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现代几何方法和应用


作者:DUBROVIN     整理日期:2022-10-04 10:35:47


  upuntilrecently,riemanniangeometryandbasictopologywerenotincluded,evenbydepartmentsorfacultiesofmathematics,ascompulsorysubjectsinauniversity-levelmathematicaleducation.thestandardcoursesintheclassicaldifferentialgeometryofcurvesandsurfaceswhichweregiveninstead(andstillaregiveninsomeplaces)havecomegraduallytobeviewedasanachronisms.however,therehasbeenhithertonounanimousagreementastoexactlyhowsuchcoursesshouldbebroughtuptodate,thatistosay,whichpartsofmoderngeometryshouldberegardedasabsolutelyessentialtoamodernmathematicaleducation,andwhatmightbetheappropriatelevelofabstractnessoftheirexposition.





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