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1、PrefaceThepur-poseofthishandbookistosupplyacollectionofmathematicalformulasandtableswhichwillprovetobevaluabletostudentsandresearchworkersinthefieldsofmathematics,physics,engineeringandothersciences.TOaccomplishthis,tarehasbeentakentoincludethoseformulasandtableswhicharemostlikelytobeneededinpractic
2、eratherthanhighlyspecializedresultswhicharerarelyused.EveryefforthasbeenmadetopresentresultsconciselyaswellaspreciselySOthattheymaybereferredtowithamaxi-mumofeaseaswellasconfidence.Topicscoveredrangefromelementarytoadvanced.Elementarytopicsincludethosefromalgebra,geometry,trigonometry,analyticgeomet
3、ryandcalculus.Advancedtopicsincludethosefromdifferentialequations,vectoranalysis,Fourierseries,gammaandbetafunctions,BesselandLegendrefunctions,FourierandLaplacetransforms,ellipticfunctionsandvariousotherspecialfunctionsofimportance.ThiswidecoverageoftopicshasbeenadoptedSOastoprovidewithinasinglevol
4、umemostoftheimportantmathematicalresultsneededbythestudentorresearchworkerregardlessofhisparticularfieldofinterestorlevelofattainment.Thebookisdividedintotwomainparts.Part1presentsmathematicalformulastogetherwithothermaterial,suchasdefinitions,theorems,graphs,diagrams,etc.,essentialforproperundersta
5、ndingandapplicationoftheformulas.IncludedinthisfirstpartareextensivetablesofintegralsandLaplacetransformswhichshouldbeextremelyusefultothestudentandresearchworker.PartIIpresentsnumericaltablessuchasthevaluesofelementaryfunctions(trigonometric,logarithmic,exponential,hyperbolic,etc.)aswellasadvancedf
6、unctions(Bessel,Legendre,elliptic,etc.).Inordertoeliminateconfusion,especiallytothebeginnerinmathematics,thenumericaltablesforeachfunctionaresep-arated,Thus,forexample,thesineandcosinefunctionsforanglesindegreesandminutesaregiveninseparatetablesratherthaninonetableSOthatthereisnoneedtobeconcernedabo
7、utthepossibilityoferrerduetolookinginthewrongcolumnorrow.1wishtothankthevariousauthorsandpublisherswhogavemepermissiontoadaptdatafromtheirbooksforuseinseveraltablesofthishandbook.Appropriatereferences