What should I read first and How to divide time between mathematics and other subjects? I am a high-schooler who still has not learnt calculus completely. I have good introduction to proofs, propositional logic,all tenth grade math,functions,set theory and introductory combinatorics.
I want to learn a large number of topics in math. But do not know from which one to start if I can follow only one book at a time. Here are the topics:

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*Proof based Calculus-I am following Introduction to Real analysis-By Robert Bartle and Donald Sherbert.
2.Graph Theory(non-calculus type;kind of discrete)-I am following Graph Theory by Ronald Gould
3.Naive set theory(Paul Halmos' book)
4.Raymond Smullyan's Beginner's guide to mathematical logic-Two volumes
5.Elementary Introduction to Number Theory-by Calvin T.Long(no calculus)
So here is my first question:
(1) Where will it be correct to start?
I did not find any other stack exchange site which will fit the second question. This question is least fit for this site,but I am desperate for help. Thus,I had to put it here.
For someone who is in high school, one has to give a significant amount of time to assignments from other subjects,projects and exams. The same is happening with me as a result of which I am not able to give sufficient time to give to mathematics.
Also,I have very important exams this year which is essential for my future and thus,I am forced to ignore math.
Since a lot of academics in maths are present here, I just wanted to ask: (2)"How did you manage your time for mathematics when you were in school and how did you give time to other subjects?"

 A: (1) Strictly speaking all "higher" math is based on logic and set theory. However, going into these topics seriously is not only quite challenging, but also unnecessary for most purposes. The basics on logic and sets are covered in almost all undergraduate books (say on analysis or linear algebra). Even Halmos "Naive set theory" is perhaps overkill. Additionally, research in logic and set theory is not very active nowadays.
Although I'm not US-based, I believe the biggest step between high school math and college math is the amount of abstract objects and formalism. In this respect, linear algebra might look a bit more scary to you than analysis, but if you want to gain a head start I would definitely add linear algebra to your list (I can't recommend a book since I learnt in my native language). Elementary number theory and graph theory is certainly accessible and quite rewarding as well.
(2) During my school time I was busy doing homework and didn't think about time management at all. I spent time with silly elementary number theory puzzles (often my own creations) and tried to read books with limited success. In college there were many better educated fellow students, but some got bored and others distracted. I won't overestimate the influence of "pre-college" effort. In the end, all what counts is staying interested and fascinated by math.
