书目

FourierAnalysis

内容简介

Areader-friendly,systematicintroductiontoFourieranalysisRichinboththeoryandapplication,FourierAnalysispresentsauniqueandthoroughapproachtoakeytopicinadvancedcalculus.ThispioneeringresourcetellsthefullstoryofFourieranalysis,includingitshistoryanditsimpactonthedevelopmentofmodernmathematicalanalysis,andalsodiscussesessentialconceptsandtoday'sapplications.Writtenatarigorouslevel,yetinanengagingstylethatdoesnotdilutethematerial,FourierAnalysisbringstwoprofoundaspectsofthedisciplinetotheforefront:thewealthofapplicationsofFourieranalysisinthenaturalsciencesandtheenormousimpactFourieranalysishashadonthedevelopmentofmathematicsasawhole.Systematicandcomprehensive,thebook:Presentsmaterialusingacause-and-effectapproach,illustratingwhereideasoriginatedandwhatnecessitatedthemIncludesmaterialonwavelets,Lebesgueintegration,L2spaces,andrelatedconceptsConveysinformationinalucid,readablestyle,inspiringfurtherreadingandresearchonthesubjectProvidesexercisesattheendofeachsection,aswellasillustrationsandworkedexamplesthroughoutthetextBasedupontheprinciplethattheoryandpracticearefundamentallylinked,FourierAnalysisistheidealtextandreferenceforstudentsinmathematics,engineering,andphysics,aswellasscientistsandtechniciansinabroadrangeofdisciplineswhouseFourieranalysisinreal-worldsituations.

作者简介

ERICSTADE,PhD,isProfessorofMathematicsattheUniversityofColoradoatBoulder.Hereceivedhisdoctoratein1988fromColumbiaUniversityandhasauthoredanumberofrefereedjournalarticlesinnumbertheoryandphysics.HeisamemberoftheAmericanAssociationofUniversityProfessorsandtheMathematicalAssociationofAmerica.

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