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1、PrefaceThepur-poseofthishandbookistosupplyacollectionofmathematicalformulasandtableswhichwillprovetobevaluabletostudentsandresearchworkersinthefieldsofmathematics,physics,engineeringandothersciences.TOaccomplishthis,tarehasbeentakentoincludethoseformulasandtableswhicharemostlikelytobeneededinprac
2、ticeratherthanhighlyspecializedresultswhicharerarelyused.EveryefforthasbeenmadetopresentresultsconciselyaswellaspreciselySOthattheymaybereferredtowithamaxi-mumofeaseaswellasconfidence.Topicscoveredrangefromelementarytoadvanced.Elementarytopicsincludethosefromalgebra,geometry,trigonometry,analytic
3、geometryandcalculus.Advancedtopicsincludethosefromdifferentialequations,vectoranalysis,Fourierseries,gammaandbetafunctions,BesselandLegendrefunctions,FourierandLaplacetransforms,ellipticfunctionsandvariousotherspecialfunctionsofimportance.ThiswidecoverageoftopicshasbeenadoptedSOastoprovidewithina
4、singlevolumemostoftheimportantmathematicalresultsneededbythestudentorresearchworkerregardlessofhisparticularfieldofinterestorlevelofattainment.Thebookisdividedintotwomainparts.Part1presentsmathematicalformulastogetherwithothermaterial,suchasdefinitions,theorems,graphs,diagrams,etc.,essentialforpr
5、operunderstandingandapplicationoftheformulas.IncludedinthisfirstpartareextensivetablesofintegralsandLaplacetransformswhichshouldbeextremelyusefultothestudentandresearchworker.PartIIpresentsnumericaltablessuchasthevaluesofelementaryfunctions(trigonometric,logarithmic,exponential,hyperbolic,etc.)as
6、wellasadvancedfunctions(Bessel,Legendre,elliptic,etc.).Inordertoeliminateconfusion,especiallytothebeginnerinmathematics,thenumericaltablesforeachfunctionaresep-arated,Thus,forexample,thesineandcosinefunctionsforanglesindegreesandminutesaregiveninseparatetablesratherthaninonetableSOthatthereisnone
7、edtobeconcernedaboutthepossibilityoferrerduetolookinginthewrongcolumnorrow.1wishtothankthevariousauthorsandpublisherswhogavemepermissiontoadaptdatafromtheirbooksforuseinseveraltablesofthishandbook.Appropriatereferences