AdvancedEngineeringMathematics7thEdition

AdvancedEngineeringMathematics7thEdition
ThisseventheditionofAdvancedEngineeringMathematicsdiffersfromthesixthinfourways.First,basedonreviewsandusercomments,newmaterialhasbeenadded,includingthefollowing.•Orthogonalprojectionsandleastsquaresapproximationsofvectorsandfunctions.Thisprovidesaunifyingthemeinrecognizingpartialsumsofeigenfunctionexpansionsasprojectionsontosubspaces,aswellasunderstandinglinesofbestfittodatapoints.•Orthogonalizationandtheproductionoforthogonalbases.•LUfactorizationofmatrices.•Lineartransformationsandmatrixrepresentations.•ApplicationoftheLaplacetransformtothesolutionofBessel’sequationandtoproblemsinvolvingwavemotionanddiffusion.•ExpandedtreatmentofpropertiesandapplicationsofLegendrepolynomialsandBesselfunctions,includingasolutionofKepler’sproblemandamodelofalternatingcurrentflow.•Heaviside’sformulaforthecomputationofinverseLaplacetransforms.•AcomplexintegralformulafortheinverseLaplacetransform,includinganapplicationtoheatdiffusioninaslab.•Vectoroperationsinorthogonalcurvilinearcoordinates.•ApplicationofvectorintegraltheoremstothedevelopmentofMaxwell’sequations.•AnapplicationoftheLaplacetransformconvolutiontoareplacementschedulingproblem. 本软件ID:4884955