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.