Correct one letter and Satz number

The Satz numbers are wrong in the note anyway but 8.40 (from the notes) follows the 8.39 from line 1333
Merge pull request #58 from pec0ra/patch-1

Correct one letter and Satz number
Restore erased $
Merge pull request #59 from pec0ra/patch-1

Restore erased $
Generated New PDFs
Change prime to "first composant"

This was already discussed. Some 1s are written like ' but in this case it's a composant number and not a derivative
Correct function description in definition 8.57

Omega is not in R^n but a subset as written in Struwe's script p. 177. This is a mistake in the notes.
The function described is from Omega to R^l
Correction to definition 8.57

df(x0) is a vector composed from the differentials of each component f^i of f
Correct dimension

g maps to R^2 and not R^3
Merge pull request #60 from pec0ra/patch-1

Small corrections in the two last subchapters
Generated New PDFs
Fixes #61
Integrating fix #62, proposed by @limenet. New PDFs
Fix #63
Fix #64
#65 for details

Reflect current status more accurately, we are missing sections.
add missing source material: #65