Index • 305refining 2-D, 111refining 3-D, 118rotating, 112, 137setting scale, 99shading, 119shell, 115spheres, 115spiral (3-D), 117, 119text, 129titles, 124, 189, 203translating, 137viewing coordinates, 97plots, 81animate, 121animate3d, 123arrow, 135cylinderplot, 117sphereplot, 115plotsetup, 284plottingadaptive algorithm for, 111animations, 120, 207circles, 99, 102conformal, 132contours, 132curves in 3-D space, 133cylinders, 117, 118discontinuous functions, 56,104explicit functions, 97, 112histograms, 94implicit functions, 130in separate windows, 284inequalities, 130infinite domains, 98inline, 284joining points, 110lists of numbers, 270Matrices, 134multiple curves, 107multiple plots, 127objects, 135ODEs, 252on logarithmic axes, 131on logarithmic axis, 131parametric curves, 99parametric surfaces, 114, 116PDEs, 265points, 109polar coordinates, 101printing, 284root loci, 134series, 189shaded surface, 113singularities, 105space curves, 133specifying range, 98spheres, 116spherical coordinates, 114spirals, 103surfaces, 112tangent, 86tangent function, 106three-dimensional, 112to files, 284topographical maps, 132tubes, 133vector fields, 133plottools, 81, 135pointplot, 109, 110points, plotting, 109polar coordinates, 101and explicit functions, 102and parametric functions, 103animations, 122polar plots, 101polarplot, 102polynomial division, 17polynomials, 58–64coefficients of, 62collecting coefficients, 60collecting terms, 60, 148
306 • Indexdecomposition, 64definition, 58degree of, 62dividing, 17, 61expanding, 33, 146factoring, 150interpolation, 64sorting, 59–60sorting elements, 160–161PolynomialTools, 81position in list, specifying, 24PostScript, 284powseries, 81precisionfloating-point approximations,11integers, 7prepending names, 20previous computations, referringto, 8primality tests, 8prime number test, 8primitive part of multivariate polynomial,64print, 26printinggraphics, 284procedures, 193proceduresevaluating, 192printing, 193process, 81protected names, 19pseudo-remainder, 64quo, 61quotation mark, 197quotientinteger division, 8polynomials, 61random, 93random number generation, 93random polynomial, 64RandomTools, 81range, 92rational expressionsexpanded normal form, 36factored normal form, 35rational functionsfactoring, 150rational numbers, 7–9vs. floating-point numbers, 8–10rationalize, 153RationalNormalForms, 81read, 272readingcode, 272columns, 270commands, 272files, 272RealDomain, 81reciprocal polynomial, 64recurrence relations, solving, 58reference pages (online), see helppages, accessingrefining 2-D plots, 111refining 3-D plots, 118relative error, 11rem, 61remainderinteger division, 9remainder of polynomials, 61remember tables, 228remove, 172removing assumptions, 167repeated composition operator,233, 248reserved names, 19restart, 275restricting solutions, 47, 95resultant of two polynomials, 64
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Learning Guidecommand the brillianc
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ii•Waterloo Maple Inc.57 Erb Stre
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iv • ContentsThe numer and denom
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vi • ContentsThe Parts of an Expr
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viii • Contents
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2 • Chapter 1: Introduction to Ma
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6 • Chapter 2: Mathematics with M
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98 • Chapter 4: Graphics> f := x
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146 • Chapter 5: Evaluation and S
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