(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 2613823, 66214]*) (*NotebookOutlinePosition[ 2614953, 66248]*) (* CellTagsIndexPosition[ 2614909, 66244]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["CurvesGraphics", "Title"], Cell["A free package for Advanced Calculus illustrations.", "Subtitle"], Cell["\<\ Gianluca Gorni \ \>", "Author"], Cell[CellGroupData[{ Cell["Motivation", "Subsubtitle"], Cell[TextData[{ "As a teacher of Calculus and Mathematical Analysis at college and \ university level, I feel that ", StyleBox["Mathematica", FontSlant->"Italic"], "'s standard plotting routines ignore some of the more advanced needs in my \ field: curves with arrows along them, level sets on a surface, general \ parametric of contour curves on a surface. In the last several years I have \ set out to make a package of my own to address these problems, and any \ Mathematica user is welcome to use it freely.\nI have chosen ", StyleBox["CurvesGraphics", "Input"], " as the name of the package, because curves are its main focus, but an \ important and growing part is about surface manipulation. A more accurate \ descriptive name would be something like ", StyleBox["CurvesArrowsSurfaceGraphics", "Input"], "; too long for my taste." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["General description", "Subsubtitle"], Cell[TextData[{ "The package ", StyleBox["CurvesGraphics", "Input"], " adds the following capabilities to ", StyleBox["Mathematica", FontSlant->"Italic"], " graphics:" }], "Text"], Cell[TextData[{ StyleBox["easily", FontSlant->"Italic"], " placing ", StyleBox["arrows along curves", FontWeight->"Bold"], " in 2D or 3D space along the curves produced by ", ButtonBox["Plot", ButtonStyle->"RefGuideLink"], ", ", ButtonBox["ParametricPlot", ButtonStyle->"RefGuideLink"], ", ", ButtonBox["ParametricPlot3D", ButtonStyle->"RefGuideLink"], ", and ", ButtonBox["ContourPlot", ButtonStyle->"RefGuideLink"], ", and along the solutions to differential equations given by ", ButtonBox["NDSolve", ButtonStyle->"RefGuideLink"], ";" }], "Text", CellDingbat->"\[FilledCircle]", CellMargins->{{100, Inherited}, {Inherited, Inherited}}], Cell[TextData[{ "drawing ", StyleBox["parametric or contour curves, or text, on a surface in 3D space, \ or the intersection curve of two surfaces", FontWeight->"Bold"], ", all curves with optional arrows along them." }], "Text", CellDingbat->"\[FilledCircle]", CellMargins->{{100, Inherited}, {Inherited, Inherited}}], Cell["\<\ Number, positions, size, shape, style, color of the arrows and of \ the curves are customizable through options. 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.342 r .32715 .8933 m .34007 .86019 L