Mathematics - Mathematica Course

Mathematics - Mathematica Course

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1、Course.nb1AnIntroductiontoMathematica10.80.60.40.20.20.40.60.81PhilRamsdenandPhillipKentTheMETRICProject,MathematicsDepartment,ImperialCollegeVersion3.2;27April1999.?CopyrightImperialCollegeofScience,TechnologyandMedicine,1996,1997,1998.ThisbookletisaMathematicanoteb

2、ook.Itcanbefoundonlineathttp://metric.ma.ic.ac.uk/mathematicaCourse.nb2èOutlineofthecourseSession1:commonandusefulbuilt-inMathematicafunctions;variableassignmentandfunctiondefinition;theFrontEndandtheKernel;Notebooks.Session2:organisationofdatainMathematica;listsande

3、xpressions;simpleprogramming;functions;nesting.Session3:theopportunitytodevelopyourproficiencyasaMathematicauserthroughworkonanextendedproblem;CaseStudies;MathematicaresourcesontheInternet.èRationaleWe’renotattemptinganexhaustivesurveyofMathematica’scapabilities:weco

4、uldn’tcomeclosetodoingjusticetothattaskinthetimewehave.Equally,therearedozensofspecialisedusesforMathematica(inpureandappliedmathematics,physicalscience,engineeringetc.)thatwecan’thopetoaddresshere(thoughsomearetouchedoninour“CaseStudies”:seebelow).Instead,wefocusont

5、hekeyelementsoftheMathematicasystemandhowthesystemisused.Thesecoursenotesarenotintendedasasubstituteforthemanual,whichisTheMathematicaBook(CambridgeUniversityPress,ThirdEdition,1996),byStephenWolfram.Theentirecontentsofthemanual,andmore,areavailableonMathematica'sext

6、ensiveonlineHelpsystem,whichyoushouldcertainlytaketimetoexplore.InadditiontothesecoursenoteswehavepreparedsomeCaseStudies,or“commontasksinMathematicafortheacademicuser”.TheseareanattempttoaddressjustafewofthemorespecialisedrolesinwhichMathematicaisused.Thisbookletinc

7、ludesinformationaboutthevariousfreesourcesofMathematicainformationontheInternet,andhowtogetintouchwiththeworld-wideMathematicausercommunity.TherearenumerousotherbooksbesidestheWolfram“manual”aboutMathematicaitself,anditsuseinmathematics,science,engineeringandfinance(

8、andsomeoftheseareavailableinotherlanguages).Course.nb3èSession1Inthissession,weexplorethearithmetical,symbolicandgraphicalcapabilit

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