Media Summary: The geodesic deviation is introduced and illustrated on a sphere and a simple differential equation for the evolution of the ... Spherical Geometry. Great Circles are shown to be the geodesics, the "straightest" possible curves, on a sphere. The areas of ... The Poincare Disk model of hyperbolic geometry is introduced. it is mapped onto the Upper Half Plane model of hyperbolic ...
Classicaldiffgeo Lec 2 B - Detailed Analysis & Overview
The geodesic deviation is introduced and illustrated on a sphere and a simple differential equation for the evolution of the ... Spherical Geometry. Great Circles are shown to be the geodesics, the "straightest" possible curves, on a sphere. The areas of ... The Poincare Disk model of hyperbolic geometry is introduced. it is mapped onto the Upper Half Plane model of hyperbolic ... The second fundamental form is shown to indicate how fast a surface deviates from its tangent plane, generalizing the idea from ... The Weingarten map is written as a 2x2 symmetric metrix and is solved in terms of the first and second fundamental forms of the ... (January 18, 2010) Professor Leonard Susskind discusses quantum chromodynamics, the theory of quarks, gluons, and hadrons.
(October 3, 2011) Leonard Susskind discusses the some of the basic laws and ideas of modern physics. In this lecture, he focuses ... The geodesic curvature of a curve embedded on a surface is related to the curve's turning angle. This observation leads to a ... (October 12, 2009) Leonard Susskind gives the second lecture of a three-quarter sequence of courses that will explore the new ... The commutator of components of the covariant derivative is computed and shown to be proportional to the Gaussian curvature. Listening to Music (MUSI 112) This lecture provides an introduction to basic classical music terminology, orchestral instruments, ...
