Here are some awesome books for anyone interested in learning math or physics (in roughly this order).
Basic Mathematics (Lang) - This book covers the essential prequisite mathematics for calculus. It's especially great for adult learners because it removes the fluff from most precalculus books (colorful pictures, cutesy word problems) and gets down to the nitty-gritty. You'll even find a few basic proofs in here!
A First Course in Calculus / Calculus of Several Variables (Lang) - Lang was a great writer and a greater mathematician. His introductory calculus books strike a great balance between rigor and practicality. Calculus is one of the most integral subjects because it opens doors to higher mathematics, physics, chemistry, mechanical engineering, and many other disciplines.
Physics (Halliday, Resnick, Krane) - Save some money and purchase the fourth edition. Newer editions have cut out lots of interesting material, but added more colorful diagrams and links to interactive features on the internet. You'll get a kick out of some of the dated problems about computer memory in the first chapter. To the current physics students - ever wonder about the direction of the angular velocity vector? You'll find the answer in one of the chapter appendices on axial and polar vectors! :)
How to Prove It (Velleman) - If you want to continue to higher mathematics, understanding how to read and write proofs is essential. In this book you'll learn how to construct proofs using the most common types and you'll pick up on a few basic theorems from number theory and abstract algebra.
A First Course in Probability (Ross) - Pick up an older edition to save money! Probability comes up a lot in quantum mechanics and statistical mechanics, so it's important to get a good grasp on the basic concepts. Remember the Monty Hall problem with the doors and the goats? Read up to find the mathematical reasoning behind the counterintuitive solution!
Instead of bombarding everyone with tons of books, I'll keep it small for now and if anyone is interested in more books I'll write up another list tomorrow. :)