HandbookofMathematicalFunctionsWithFormulas,Graphs,andMathematicalTable

HandbookofMathematicalFunctionsWithFormulas,Graphs,andMathematicalTable
Despitetheincreasinguseofcomputers,thebasicneedformathematicaltablescontinues.Tablesserveavitalroleinpreliminarysurveysofproblemsbeforeprogrammingformachineoperation,andtheyareindispensabletothousandsofengineersandscientistswithoutaccesstomachines.Becauseofautomaticcomputers,however,andbecauseofrecentscientificadvances,agreatervarietyoffunctionsandahigheraccuracyoftabulationthanhavebeenavailableuntilnowarerequired.In1954,aconferenceonmathematicaltables,sponsoredbyM.I.T.andtheNationalScienceFoundation,mettodiscussamodernizationandextensionofJahnkeandEmde'sclassicaltablesoffunctions.Thisvolume,published10yearslaterbytheU.S.DepartmentofCommerce,istheresult.Designedtoincludeamaximumofinformationandtomeettheneedsofscientistsinallfields,itisamonumentalpieceofwork,acomprehensiveandself-containedsummaryofthemathematicalfunctionsthatariseinphysicalandengineeringproblems.Thebookcontains29setsoftables,sometoashighas20places:mathematicalconstants;physicalconstantsandconversionfactors(6tables);exponentialintegralandrelatedfunctions(7);errorfunctionandFresnelintegrals(12);Besselfunctionsofinteger(12)andfractional(13)order;integralsofBesselfunctions(2);Struveandrelatedfunctions(2);confluenthypergeometricfunctions(2);Coulombwavefunctions(2);hypergeometricfunctions;Jacobianellipticandthetafunctions(2);ellipticintegrals{9);Weierstrassellipticandrelatedfunctions;paraboliccylinderfunctions{3);Mathieufunctions(2);spheroidalwavefunctions(5);orthogonalpolynomials(13);combinatorialanalysis(9);numericalinterpolation,differentiationandintegration(11);probabilityfunctions(ll);scalesofnotation(6);miscellaneousfunctions(9);Laplacetransforms(2);andothers.Eachofthesesectionsisprefacedbyalistofrelatedformulasandgraph 本软件ID:10804558