This site as well as wolfram|alpha are both excellent resources for teaching yourself math!
I'd recommend looking at the KhanAcademy: it's online, free to sign-up and participate, progresses in level of difficulty, and is self-paced. It is good for reviewing the "basics" and takes you through calculus and a bit beyond.
See also this site for mathematics-related on-line video tutorials - literally hundreds of them!
Another helpful resource for learning algebra-precalculus, calculus, linear algebra and differential equations Paul's Online Math Notes and tutorials.
Then perhaps you'd like to explore MIT's Open Courseware - Mathematics for access to classes and topics of interest in more advanced topics. From there, you'll find a list of classes with resources available, and will also learn which texts are used for the available classes. Often, course notes, videos of lectures, and exams are available to assist learners, all free of charge.
For learning how to read and write proofs, including proof by induction, a wonderful text to read and work through is How to Prove It: A Structured Approach by Daniel Velleman.