For a more rigorous treatment (and many other gems on the border of highly practical and highly theoretical), see Richard Hamming's great book "The Art of Doing

For a more rigorous treatment (and many other gems on the border of highly practical and highly theoretical), see Richard Hamming's great book "The Art of Doing Science and Engineering", available for download from Bret Victor's website: http://worrydream.com/refs/Hamming-TheArtOfDoingScienceAndEngineering.pdf http://worrydream.com/refs/Hamming-TheArtOfDoingScienceAndEn...