Can someone suggest books on mathematics and problem solving which nurtures the reader? Can someone suggest books on mathematics and problem solving which nurtures the reader like Alexander Soifer's books?
Thanks in advance

My favorite is Mathematics and Plausible Reasoning by Polya.  It's casual and focused on how to analyze things rather than specific techniques or theories.  It's sort of a more advanced version of How To Solve It, his more famous book (which you should also read if you haven't).
If you're interested in contests, my first introduction was Problem Solving Through Problems by Larson, which is aimed at relative noobs.  But once you get your feet wet you should really focus almost completely on practicing with actual problems.  There's no training like experience.
