I was looking for a similar book myself, but my requirements are different. I need a book which covers most of the undergraduate level mathematics in one book! I am told no such book exsists, so I've been using "The handbook of mathematics" from Springer - http://www.amazon.com/Handbook-Mathematics-I-N-Bronshtein/dp/3540721215/ref=sr_1_1?s=books&ie=UTF8&qid=1302716164&sr=1-1 for a while. Here is the Table of contents : http://www.springer.com/cda/content/document/cda_downloaddocument/9783540721215-t1.pdf?SGWID=0-0-45-438915-p173746236
It is a nice book but the problem is that I found it too wide for my needs, and there are no problems to work on! I need a similar but detailed book with examples and problems. However, it might fit your requirements perfectly as it has a wide range of topics covered, so please check it out. I have not checked The Princeton Companion book, but I think it will not be that useful for me.
Sorry for hijacking your thread, but if someone have a recommendation for me please comment.
