LÖVE

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I learned how to code in Lua by reading at another person's script, for PSP's LuaPlayer, and I had no programming experience

(P.S: its code was readable, but awful)

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You could even use Notepad (but please, avoid it); just use the text editor you want (Don't say Office).
I like Notepad++, there's people who like Sublime Text, I use Scite or Gedit on Linux... You choose

Lua's a great language to learn for new programmers. I recommend you start by reading this free book, Programming In Lua, to get you started on all of Lua's features and how to use it. Then, when you feel like you can sling some good code, have a look through Love's Wiki, starting with the Tutorials. Good luck, and don't be afraid to ask questions.

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I learnt Lua by learning to use LÖVE, I think it works well that way. If you have some previous programming experience with any language, Lua will be pretty easy to get used to.

I highly recommend gedit as a text editor. It's very simple and doesn't try to do too much. Syntax highlighting and customizable quick commands is enough to begin with. It can also be a very powerful tool, but only if you want it to be.