作者：DUBROVIN 日期：2022-10-04 10:35:47
upuntilrecently,riemanniangeometryandbasictopologywerenotincluded,evenbydepartmentsorfacultiesofmathematics,ascompulsorysubjectsinauniversity-levelmathematicaleducation.thestandardcoursesintheclassicaldifferentialgeometryofcurvesandsurfaceswhichweregiveninstead(andstillaregiveninsomeplaces)havecomegraduallytobeviewedasanachronisms.however,therehasbeenhithertonounanimousagreementastoexactlyhowsuchcoursesshouldbebroughtuptodate,thatistosay,whichpartsofmoderngeometryshouldberegardedasabsolutelyessentialtoamodernmathematicaleducation,andwhatmightbetheappropriatelevelofabstractnessoftheirexposition.