Patch differential geometry video

Your browser does not currently recognize any of the video formats available. I give another two examples here on surfaces of revolution and an application to the sphere where we see a different patch in contrast to the monge patch seen in part 2 of lecture 12. Math 348 differential geometry of curves and surfaces. In this video, i introduce differential geometry by talking about curves. Heres one way the upcoming keyshot 6s geometry editor tool can be used to save you time and hassle when creating renderings in keyshot. Differential geometry is the study of curves, surfaces and their higher dimensional. Modern differential geometry of curves and surfaces. Curves and surfaces are the two foundational structures for differential. Introduction on how geometric characteristics are evaluated for a point cloud, which can be, e. This is the first of three videos that discuss the mathematical lives and works of three influential french differential geometers. Your browser does not currently recognize any of the video formats. Differential geometry math history nj wildberger youtube. Since the late 1940s and early 1950s, differential geometry and the theory of manifolds has developed with breathtaking speed.

A patch also called a local surface is a differentiable mapping x. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature. Differential geometry claudio arezzo lecture 01 youtube. Math 4019 metric differential geometry crux sancti patris benedicti. This course is an introduction to differential geometry. I want to show that the unit cylinder can be covered by a single surface patch, but that the unit sphere cannot. It has become part of the basic education of any mathematician or theoretical physicist, and with applications in other areas of science such as engineering or economics. Differential geometry mathematics mit opencourseware. Math 348 differential geometry of curves and surfaces lecture4surfacesincalculus xinweiyu sept. We present a systematic and sometimes novel development of classical differential differential, going back to euler, monge, dupin, gauss and many others. Meusnier, monge and dupin i differential geometry 31. Differential geometry arises from applying calculus and analytic geometry to curves and surfaces.