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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 Mathematica
Àâòîðû: 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.
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ed2k: ed2k stats
Ãîä èçäàíèÿ: 2005
Êîëè÷åñòâî ñòðàíèö: 725
Äîáàâëåíà â êàòàëîã: 04.06.2008
Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
OrderStar command 593
OrderStar'OrderStar' 512
Orientation of figures 281
Origin of plot 518
Orthogonal functions 490—491 612
Osculating circle 185
Out operator 352
OutputForm command 24
Outputs, file types 210—211 211
Outputs, precision, cautions 196
Outputs, sorting, Dirac delta function 220
Outputs, storing, curvature measurements 205—06
Packages, currently loaded 86
Pade approximant 593
Pade approximation 592—593
PairwiseScatterPlot command 597
palettes see also specific palette
Palettes, constants 86—91
Palettes, Demo palettes 82—91
Palettes, Help Browser resource 81
Palettes, periodic table of the elements 82 82—85
Palettes, RGB color selector 85—86
Palettes, standard 17—18 19—21 78—81 79—81
Palettes, stickiness 18 78
Parachute jumper exercise 331—336
Parallel processing add-on package 12
Parameter space 132—133
ParametricPlot command, kernel commands 531
ParametricPlot command, Lotka — Volterra equations 357—358
ParametricPlot command, phase plane portrait 367
ParametricPlot command, pictionary 502
ParametricPlot command, systems of equations and phase plots 349
ParametricPlot3D 599 628 633—634
ParametricPlot3D command, Graphics'Graphics3D' 655 658
ParametricPlot3D command, Graphics'ParametricPlot3D' 663
ParametricPlot3D command, kernel commands 628—630 633—634
Params variable 617
Pareto format 595
Parity 300
Parity Module 485
Parity states, rotation 299 299—301 301
Parseval's theorem 412—414
Part command 73 353
Partial fraction decomposition 377
Partition command, cross-check 151—152
Partition command, DiscreteMath'Combinatorica' 580
Partition command, Graphics'Polyhedra' 682—685
Partition command, Graphics'Shapes' 686
Partition command, kernel commands 529—530 619—621
Pascal, Blaise 541
Pascal, Etienne 541
Paste Symbol 87
Paste Value 87
PasteForm 87—88
PeakWavelength command 75
PercentileBarChart 505
PercentileBarChart command 546—547
Periodic table of the elements 82 82—85
Phase plane portrait 364—367
Phase plots 347—350
Physical constants 78 91
Physical memory 205
Pictionary, 2D plot types, basics 497
Pictionary, 2D plot types, ContourPlot 500—501
Pictionary, 2D plot types, DensityPlot 501—502
Pictionary, 2D plot types, DiscreteMath'Combinatorica 510
Pictionary, 2D plot types, DiscreteMath'ComputationalGeometry 511—513
Pictionary, 2D plot types, DiscreteMath'Tree 511—513
Pictionary, 2D plot types, Graphics add-on package 503 503—509
Pictionary, 2D plot types, graphics primitives 280—281 498
Pictionary, 2D plot types, Graphics'FilledPlot' 503
Pictionary, 2D plot types, Graphics'Graphics tools 504
Pictionary, 2D plot types, Graphics'ImplicitPlot' 503
Pictionary, 2D plot types, Graphics'InequalityPlot' 505—506
Pictionary, 2D plot types, Graphics'MultipleListPlot' 505 505—507
Pictionary, 2D plot types, ListContourPlot 500
Pictionary, 2D plot types, ListDensityPlot 501
Pictionary, 2D plot types, ListPlot 500
Pictionary, 2D plot types, ParametricPlot 502
Pictionary, 2D plot types, Plot 499
Pictionary, 2D plot types, PlotField 508—509
Pictionary, 2D plot types, Raster 502
Pictionary, 2D plot types, Spline 507
Pictionary, 3D plot types, basics 599 601—611
Pictionary, 3D plot types, coloring options 602
Pictionary, 3D plot types, ContourPlot3D 605
Pictionary, 3D plot types, Graphics'Grahics3D' 606—607
Pictionary, 3D plot types, Graphics'PlotVectorField3D' 609
Pictionary, 3D plot types, Graphics'Polyhedra' package 610
Pictionary, 3D plot types, ParametricPlot3D package 604 608
Pictionary, 3D plot types, Plot3D 601
Pictionary, 3D plot types, Project command 606
Pictionary, 3D plot types, resolution 602
Pictionary, 3D plot types, shading options 603
Pictionary, 3D plot types, Shapes package 611
PieChart command 548—549
PieExploded option 550
Pitfalls see Cautions
PlanarGraphPlot command 581—582
Planck's constant 495
PlanckConstant 77
PlanckConstantReduced 77
PlanckMass 77
Platonic solid 675
Plot command, Bessel functions 466 468 470
Plot command, circuit problem 381
Plot command, coupled circuits 385 397
Plot command, damped mass-spring system 346
Plot command, differential equations 306—307 310 312
Plot command, Dirac delta function 223 231—232 234
Plot command, displaying graphics 212—213
Plot command, electrical circuit problem 326
Plot command, extraneous characters 15
Plot command, Fourier Transform 399—401 404—407
Plot command, Gamma function 454—455
Plot command, Graphics'Graphics3D' 657
Plot command, Graphics'InequalityGraphics' 555
Plot command, heat conduction, cylinder 343—344
Plot command, higher order differential equations 317—20 322 324
Plot command, Inverse Laplace Transform 375
Plot command, kernel commands 517—519 531
Plot command, Legendre polynomials 489
Plot command, mass in gravitational field 331 335
Plot command, pictionary 499
Plot command, polynomials and rational functions 429—30
Plot command, quadratic equation 104
Plot command, radio frequency pulse 408—411
Plot command, Riemann zeta function 479 481—484
Plot command, second order equation 328
Plot command, two-dimensional plotting 263—265
Plot improvements 521
Plot with legend 506
Plot3D command, kernel commands 612 614
Plot3D command, sampling function 282—283 286
Plot3D command, three-dimensional plotting 281 286—90 290
PlotField 508—509 see
PlotField'ListPlotVectorField 508
PlotField'PlotGradientField 508
PlotField'PlotHamiltonianField 508
PlotField'PlotPolyaField 508
PlotField'PlotVectorField 508
PlotGradientField 609
PlotGradientField command 569—570
PlotGradientField3D command 670—672
PlotHamiltonianField command 569
PlotJoined option 267 557 565
PlotLabel option, basics 264
PlotLabel option, Legendre polynomials 489
PlotLabel option, radio frequency pulse 408
PlotLabel option, random walk 268
PlotLegend option 555
Plotpoint format command 548
PlotPoints option, basics 264
PlotPoints option, contour plots 277—278
PlotPoints option, CylindricalPlot3D 667
PlotPoints option, Gamma function 454
PlotPoints option, Graphics'ContourPlot3D' 636—638 640
PlotPoints option, Graphics'Graphics3D' 644 646
PlotPoints option, Graphics'PlotField3D' 671—672
PlotPoints option, Graphics'SurfaceOfRevolution' 691
PlotPoints option, kernel commands 519 521—524 529 633—634
PlotPoints option, masking function 288
PlotPoints option, resolution 289—290
PlotPoints option, sampling function 283—284 286—287
PlotPoints option, spherical harmonics 297
PlotRange option, basics 264
PlotRange option, differential equations 310
PlotRange option, Dirac delta function 223 340
PlotRange option, Fourier Transform 400 407
PlotRange option, Graphics'FilledPlot' 532—533
PlotRange option, Graphics'Graphics3D' 651 654
PlotRange option, Graphics'InequalityGraphics' 555
PlotRange option, Graphics'MultipleListPlot 563
PlotRange option, imaginary roots 275—276
PlotRange option, kernel commands 517 522
PlotRange option, Lotka — Volterra equations 357
PlotRange option, masking function 288
PlotRange option, Monte Carlo Integration 448
PlotRange option, phase plane portrait 367
PlotRange option, radio frequency pulse 410—411
PlotRange option, Riemann zeta function 483
PlotRange option, sampling function 282—283 286—287
PlotRange option, systems of equations and phase plots 349
PlotStyle option, Bessel functions 466 470
PlotStyle option, coupled circuits 385 397
PlotStyle option, damped mass-spring system 346
PlotStyle option, Dirac delta function 234
PlotStyle option, Graphics'Graphics3D' 654—655 657
PlotStyle option, Graphics'Spline' 565
PlotStyle option, imaginary roots 275—276
PlotStyle option, kernel commands 517—518
PlotStyle option, Legendre polynomials 489
PlotStyle option, mass in gravitational field 331
PlotStyle option, Monte Carlo Integration 446
PlotStyle option, Riemann zeta function 479
PlotSymbol command 563
Plotting, function lists 517—518
Plotting, graphics primitives 263—298
PlotVector command 570—572
PlotVectorField command 350 567—568
PlotVectorField3D 609 672—675
PlotVectorField3D command 668—669
Plus operator, bypassing algebra 167
Plus operator, color wheels 262
Plus operator, cross-check 149—152
Plus operator, curvature measurements 198
Plus operator, higher dimensions 174—175
Plus operator, inverse Laplace transform 379
Plus operator, linear regression 138—141
Plus operator, singular matrices and inversion 127
Point function 514
PointParametricPlot3D 608 663—665
Points, graphics primitives 498
Points, labeling 216—217
Points, plotting 514
PolarListPlot 504
PolarListPlot command 542
PolarMap command 574—575
polarplot 504
PolarPlot command 542
Polya fields 570
Polyhedron 610
Polyhedron command 676—685
Polymorphism 32
Polynomials, basics 33—36
Polynomials, Gamma function 458—465
Polynomials, Help Browser resource 270
Polynomials, integration 424—430
Polynomials, Legendre type 487—494
Position command 392—393
Position of lights 616
Positive referencing 677
Positive stellation 610
Potentials 670—671 673—675
pound sign (#) 48
Precision, data structures 22
Precision, erosion, cautions 60
Precision, recursion 179
Precision, reducing magnitude, problems 168
Precomputation 170
Prep module 262
Prepend command 487
Prime command 36
Print command, Bessel functions 468—470 472 476—477
Print command, cross-check 148 153—154
Print command, curvature measurements 198
Print command, differential equations 314—315
Print command, Dirac delta function 216 220
Print command, Do loop 54—56 59—60
Print command, enormous equations 207
Print command, Gamma function 453 459—460 463
Print command, gray scales 239—240
Print command, higher order differential equations 321
Print command, large numbers 28—30
Print command, Legendre polynomials 493
Print command, linear regression 132
Print command, Lotka — Volterra equations 363
Print command, mass in gravitational field 331
Print command, Monte Carlo Integration 446
Print command, phase plane portrait 366
Print command, pure function 48
Print command, quadratic equation 100 102 111
Print command, random walk 266
Print command, Riemann zeta function 484—485
Print command, seed notebooks 6—7
Print command, spherical harmonics 294
Print command, While loop 63—64
Print Screen command 104
PrintIntegers command 94
Programming, basics 53
Programming, Do loop 53—61
Programming, flow control 53—65
Programming, For loop 61
Programming, Help Browser resource 53
Programming, While loop 61—65
project 607
Project command 659
Proportioning 612
ProtonComptonWavelength 77
ProtonMagneticMoment 77
ProtonMass 77
Pseudoinverse 120—121
PseudoInverse command 121
Publish Module 143
Punctuation 239—240
Pure functions, bypassing algebra 163
Pure functions, Dirac delta function 220—221
Pure functions, Help Browser resource 156
Pure functions, higher dimensions 172
Pure functions, imaginary roots 273—274
Pure functions, lists 48
QSolve variable 93 103
Quadratic equation, arbitrary orders 117—118
Quadratic equation, basics 99—106
Quadratic equation, symbolic solution 106—117
Quadratic equation, The CRC Encyclopedia of Mathematics 690
Quantile 597
QuantilePlot command 597
QuantizedHallConductance 77
Quantum electrodynamics 235
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