Mathematics 370gw - Topics in Topology adn Geometry- The Geometry of the Physical World
T-Geometry Physical World
Spring
2024
01
4.00
Xavier Ramos Olive
TU TH 2:45 PM - 4:00 PM
Smith College
MTH-370gw-01-202403
Burton 301
xramosolive@smith.edu
The course covers the mathematics needed to describe our physical universe, focusing on concepts from the field of Differential Geometry that are needed to understand the Theories of Special and General Relativity. The course cover the differential geometry of surfaces in 3-dimensional space, with a particular focus on the difference between intrinsic and extrinsic geometry. The course also covers the Postulates of Special Relativity and an introduction to General Relativity, motivating the study of higher dimensional manifolds, Lorentzian Geometry and the mathematics behind coordinate-independent Physical theories. (E)