I would like to learn programming but haven't been able to get started. Advice appreciated, both high-level (you should try learing language X) and low level (you can find a program that will run language X here), the latter has been a particular problem for me, I don't really know how this sort of thing works.
I am currently studying maths and physics, and I have a particular talent for the former, so I would probably do well with a language that plays to that strength. My only actual experience with programming was when my father let me play around with Jython a bit when I was about 13, I had some fun calculating prime numbers and approximating pi but never got any farther.
Thanks in advance for all suggestions.
Actual past mainstream competitions in the training mode is a good fit for what I meant to reference, assuming there is enough of both simple and hard problems in there.
From skimming the problems, I got the impression that there are more tricky-math problems than classical algorithmic problems with graphs, strings, languages, geometry, dynamic programming, rote technical skill, etc. There are many sites that are more traditional in this sense, and hence are better suited as companion material for studying the classical algorithms, I'm just not familiar enough with the present resources to name one from the top of my head.
For the purposes of these algorithmic problems, a bare minimum of C is sufficient, and you're going to learn it anyway, so could as well do that from the start. Programming language choice is more of less irrelevant for studying algorithms, and a more powerful language could even be a handicap (you shouldn't use the conveniently in-built algorithms if you want to understand how they work and how to develop analogous things on your own). So something simple like a basic subset of C or Java-without-libraries might be better.
A more powerful/convenient language is more important on the stage where you learn to implement complicated ideas (which corresponds to the next phase involving studying SICP, on my list).
Oops, deleted my comment. Reposting it for context:
In addition to Project Euler, I should point out the USACO training pages - that's where I learned a lot of basic algorithms, data structures, techniques, though I never did make it past chapter 3, IIRC. (The whole thing has been overhauled in the intervening years and I now can only access the very beginning - apparently it now requires solving each problem in a section to move on rather than just most of them...) Project Euler looks to be more basic? Also note that USACO training pages require using on... (read more)