Some useful math

Part 3

Christoph Sieg

Kiteswarms

Tuesday, March 20, 2018, 14:00

Room 01-012, Georges-Köhler-Allee 102, Freiburg 79110, Germany

Abstract:

In the third part of the talk I will introduce manifolds as spaces which have differentiable structures and tensors and differential forms on such manifolds and motivate how the integration of the latter leads to Stoke's theorem. Then, I will introduce the metric tensor that allows to calculate distances between points of the manifold. I will show how to efficiently perform calculations of these objects and show how they allow a simple formulation of Maxwell's equations.