
#1
Nov1912, 06:12 AM

P: 8

I am doing A levels and in my first year (equivalent to a junior in american system). I am very passionate about mathematics and physics but I get bored in my a level studies especially maths though I am a topper of my class. I therefore watch online university lectures like those of mit and other open courseware sites to quench my thirst of maths. My plan is to study mathematics at university and then research(I know how different maths is at university) So I want advice on how to study maths keeping in my mind my future goal.




#2
Nov1912, 09:52 AM

P: 836

I would say that coming out of high school you should at least have no problems manipulating algebraic expressions, and should be familiar with trigonometric, exponential and logarithmic functions.
Number theory and geometry will definitely benefit you (especially the latter!) I suggest you learn as much geometry as you can. (Euclid's Elements are freely available online). Improving your combinatorics would also help, mostly for number theory and abstract algebra. Speaking of which, you can probably pick up a copy of "Visual group theory" immediately and start studying from it to get a head start in abstract algebra. 



#3
Nov1912, 09:57 AM

Sci Advisor
HW Helper
P: 9,428

maybe try euclid elements, euler's elements of algebra, and apostol's calculus.




#4
Nov1912, 10:38 AM

P: 251

Advice for a high schooler in mathematics 



#5
Nov1912, 12:13 PM

P: 8

Thank you everyone. I would certainly try Euclid's elements. And perhaps would check out the STEP I questions as well since its also more directly related to A level.
I do have my question regarding the olympiad maths. Should I work hard in that? Will it be of great help? 



#6
Nov1912, 02:18 PM

P: 251




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