Riemann • Combining Topology and Dirichlet
March 18, 2012 • 2:12AM

In this fourth presentation of four, we combine the concepts we've covered so far, to unite the topological singularities we discussed in #3, with Dirichlet's principle, to develop more fully Riemann's physical approach to complex functions. The end of the presentation is a review of the concept of metaphor, particularly how it is used by Kepler.

This presentation summarized newer findings. For an earlier summing-up of Abelian functions themselves, please see the earlier video specifically on them.

(Part 4 of a series of 4.)