First a few messages from our sponsor :P My fellow readers notice that I am a wikipedia fan. It enables me to find information in seconds that would otherwise (e.g. looking up in books) take me at least half an hour, if not forever. Now, imagine the overall increase of productivity all over the internet. We might be approaching singularity...
Now back to our topic...
The unreasonable effectiveness of mathematics in the natural sciences:
"the enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and that there is no rational explanation for it"
Math for Programmers:
"Math is almost always about formalizing our "common sense" about some domain, so that we can deduce and/or prove new things about that domain."
"I think the best way to start learning math is to spend 15 to 30 minutes a day surfing in Wikipedia. It's filled with articles about thousands of little branches of mathematics. You start with pretty much any article that seems interesting (e.g. String theory, say, or the Fourier transform, or Tensors, anything that strikes your fancy. Start reading. If there's something you don't understand, click the link and read about it. Do this recursively until you get bored or tired."