GE420 - DIFFERENTIAL GEOMETRY 1
(objectives)
WE STUDY THE GEOMETRY OF SURFACES IN EUCLIDEAN THREE-SPACE. THIS GIVES THE STUDENT CONCRETE EXAMPLES FOR THE NOTION OF CURVATURE IN GEOMETRY. WE USE METHODS OF MULTIVARIABLE CALCULUS, LINEAR ALGEBRA AND TOPOLOGY THUS GIVING THE STUDENTS A GOOD VIEW OF SOME ASPECTS OF MATHEMATICS. THE SOFTWARE “MATHEMATICA” IS ALSO USED TO VISUALIZE AND COMPUTE GEOMETRIC FEATURES OF SURFACES IN SPACE.
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