《实变函数与泛函分析》课程教学大纲（syllabus for the course of real variable function and functional analysis）

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1、《实变函数与泛函分析》课程教学大纲（Syllabusforthecourseofrealvariablefunctionandfunctionalanalysis）SyllabusforthecourseofrealvariablefunctionandfunctionalanalysisI.BasicinformationofthecourseCourseCode:110047Title:analysisofrealvariablefunctionsandfunctionalanalysisEnglis

2、hName:Real,variable,analysis,And,Functional,analysisClass:BasicCoursesClass:50Credits:3Suitablesubject:BachelorofinformationandComputingScienceExaminationmethod:examination,usually30%,finalgrade70%Prerequisitecourses:mathematicalanalysisandadvancedalgebra

3、Two,curriculumintroductionChineseintroduction:realvariablefunctionattheoriginofcontinuousandnondifferentiablefunctionandRiemannfunctionoftheproductofathoroughstudy,thetheoryofpointsetsisdiscussedonthebasisofanalysisofsomebasicconceptsandpropertiesofmathem

4、atics,itsmaincontentistointroducetheLebesgueintegralandovercomestheshortcomingsofRiemannintegral.Itisthecontinuation,deepeningandpopularizationofmathematicalanalysis.Itisanimportantcoursetotrainstudents'mathematicsquality,andisalsothebasisofmodernmathemat

5、ics.Functionalanalysisofvalueproblemandthevariationalproblemofmathematicalphysicsoriginatedintheclassicaledge,andsummarizesmanyimportantconceptsofclassicalanalysis,isanimportantbranchofmodernmathematics,itintegratesanalysis,algebraandgeometryviewpointandm

6、ethodtostudyandanalyzethemathematicalandengineeringproblems,thetheoriesandmethodsofhighlygeneralityanduniversalityofapplication.Briefintroduction:RealvariableanalysisEnglishAndFunctionalanalysisisatheoreticalcourseofmathematicswhichcanbeusedinvariablefiel

7、dssuchasengineeringandtechnology,physics,chemical,biology,economicandotherfields.TheeducationalaiminthiscourseistodeveloptheabilitiesofstudentsinanalyzingandsolvingpracticalproblembythespecialwaysofRealvariableanalysisAndFunctionalanalysis'thinkingandreas

8、oning.Three,thenatureofcurriculumandthepurposeofteachingThiscourseisbasedonthebasictheoryofrealvariablefunctionandfunctionalanalysis,focusingontheapplicationoffunctionalanalysis.Thepurposeofteachingistoenrichstudent