Books

Dear /sci/entist recommend me the best book for:

- Infinitesimal calculus
- Linear and non-linear algebra
- Geometry and differential geometry
- Anything else in the field of mathematics and physics

Have a nice day.

Not that I wish to hijack the thread, but where would a high school senior who successfully avoided taking maths begin?  I'd like to get a head-start on physics, calculus, geometry, trig- anything and everything before I move up to college. 

Assume I'm a math beginner who only knows a decent amount of algebra. Just for perspective: my math stopped when I completed sophomore algebra II (after taking geometry, but I only made it to geometry because I tested out of algebra I).