Quoted By:
Foundations:
>'Speed Mathematics' or 'Trachtenberg'
>Basic Mathematics - Lang
>Introduction to Pure Mathematics - Liebeck
Beginning Undergrad:
>Linear Algebra - Hoffman & Kunze
>Analysis I & II - Tao
>Probability I & II - Feller
This should get you started. After this you should follow the /sci/ wiki and the Cambridge tripos ( they have a detailed 'schedules' document with all papers and reading ). You could continue with algebra, complex analysis, topology, statistical learning, numerical analysis, logic, geometry, differential equations, mathematical physics/biology/finance, discrete mathematics/theoretical computer science, etc etc.
With regards to learning methods:
>Deliberate Practice/Testing
>Active Recall
>Spaced Repetition
Make sure to keep healthy too, you can optimise your mental abilities with good diet, sleep, and exercise.
