Ok, this is a complete newbie question: How does one create a methematics paper using LaTeX for a PDF?
Specifically, I need help knowing:
- What to write the document in
- How to render the Latex
- How to convert into a PDF file
Also, how do I get the "amsmath" add-on?
My previous experience: I have written several papers using writelatex.com and sharelatex.com which allow collaboration on papers, and automatically render the latex + create PDF's of the finished product. I have a rough idea of how mathematical papers tend to be structured because of reading so many of them, but I have never published myself.
Also, if relevant: I have Adobe Reader and use Windows on my computer. Optimally, is there software I could download for free that would give me these capabilities?
Thanks in advance!

mathmodedocumentation which will be bundled with your TeX distribution. – Alan Munn Apr 27 '14 at 19:13