41 the organization of maple

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Unformatted text preview: nization of Maple . . . . . . . . . The Maple Library . . . . . . . . . . . . . . 4.2 The Maple Packages . . . . . . . . . . . . . List of Packages . . . . . . . . . . . . . . . . Example Packages . . . . . . . . . . . . . . The Student Package . . . . . . . . . . . . . Worksheet Examples . . . . . . . . . . . . . The LinearAlgebra Package . . . . . . . . . The Matlab Package . . . . . . . . . . . . . The Statistics Package . . . . . . . . . . . . The simplex Linear Optimization Package 4.3 Conclusion . . . . . . . . . . . . . . . . . . 5 Plotting In This Chapter . . . . . . . . . . Plotting Commands in Main Maple Plotting Commands in Packages . Publishing Material with Plots . . 5.1 Graphing in Two Dimensions . . . Parametric Plots . . . . . . . . . . Polar Coordinates . . . . . . . . . Functions with Discontinuities . . . Functions with Singularities . . . . Multiple Functions . . . . . . . . . Plotting Data Points . . . . . . . . Refining Plots . . . . . . . . . . . . 5.2 Graphing in Three Dimensions . . Parametric Plots . . . . . . . . . . Spherical Coordinates . . . . . . . Cylindrical Coordinates . . . . . . Refining Plots . . . . . . . . . . . . Shading and Lighting Schemes . . 5.3 Animation . . . . . . . . . . . . . . Animation in Two Dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..... Library ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi • Contents Animation in Three Dimensions . . . . . . . . . . Annotating Plots . . . . . . . . . . . . . . . . . . Labeling a Plot . . . . . . . . . . . . . . . . . . . 5.5 Composite Plots . . . . . . . . . . . . . . . . . . Placing Text in Plots . . . . . . . . . . . . . . . . 5.6 Special Types of Plots . . . . . . . . . . . . . . . Visualization Component of the Student Package 5.7 Manipulating Graphical Objects . . . . . . . . . Using the display Command . . . . . . . . . . . 5.8 Code for Color Plates . . . . . . . . . . . . . . . 5.9 Interactive Plot Builder . . . . . . . . . . . . . . 5.10 Conclusion . . . . . . . . . . . . . . . . . . . . . 5.4 6 Evaluation and Simplification Working with Expressions in Maple . . . . . . . In This Chapter . . . . . . . . . . . . . . . . . 6.1 Mathematical Manipulations . . . . . . . . . . Expanding Polynomials as Sums . . . . . . . . Collecting the Coefficients of Like Powers . . . Factoring Polynomials and Rational Functions Removing Rational Exponents . . . . . . . . . Combining Terms . . . . . . . . . . . . . . . ....
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