Im Anhang befindet sich ein, meiner Meinung nach, sehr gutes Zusatz-Skript, das in einer wesentlich weniger verwirrenden Weise geschrieben wurde.
LG bloo
notes.pdf (6.37 MB)
Lg bloo
euler-characteristics.pdf (195 KB)
https://www.youtube.com/watch?v=SXHHvoaSctc&list=PLTBqohhFNBE_09L0i-lf3fYXF5woAbrzJ
"This video forms part of a course on Topology & Geometry by Dr Tadashi Tokieda held at AIMS South Africa in 2014.
Topology and geometry have become useful tools in many areas of physics and engineering, and of course permeate every corner of research in today’s mathematics. They often help us make fresh progress precisely because they are very unlike, and complement,traditional differential-equation-based methods. Yet they are almost never taught to students outside advanced pure mathematics. This course teaches a minimal amount of topology and geometry of maximal usefulness in applications, relying on pictures and avoiding abstract algebraic machinery. The motto of the course is: look at the generic situation, spot invariants, solve your problem by
deformation. I hope that the course will train you to THINK IN PICTURES."
lg bloo
„On the visualisation of differential forms“
Yes, I do need it drawn out for me! 
forms.pdf (118 KB)
Der letzte Link is ja genial. Mir war die Visualisierung von Differentialformen nix neues, aber visuelle Version von Stokes Thm und die Lösung der Maxwell Glg begeistert mich! 
Danke!