[Maths] Series convergence tests

Usually d'Alembert's ratio test is easier to perform than Cauchy's root test but it is less powerful (-> book Advanced mathematics for applications, Andrea Prosperetti, Cambridge University press).

On Amazon:
http://www.amazon.com/Advanced-Mathematics-Applications-Andrea-Prosperetti/dp/0521735874
On Google Books:
http://books.google.com/books?id=yQejXXN8zdoC

[LATEX] Re-installation

A far more tedious task than I remembered...

With a few blocking points:

* Installation of miktex:
configuration of the proxy : proxyweb.xxx.xx + port 3128 (not 8080 for me !!!)

* Compilation issue with an old miktex version :
error message:
! You are attempting to make a LaTeX format from a source file
! That is more than five years old.
solution:
edit \MiKTeX 2.8\tex\latex\base\latex.ltx
and change \ifnum\count@65 to \ifnum\count@165

* TexnicCenter tex=>pdf (with .eps images)
copy the basic tex=>.ps profile and add a postprocessor:
gs\gs9.04\bin\gswin64.exe
-sPAPERSIZE=a4 -dSAFER -dBATCH -dNOPAUSE -sDEVICE=pdfwrite -sOutputFile="%bm.pdf" -c save pop -f "%bm.ps"

Miktex (Latex for Windows):
http://miktex.org/
Texniccenter (Latex environment for Windows):
http://www.texniccenter.org/
Latex softwares (including the all-in-one solution Protext for Windows)
http://tug.org/texcollection/