Moreprecisely,by(i),Imeanasystematicpresentationofthematerialgovernedbythedesireformathematicalperfectionandcompletenessoftheresults.Incontrastto(i),approach(ii)startsoutfromthequestion"Whatarethemostimportantapplications?"andthentriestoanswerthisquestionasquicklyaspossible.Here,onewalksdirectlyonthemainroadanddoesnotwanderintoalltheniceandinterestingsideroads. Thepresentbookisbasedonthesecondapproach.Itisaddressedtoundergraduateandbeginninggraduatestudentsofmathematics,physics,andengineeringwhowanttolearnhowfunctionalanalysiselegantlysolvesma~hematicalproblemsthatarerelatedtoourrealworldazldthathaveplayedanimportantroleinthehistoryofmathematics.Thereadershouldsensethatthetheoryisbeingdeveloped,notsimplyforitsownsake,butfortheeffectivesolutionofconcreteproblems.
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