Courses > Mathematics > Differential Geometry Email this page18.950 Differential Geometry




 Courses > Mathematics > Differential Geometry

18.950 Differential Geometry

Spring 2005

The Gauss-Bonnet theorem.
The Gauss-Bonnet theorem for compact orientable surfaces. (Image by Dr. Neshan Wickramasekera.)

Course Highlights

This course features a set of readings, as well as a full set of assignments.

Course Description

This course is an introduction to differential geometry of curves and surfaces in three dimensional Euclidean space. First and second fundamental forms, Gaussian and mean curvature, parallel transport, geodesics, Gauss-Bonnet theorem, complete surfaces, minimal surfaces and Bernstein's theorem are among the main topics studied.
 Courses > Mathematics > Differential Geometry
 

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18-950Spring-2005.zip (ZIP - 1.36 MB)


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    Courses > Mathematics > Differential Geometry Email this page18.950 Differential Geometry

     Courses > Mathematics > Differential Geometry

    18.950 Differential Geometry

    Spring 2005

    The Gauss-Bonnet theorem.
    The Gauss-Bonnet theorem for compact orientable surfaces. (Image by Dr. Neshan Wickramasekera.)

    Course Highlights

    This course features a set of readings, as well as a full set of assignments.

    Course Description

    This course is an introduction to differential geometry of curves and surfaces in three dimensional Euclidean space. First and second fundamental forms, Gaussian and mean curvature, parallel transport, geodesics, Gauss-Bonnet theorem, complete surfaces, minimal surfaces and Bernstein's theorem are among the main topics studied.
     Courses > Mathematics > Differential Geometry
     

    Download this Course

     

    18-950Spring-2005.zip (ZIP - 1.36 MB)


    Click the link above to start downloading this course.

    You may need to download file decompression software such as WinZip or StuffIt to open the .ZIP file. For more information about downloading and using zipped courses, read our Frequently Asked Questions.

    All of the materials included in the .ZIP file are governed by the same Creative Commons license that governs use of materials published on the MIT OCW page.
    12NextPage
    << Kurse> Mathematik> Seminar in der Geometrie Model of Costa's surface, a complete embedded minimal surfaceCourses > Mathematics > Seminar in Topology This course features a complete reading list and a projects section. >>