I am currently a high school student trying to get as far ahead in mathematics as I can. In doing so, I accumulated a good 10 physical math books, and a library of online resources including 2 or 3 full textbooks. These are the subjects:
Art of Problem Solving Geometry textbook
Standard High School Calculus textbook from single variable to multivariable
Schaum's Outline Series in Linear Algebra
George Andrew's text on Number Theory with Dover Publications
Charles C. Pinter's text on Abstract algebra with Dover Publications
Earl A. Coddington's text on introduction to ODE's with Dover Publications
Rudin's Principles of Mathematical Analysis with McGraw Hill
Joshi's text on introduction to general topology from Halsted Press
John E. Freund's Modern Elementary Statistics with Prentice hall
Kenneth H. Rosen's Discrete Mathematics and It's Applications with McGraw Hill (available online in PDF format)
Introduction to Functional Equations (also available online in PDF format)
These are the main ones that I read from time to time. The problem is that there are so many I am having trouble finishing any of them. I am trying to get better in math competitions (AIME and USAMTS).
I guess I am asking for a sort of schedule to follow so that I can focus my energy into one topic at a time with stress on mathematical problem solving for Olympiad type problems.
Also I realize that these books may not be sufficient to learn the Olympiad type problem solving. So any suggestions to other books and helpful online resources would be great! Thank you for your suggestions.