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1、Atcm98''.nb1MATHEMATICAFORTHEBEGINNERTilakdeAlwisDepartmentofMathematicsSoutheasternLouisianaUniversityHammond,LA70402,USAFMAT1117@SELU.EDUAbstractInthistutorialwewillexplainsomeelementaryaspectsofthecomputeralgebrasystemMathematica3.0.Thetutorialismainlydividedinto
2、fivesections:ArithmeticandNumericalCalculations,Algebra,Calculus,GraphinginTwoandThreeDimensions,andAnimations.InthefirstsectionArithmeticandNumericalCalculations,wewillcoverthetopicssuchasexponentiation,squareroots,logarithms,absolutevalues,factoringintegers,andapp
3、roximatingnumberstoarbitraryprecision.ThissectionatthesametimeprovidestheuserafeelforthesyntaxoftheMathematicalanguage.InthesecondsectioncoveringAlgebra,wewillshowhowtofactor,expandandsimplifyalgebraicexpressions.OnehighlightinthissectionishowtouseMathematicatomimic
4、thefunctionalnotation.Inthesamesection,wewillshowhowtosolvesingleequationsandsystemsofequations.InthethirdsectiononCalculus,wediscussdifferentiation,indefiniteanddefiniteintegration,andlimitsoffunctions.Thefourthsectioncoversoneofthemostimportantaspectsofthetutorial
5、,TwoandThreeDimensionalGraphing.Startingwithgraphingasimplefunction,wewilldiscussindetailverymanyaspectsofgraphing.AmongthemincludevariousplotoptionsinMathematica,suchas,"PlotStyle","AspectRatio","Axes","AxesLabel","Frame","PlotLabel",etc.Wewillalsoexplainparametric
6、andimplicitplottingaswell.ThefinalsectionisdevotedtoshowinghowtouseMathematicaasananimationtool.Atcm98''.nb2Ã1.ArithmeticandNumericalCalculations1.Fractioncalculations+3s24s5/s+2s3+5s6/^2/414/52.ApproximationsN#Sqrt#2',100'1.41421356237309504880168872420969807856
7、96718753769480731766797379907324784621070388503875343276415733.ApproximatingotherradicalsandexponentsN#3+5/^+1s3/23^4,13'279846.12992784.CalculationsinvolvingpiandeN#Pi,200'3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348
8、253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303820N#Exp#1',100'2.71828182845
