Michael Corral: Vector Calculus

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Appendix C 3D Graphing with Gnuplot Gnuplot is a free, open-source software package for producing a variety of graphs. Versions are available for many operating systems. Below is a very brief tutorial on how to use Gnuplot to graph functions of several variables. INSTALLATION 1. Gotohttp://www.gnuplot.info/download.htmlandfollowthelinkstodownload the latest version for your operating system. For Windows, you should get the Zip file with a name such as gp420win32.zip, which is version 4.2.0. All the examples we will discuss require at least version 4.2.0. 2. Install the downloaded file. For example, in Windows you would unzip the Zip file you downloaded in Step 1 into some folder (use the “Use folder names” option if extracting with WinZip). RUNNING GNUPLOT 1. InWindows,runwgnuplot.exefromthefolder(orbinfolder)whereyouinstalled Gnuplot. In Linux, just typegnuplot in a terminal window. 2. You should now get a Gnuplot terminal with a gnuplot> command prompt. In Windows this will appear in a new window, while in Linux it will appear in the terminal window where thegnuplot command was run. For Windows, if the font is unreadable you can change it by right-clicking on the text part of the Gnuplot window and selecting the “Choose Font..” option. For example, the font “Courier”, style “Regular”, size “12” is usually a good choice (that choice can be saved for future sessions by right-clicking in the Gnuplot window again and selecting the option to update wgnuplot.ini). 3. At the gnuplot> command prompt you can now run graphing commands, which we will now describe. GRAPHING FUNCTIONS The usual way to create 3D graphs in Gnuplot is with the splot command: splot 196
197 For a function z= f(x,y), is the range of x and y values (and optionally the range of z values) over which to plot. To specify an x range and a y range, use an expression of the form [a : b][c : d], for some numbers a
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1 0.8 0.6 0.4 z 0.2 0 -0.2 -0.4 -10
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About the author: Michael Corral is
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iv Preface matter, anyone can make
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vi Contents 4.4 Surface Integrals a
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2 CHAPTER 1. VECTORS IN EUCLIDEAN S
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10 CHAPTER 1. VECTORS IN EUCLIDEAN
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66 CHAPTER 2. FUNCTIONS OF SEVERAL
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102 CHAPTER 3. MULTIPLE INTEGRALS T
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136 CHAPTER 4. LINE AND SURFACE INT
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Page 196 and 197: 188 Bibliography Pogorelov, A.V., A
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Page 210 and 211: 202 GNU Free Documentation License
Page 218 and 219: Index Symbols D....................
Page 220 and 221: 212 Index iterated integral .......
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Michael Corral: Vector Calculus

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