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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
Queries 24
Quintic equation 117
Radio frequency pulse 408
Radioactive decay 313—316
Random command, DiscreteMath'ComputationalGeometry' 581—584
Random command, Graphics'Graphics' 545 548 550
Random command, Graphics'Graphics3D' 650 652
Random command, Graphics'MultipleListPlot 561
Random command, LinearAlgebra'MatrixManipulation' 587
Random command, manipulating lists 41—42
Random command, Monte Carlo Integration 444
Random command, PlotVectorField3D 672—673
Random command, random walk 266
Random command, Statistics'StatisticsPlot' 595—597
Random command, While loop 63
Random walk 266—268
RandomGrays command 590—591
RandomPartition command 577
RandomTree command 579
Range command, DiscreteMath'Tree' 586
Range command, generating lists 31—32
Range command, linear regression 138
Range command, manipulating lists 36
RankedEmbedding command 579
Raster command 524 528—530
Raster, pictionary 502
Rational functions 424—430
Real command 273
Real operator 272
Reals, curvature measurements 183—184 192
Reals, Graphics'Graphics3D' 644
Reals, leading spaces 14
Reals, spelling checker 95
Reals, spherical harmonics 295—296
Rebbi, Claudio 235
Rebooting computer 12
Rectangle command 237—241 443
Rectangles, graphics primitives 498
Recursion 176
Recursive function 175—178
Redcold option 602 615—616
Redhot option, Graphics'Graphics3D' 646—650 653
Redhot option, Graphics'PlotField3D' 671
Redhot option, kernel commands 615—618 621 624—27 632—633
Redhot option, pictionary 602—603
Refine command 183—184
Relative errors 653—654
Rendering, graphics 249 288
ReplaceAll operator, Dirac delta function 337—338
ReplaceAll operator, electrical circuit problem 325
ReplaceAll operator, Lotka — Volterra equations 356
ReplaceAll operator, periodic table of the elements 84
ReplaceAll operator, systems of equations and phase plots 348
ReplacePart command, coupled circuits 392 394
ReplacePart command, higher dimensions 173
Representations, data structures 22—24
Resolution, kernel commands 521—522
Resonance absorption lines 588
ResonanceAbsorptionLines'ElementAbsorptionMap 512
ResonanceAbsorptionLines'WavelengthAbsorptionMap 512
Resources, articles 91—92
Resources, boneyard 92—96
Resources, In and Out column 92
Resources, Mathematica Journal 91—92
Resources, Tricks of the Trade column 92
Result variable 304—305 307—308
return command 259 560
RGB color, basics 209—210
RGB color, Help Browser resource 85 210
RGB color, palettes 85—86
RGB color, sum 263
RGBColor command, color wheels 257—259 261
RGBColor command, Graphics'Graphics3D' 644
RGBColor command, kernel commands 614—616
RGBColor command, pictionary 602
RGBColor command, spherical harmonics 297
Riemann zeta function 485
Riemann zeta function, basics 478—487
Riemann zeta function, Graphics'ComplexMap' 574—575
Riemann zeta function, Graphics'PlotField' 570
Riera, P. 60
Ring torus 686 see
RMS, errors 416—417
Root command 117
Roots, quadratic equation 106—111
Rotation, parity states 299 299—301 301
Rule Delayed operator 270
Runge — Kutta methods 592
RydbergConstant 77
Ryzhik, Gradshteyn and, studies 4 442
SackurTetrodeConstant 77
Sampling function 281—292 520
Save statement 10—11
Scalar function, kernel commands 631
Scalar triple product 174
ScaleFactor option 675
ScatterPlot3D 291—292 607
ScatterPlot3D command 654—655 664
Score function 448
Screen display default 196
Second order equations 327—328
Sec[] function 435
Seed notebooks 6—11
SeedRandom[] command, DiscreteMath'Combinatorica' 578
SeedRandom[] command, DiscreteMath'ComputationalGeometry' 581—584
SeedRandom[] command, displaying graphics 213
SeedRandom[] command, Graphics'Graphics' 545—546 548—551
SeedRandom[] command, Graphics'Graphics3D' 650 652
SeedRandom[] command, Graphics'MultipleListPlot 560—561
SeedRandom[] command, LinearAlgebra'MatrixManipulation' 587
SeedRandom[] command, manipulating lists 41—42
SeedRandom[] command, Miscellaneous'WorldPlot' 589—590
SeedRandom[] command, Monte Carlo Integration 444
SeedRandom[] command, PlotVectorField3D 673
SeedRandom[] command, random walk 266
SeedRandom[] command, square root operator 44
SeedRandom[] command, Statistics'StatisticsPlot' 595—597
SeedRandom[] command, While loop 63 65
Select command 473
Separable potential 670—671
Sequence command, color wheels 258—259 261
Sequence command, Graphics'Graphics' 544 546—547
Sequence command, Graphics'InequalityGraphics' 553
Series command 471
Set command, basics 93
Set command, higher dimensions 175
Set command, imaginary roots 272
Set command, Lotka — Volterra equations 354
Set command, seed notebooks 7
SetDelayed command, basics 93
SetDelayed command, higher dimensions 175
SetDelayed command, Lotka — Volterra equations 356 358
Shading function, curvature 603
Shading function, kernel commands 518—520 530 613 625—628
Shading function, Legendre polynomials 488—489
Shading option, altitude 617—618
Shading option, cautions 643
Shading option, CylindricalPlot3D 667
Shading option, Graphics'ParametricPlot3D' 663
Shading option, Graphics'SurfaceOfRevolution' 691
Shading option, gray scales 239
Shading option, kernel commands 613
Shading option, pictionary 601
Shading option, sampling function 282—283 286
SHADOW command 643—644
Shadow routine 643
Shadow, pictionary 606
ShadowMesh option 646 648—650 653
ShadowPlot3D 606
ShadowPlot3D command 645—646
ShadowPosition option 646 648—650 653
Shell plot 222—223
Show command, color wheels 251—252 254 256 258
Show command, contour plots 277
Show command, coupled circuits 397
Show command, damped mass-spring system 347
Show command, Dirac delta function 216—218 220—224 230
Show command, disks 246—249
Show command, displaying graphics 213—214
Show command, electrical circuit problem 326
Show command, graphics primitives 514—516
Show command, Graphics'FilledPlot' 533
Show command, Graphics'Graphics3D' 656—657 660
Show command, Graphics'MultipleListPlot 562
Show command, Graphics'Polyhedra' 676—682 684—685
Show command, Graphics'Shapes' 686
Show command, Graphics'Spline' 565—566
Show command, gray scales 241—242
Show command, helicoids 689—690
Show command, helix 688
Show command, kernel commands 517 520 528 530 618 629
Show command, Lattice field theory 236
Show command, Miscellaneous'Audio' 68
Show command, Moebius Strip 687
Show command, Monte Carlo Integration 443 446
Show command, random walk 267—268
Show command, sampling function 282
Show command, spherical harmonics 296
Show command, SphericalPlot3D 666
Show command, systems of equations and phase plots 350
Show command, tick marks 243—245
ShowGraph command 577—579
ShowGraphArray command 580
ShowLegend command 524
Sign function 401 409—410
signal function 419—420
Signal modulation, transforms 405—408
Simplify command, coupled circuits 396
Simplify command, curvature measurements 182—184 192 200—201
Simplify command, Fourier Transform 406
Simplify command, fundamental constants 88—89
Simplify command, Gamma function 460
Simplify command, Graphics'Graphics3D' 644
Simplify command, higher order differential equations 322
Simplify command, Inverse Laplace Transform 375
Simplify command, kernel commands 625 627
Simplify command, leading spaces 14
Simplify command, multivariate expressions 433
Simplify command, polynomials and rational functions 428—29
Simplify command, quadratic equation 103
Simplify command, Riemann zeta function 480 485
Simplify command, rotation, parity states 300
Simplify command, sampling function 287
Simplify command, second order equation 328
Simplify command, spherical harmonics 295—296
Simplify command, z-transform 419 421
Simulated annealing 442
Sinc function, discrete Fourier transforms 414—415
Sinc function, Fourier Transform 400
Sinc function, Graphics'FilledPlot' 533—535
Sinc function, Graphics'Graphics3D' 645—649 652
Sinc function, Graphics'InequalityGraphics' 555
Sinc function, Graphics'MultipleListPlot 556—558
Sinc function, kernel commands 520—523 525—526
Sinc function, sampling function 281—282 284—285
Sinc function, The CRC Encyclopedia of Mathematics 286 520
Sine integral 525
Singular elements, cautions 635
Singular matrices and inversion 118—127
Singular value decomposition 123
SingularValues 123 126
SingularValues command 124
SingularValuesDecomposition command 126
Sinh[] function 436
Sin[] function, color wheels 250
Sin[] function, contour plots 278
Sin[] function, Dirac delta function 336
Sin[] function, Gamma function 455
Sin[] function, Graphics'ComplexMap' 573
Sin[] function, Graphics'FilledPlot' 532 535
Sin[] function, Graphics'Graphics3D' 646 649 655
Sin[] function, Graphics'MultipleListPlot 556—558 563
Sin[] function, Integrate command 441
Sin[] function, kernel commands 517—520 525 531 634
Sin[] function, Legendre polynomials 490 492—493
Sin[] function, manipulating lists 36 40
Sin[] function, multivariate expressions 434
Sin[] function, radio frequency pulse 412
Slot operators 48 617
Small dimensions 44
SmallStellatedDodecahedron 676—677 679
SolarConstant 77
SolarLuminosity 77
SolarRadius 77
SolarSchwarzschildRadius 77
Solve command, arbitrary orders 117
Solve command, Bessel functions 472 474
Solve command, critical points 351—352
Solve command, curvature measurements 189
Solve command, differential equations 309—310 314
Solve command, imaginary roots 269
Solve command, Laplace Transform 376 380
Solve command, Lotka — Volterra equations 354—358 360
Solve command, mass in gravitational field 330 335
Solve command, quadratic equation 107—108 111
Solving differential equations 303—367
Sound 68
Spaces, leading 12—15
Special functions, basics 451
Special functions, Bessel functions 465—478 467
Special functions, cylindrical cavity 474—478
Special functions, Fermi-Distribution 480—487
Special functions, Gamma function 451—465
Special functions, harmonics, spherical 495
Special functions, Legendre polynomials 487—494
Special functions, nuclear reactor 468—474
Special functions, polynomials 458—465 487—494
Special functions, Riemann zeta function 478—487
Special functions, spheres 458—465 490—494
Special functions, TE2 modes 474—478
Speed, software 4—5
SpeedOfLight 77 87 90
SpeedOfSound 77
spelling checker 95
Sphere command 689—690
Sphere, curvature measurements 181—182
Sphere, Gamma function 458—465
Sphere, Legendre polynomials 490—494
Sphere, pictionary 604
Spherical coordinates 628—629 631
Spherical harmonic 297
SphericalHarmonicY 14 294—296 644
SphericalPlot3D 292—298 293 608
SphericalPlot3D command 644—645 665—66
SphericalRegion option, cautions 281
SphericalRegion option, CylindricalPlot3D 667
SphericalRegion option, Graphics'ContourPlot3D' 635 637—638
SphericalRegion option, Graphics'Graphics3D' 643—644 646 653 655—658 661
SphericalRegion option, Graphics'ParametricPlot3D' 663
SphericalRegion option, Graphics'PlotField3D' 668—672
SphericalRegion option, Graphics'Polyhedra' 678—685
SphericalRegion option, Graphics'Shapes' 686
SphericalRegion option, Graphics'SurfaceOfRevolution' 691
SphericalRegion option, helicoids 689—690
SphericalRegion option, helix 687—688
SphericalRegion option, kernel commands 613—614 617 629—30 633—634
SphericalRegion option, ListPlotVectorField3D 673 675
SphericalRegion option, Moebius Strip 687
SphericalRegion option, pictionary 601
SphericalRegion option, PointParametricPlot3D 664—665
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