Take the 2-minute tour ×  I'm studying math by myself, and now
I'm wondering what is the most appropriate for me to study. I
think my interest goes to rather pure mathematics than applied
math or math for engineers.  So far I finished studying Thomas'
Calculus (12th Edition), and I'm basically done with reading the
first half of Baby Rudin. In the fall semester, I'm thinking of
studying the second half of that and also starting something
else together with that. The followings are some options that
I'm considering.    1. Linear Algebra.   2. Algebra (These two
seem to be very important in mathematics)   3. Topology (I kinda
liked the chapter of the basic topology in Baby Rudin)   4.
Abstract Algebra (I found it very powerful in problem-solving
while preparing for Putnam. However, I don't know if I can study
it or not.)      I also need some recommendations for textbooks.
I kinda liked Rudin's style, the repetition of Definition,
Theorem and proof. Though it is really tough, I like to fill in
the gaps and read