.

0 (hodnocen0 x )

(1) Půjčeno:1x 

BK

New York : Springer, 1994

xiii, 721 s.

ISBN 0-387-94047-2 (váz.)

Bibliogr. s. 705.

Rejstř.

Matematika - grafika počítačová - učebnice vysokošk.

000058291

Contents â–ˇ xi // Contents // PART I The Built-in Functions // 1 // 1. Introduction to Mathematica 3 // 1.1 Basic Input and Output 4 // 1.2 Mathematica Expressions 5 // 1.3 Different Interfaces to Mathematica 7 // 1.4 Learning More about Mathematica 8 // 2. A Tour of Plotting 11 // 2.1 Function Plotting 12 // 2.2 Data Plotting 16 // 2.3 Mathematica Graphics Objects 20 // 2.4 GraphicsArray 24 // 2.5 Advanced Function Plotting 25 // 2.6 Summary 29 // 3. Graphics Options 31 // 3.1 Using Mathematica Options 32 // 3.2 Two-Dimensional Graphics Options 36 // 3.3 Graphics Commands 45 // 3.4 Three-Dimensional Graphics Options 47 // 3.5 Contour Plots 49 // 3.6 Density Plots 50 // 3.7 Summary 51 // 4. Interfacing with the Rest of 53 // Mathematica // 4.1 Importing and Manipulating Data 54 // 4.2 Saving and Restoring a Graphics 58 // Object // 4.3 Numerical Functions 59 // 4.4 Mathematica Graphics Packages 63 // 4.5 Summary 77 // S. Animating Graphics 79 // 5.1 Animation Methods 80 // 5.2 The Animation Package 80 // 5.3 Summary 85 // 6. The Mathematica Front End 87 // 6.1 Notebook Front Ends 88 // 6.2 Printing 91 // 6.3 Animation 91 // 6.4 Saving and Restoring Notebooks 93 // 6.5 Displaying and Copying Coordinates 93 // 6.6 The Three-Dimensional ViewPoint 94 // Selector // 6.7 Non-Notebook Front Ends 95 // PART II Graphics Programming 99 // 7. Mathematica Programming 101 // 7.1 Defining a New Function 102 // 7.2 Replacement Rules 107 // 7.3 Pure Functions 110 // 7.4 High-Level Mathematica

Functions 111 // 7.5 Summary 113 // 8. Two-Dimensional Graphical 115 // Primitives // 8.1 Primitives 116 // 8.2 Style Directives 125 // 8.3 Rectangle 132 // 8.4 Text 136 // 8.5 Summary 141 // xii // Contents // 9. Three-Dimensional Graphical 143 // Primitives // 9.1 Primitives 144 // 9.2 Style Directives 149 // 9.3 Polygon Triangulation 153 // 9.4 Three-Dimensional Realism 158 // 9.5 Summary 160 // 10. Coordinate Systems 163 // 10.1 Two Dimensions 164 // 10.2 The Transformation in Two 172 // Dimensions // 10.3 Three Dimensions 177 // 10.4 The Transformation in Three 181 // Dimensions // 10.5 Summary 196 // 11. Color 199 // 11.1 Style Directives 200 // 11.2 Function Evaluation 207 // 11.3 Lighting 213 // 11.4 Color Output 224 // 11.5 Summary 226 // 12. Combining and Converting Graphics 229 // 12.1 Combining Objects with Show 230 // 12.2 How Objects Are Converted 236 // 12.3 Surface, Contour, and Density Plots 238 // 12.4 Summary 242 // 13. Programming Examples 245 // 13.1 Avoiding Asymptotes in Plot 246 // 13.2 Plotting Smooth Contours 250 // 13.3 Constraining Contour Plots 255 // 13.4 Choosing Tick Mark Positions 260 // 13.5 Setting the Style of Tick Marks 263 // 13.6 Adding Labels to a Plot 267 // 13.7 Defining a New Graphics Object 271 // 13.8 Forming Contour Lines in Three 276 // Dimensions // 13.9 Using Three-Dimensional Symbols 279 // 13.10 MathLink and Fractal Images 283 // 13.11 Summary 291 // PART III Applications in 293 // Visualization and Computer Graphics // 14. The

Design of Effective Graphics // 14.1 The Basic Graph of Data // 14.2 Changing the Style // 14.3 Adding Lines to Organize the Data // 14.4 Changing the Shape // 14.5 Advanced Labeling Features // 14.6 Multiple Data Sets // 14.7 Rescaling the Data // 14.8 The Bar Chart // 14.9 The Pie Chart // 14.10 Primitive Styles and Summary // 295 // 296 // 299 // 304 // 309 // 315 // 321 // 327 // 332 // 338 // 341 // 15. Labeling Contour Plots 347 // 15.1 Labeling Contour Lines 348 // 15.2 Labeling ContourPlots with a Legend 358 // 15.3 Labeling in Version 2.2 Mathematica 363 // 15.4 Automatic Placement of Labels 365 // 15.5 Summary 366 // 16. // 16.1 // 16.2 // 16.3 // 16.4 // 16.5 // Two-Dimensional Geometry // Basic Geometric Objects // Geometric Transformations // Geometric Results // Computational Geometry // Summary // 369 // 371 // 376 // 383 // 398 // 409 // 17. Three-Dimensional Geometry 411 // 17.1 Basic Geometric Objects 413 // 17.2 Geometric Transformations 418 // 17.3 Geometric Results 428 // 17.4 Projection and Embedding 436 // 17.5 Clipping 440 // 17.6 Polygon Triangulation 446 // 17.7 Extruding Solids 452 // 17.8 Summary 456 // Contents â–ˇ xiii // 18. Visualizing Numeric Data 459 // 18.1 One-Dimensional Data 460 // 18.2 Two-Dimensional Data 461 // 18.3 Three-Dimensional Data 468 // 18.4 Triangulation and Resampling 474 // 18.5 Summary of Three-Dimensional 484 // Visualization // 18.6 Four-Dimensional Data 486 // 18.7 Multidimensional Data 494 // 18.8 Summary 497 // 19.

Visualizing Vectors 499 // 19.1 Two-Dimensional Vectors 500 // 19.2 Flow around an Object 508 // 19.3 Three-Dimensional Vectors 512 // 19.4 Field Lines 516 // 19.5 Summary 533 // PART IV A Reference to Graphics in // Mathematica // 535 // 20. Graphics Reference 537 // 20.1 Basic Structure 538 // 20.2 Primitives 539 // 20.3 Style Directives 555 // 20.4 Graphics Options 560 // 20.5 Generating Graphics Objects 576 // 21. Graphics3D Reference 589 // 21.1 Basic Structure 590 // 21.2 Primitives 590 // 21.3 Style Directives 597 // 21.4 Graphics3D Options 600 // 21.5 Generating Graphics3D Objects 614 // 21.6 Converting Graphics3D Objects 617 // 22. SurfaceGraphics Reference 619 // 22.1 Basic Structure 620 // 22.2 SurfaceGraphics Options 622 // 22.3 Generating SurfaceGraphics Objects 626 // 22.4 Converting SurfaceGraphics Objects 628 // 23. ContourGraphics Reference 631 // 23.1 Basic Structure 632 // 23.2 ContourGraphics Options 633 // 23.3 Generating ContourGraphics Objects 640 // 23.4 Converting ContourGraphics Objects 642 // 24. DensityGraphics Reference 645 // 24.1 Basic Structure 646 // 24.2 DensityGraphics Options 648 // 24.3 Generating DensityGraphics Objects 652 // 24.4 Converting DensityGraphics Objects 653 // 25. GraphicsArray Reference 657 // 25.1 Basic Structure 658 // 25.2 GraphicsArray Options 659 // 26. Rendering and Exporting Graphics 665 // 26.1 Show 666 // 26.2 Display 668 // 26.3 Notebook Graphics Formats 671 // 26.4 Exporting Graphics: The Notebook 671 // Front End

// 26.5 Exporting Graphics: The Kernel 674 // Appendix A.1 ExtendGraphics Installation 683 // Appendix A.2 ExtendGraphics Reference 691 // Appendix A.3 Loading Mathematica 701 // Packages // Bibliography 705 // Index 707 // Bibliography // 705 // Bibliography // Churchill, R.V., and J.W. Brown. Complex Variables and Applications. New York: McGraw-Hill, 1990. // Foley, J., A. van Dam, S. Feiner, and J. Hughes. Computer Graphics: Principles and Practice, Second Edition. // Reading, MA: Addison-Wesley, 1990. // Glassner, A.S., ed. Graphics Gems. Boston: Academic Press, 1990. // Gray, Alfred. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, 1993. // Greenwood, Addison. Science at the Frontier: Volume 1. Washington, DC: National Academy Press, 1992. // Jones, Maldwyn A. The Limits of Liberty: American History 1607-1980. Oxford: Oxford University Press, // 1983. // Kay, D.C., and J.R. Levine. Graphics File Formats. New York: Windcrest/McGraw-Hill, 1992. // PostScript Language Reference Manual, Second Edition. Reading, MA: Addison-Wesley, 1990. // Tufte, E.R. The Visual Display of Quantitive Information. Cheshire, CT: Graphics Press, 1983. // Tukey, J. Exploratory Data Analysis. Reading, MA: Addison-Wesley, 1977. // Wells, David. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin Books, 1991. // Wolfram, Stephen. Mathematica: A System for Doing Mathematics by Computer, Second Edition. Reading, // MA: Addison-Wesley, 1990.