/sci/ - Science & Math

>>11683363
Calculus and Linear Algebra are the fundamentals of all modern math, although I believe you probably have a strong foundation in calculus, your Linear Algebra knowledge probably boils down to computational problems, so I'd suggest starting from proof-based LA and for that there are two good books:
>Linear Algebra Done Right (highly controversial buy pretty good nonetheless)
>Linear Algebra by Hoffman and Kunze
You could also strenghten your calculus basis using Apostol but it might be a waste of time if you still retain some knowledge of the most important theorems and definitions. After this you should tackle Real Analysis and Abstract Algebra.

For real analysis you might want to use Pugh or Tao, they're both good, not very easy, but also not Rudin level approaches. If even then you're struggling with Analysis, then maybe use Abbott which is a fairly handholding approach to the subject.

For abstract algebra there are several good books such as Dummit and Foote, Artin, Aluffi, Herstein, Rotman, Jacobson etc whichever you choose is good enough.

After that maybe you could be interested in Differential Geometry, but the only book I used for this was do Carmo and it was pretty good.

There's also ODEs and PDEs at the undergraduate level, but I can't recommend anything on those since they're too boring for me.