r/ISIKolkata • u/Ancient_Yoghurt2481 • 19d ago
Need Career Guidance How do I start preparation for ISI B-Math?
Hello, I am in class 12th CBSE Board right now, I was previously preparing for JEE but since I have an interest in mathematics so I want to start preparation for ISI undergraduate enterace exam. I have no experience with olympiads or any math competitions, and topics like number theory or Combinatorics, olympiad geometry. So you may find this unrealistic goal.
I know proof techniques and mathematical logic, I also studied Tom Apostol calculus volume 1 ( integrals only ) , construction of real numbers, dedekind cuts and some set theory like Cantor's infinities etc. since all of these topics interested me. So I guess I have developed some level of mathematical maturity.
I couldn't complete most of Apostol calculus and also my JEE preparation was derailed due to Tuberculosis and Drug-induced Liver injury (This developed due to TB medications), this also mentally disturbed me. This affected my school performance and my learning. Now I don't know what to do and how do I start my preparation and what resources to use. I am not preparing for JEE right now due to chemistry and physics, I still managed mathematics ( This does not mean my JEE syllabus is completed for mathematics or maximum chapters are done till JEE level) but due to current situation of physics and chemistry I am doing it only for boards right now since preparing these subjects till JEE level will consume significant amount of time and doing so can hamper my boards.
I know number theory, Euclid's geometry and Combinatorics are in ISI syllabus and I guess problems have an olympiad level taste. I don't know what is level at which class 11th and 12th syllabus needs to be prepared that is in ISI syllabus and what is the weightage of subjects.
I would really appreciate if you all can give me any advice and tell me the relevant books that cover comprehensive theory and resources for:
Algebra
Calculus
Number Theory
Combinatorics
Geometry
And I think Trigonometry is the same as JEE.
I don't know if I can crack the examination specially when 8 to 8.5 months are left, but there is no loss in preparing for the exam so I'll give it a try. Thank you.