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> a few introductory-level books on number theory, calculus and combinatorics Any particular recommendations?

• vkazanov 4y ago
  Of recent gems: Elementary Number Theory by Underwood Dudley is easy to like. You can really see how it was written with an active reader in mind, with a good and doable set of inline excercises, key problems and additional problems. The material covers all the basics and doesn't try to be original, which is good for self-study. Instead of listing other books I would suggest the following learning scheme of a programmer trying to deepen their math: 1. No need to go beyond basics. Any uni-level introductory math course is already more advanced than 99.99% uses you might have. 2. Know your basics well. Get 2-3 classic books. Work through the one you like most, but still read through the rest. 3. Practical book size limit - 200-250 pages. Math material is hard, 200 pages of good math is months and months and months and mo... 4. Setup a learning/reading routine.
  • vkazanov 4y ago
    One last important bit: don't forget to enjoy the adventure, take it slow, think and feel how your reasoning toolbox expands :-)