Update Chapter_8.tex
Merge pull request #57 from pec0ra/patch-1

\lambda vs \gamma
Automatic (brew) OSX install of gnuplot , better dependency check
Merge branch 'scriptPromptBrew'
Generated New PDFs
small fix to konvex def
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