Combinatorica' 576—580 DiscreteMath'ComputationalGeometry 511—13 DiscreteMath'ComputationalGeometry' 580—585 DiscreteMath'ExprPlot 511 DiscreteMath'Tree 511—513 DiscreteMath'Tree' 585—586 DiscreteMath'TreePlot 511 Discretization 522 Discriminant function 102 Disk command, color wheels 251 258—260 Disk command, Lattice field theory 236 Disk command, Monte Carlo Integration 443 Disks, graphics primitives 246—249 498 Display (export) 211 display command 248 Display, graphics primitives 211—214 DisplayFunction option, basics 264 DisplayFunction option, coupled circuits 397 DisplayFunction option, displaying graphics 211 DisplayFunction option, electrical circuit problem 326 DisplayFunction option, Graphics'Graphics3D' 657 DisplayFunction option, Help Browser resource 214 DisplayFunction option, SphericalPlot3D 666 Distributed computing 12 Distribution (Generalized Function) 215 DistRU function 444 447 Divergence 633 Do command 218 Do loop, Bessel functions 472 Do loop, bypassing algebra 166 168 Do loop, color wheels 260—261 Do loop, cross-check 146 Do loop, curvature measurements 194—195 198—99 Do loop, Dirac delta function 218 222—225 234 Do loop, generating lists 31—32 Do loop, gray scales 238—239 Do loop, Help Browser resource 61 Do loop, higher dimensions 172—174 Do loop, imaginary roots 270—271 Do loop, large numbers 28—29 Do loop, linear regression 130—131 141 Do loop, lists 46—48 Do loop, Monte Carlo Integration 445 Do loop, phase plane portrait 365—366 Do loop, programming 53—61 Do loop, spherical harmonics 294 Do loop, tick marks 243 245 dodecahedron 676—680 Dot product 167 174 Double helix 611 688 Double helix command 688 DOUBLE PRECISION 179 Drop command 74 393 DSolve command see also Differential Equations DSolve command, Bessel functions 465—466 469 DSolve command, Laplace Transform 375—376 DynamicViscoity command 589 EarthMass 77 Easter table 70 EdgeForm command, Graphics'Graphics3D' 644—645 EdgeForm command, Graphics'ParametricPlot3D' 663 EdgeForm command, kernel commands 632—633 EdgeForm command, spherical harmonics 297 EdgeForm command, SphericalPlot3D 666 electrical circuits 325—327 379—381 ElectronCharge 77 ElectronComptonWavelength 77 ElectronFactor 77 ElectronMagneticMoment 77 ElectronMass 77
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