How to learn advanced math by myself? I'm really interested in it but in school, I have only taken pre calculus
>>9070140
Books (pick any in each category)
Calc:
MIT OCW 18.01
Spivak
Lin Alg:
Axler
Halmos Finite Dimensional Vector Spaces
Abstract Algebra:
Jacobson
Artin
Emil Artin
Dummit Foote
Analysis:
Rudin
Tao
Advanced Real Analysis:
Stein Shakarchi
Rudin Real and Complex Analysis
Royden
Folland
Complex Analysis:
Ahlfors
Combinatorics:
van Lindt and Wilson
Lovasz Combinatorial Problems and Exercises
Junka Extermal Combinatorics
Bollobas
Concrete Mathematics by Knuth
Logic:
Ebbinghaus Flum Thomas
Schoenfield
Advanced Logic:
Recursion Theory:
Soare
Rogers
Set Theory:
Kunen
Model Theory:
Chang and Keisler
>>9070140
In my humble opinion you don't jump to advanced mathematics without feeling great pleasure in studying and solving basic problems.
khanacademy
>>9070164
fpbp and /thread
>>9070140
http://4chan-science.wikia.com/wiki/Mathematics