Moving on from the high school algebra and precalc and taking Calc 1 next semester. I love math, and I have all of this summer to read something that can help me prepare for it & other future math courses in college (not sure if I want to go into maths or engineering), along with just further expanding my math understanding. Where should I start? A book on proofs? Some algebra problem book for fun?Help please
>>8110378
things that will be useful
1. getting a handle on all kinds of proof (induction, contradiction, contrapositive, ...)
2. linear algebra (this is seriously one of the best things you can master in math)
3. not useful for calc but just read about what a 'group' is, there's probably no more fundamental mathematical object
>>8110386
So would you advise reading up on a proof and linear algebra book? What about Book of Proof (Hammack)?
>>8110386
>3. not useful for calc but just read about what a 'group' is, there's probably no more fundamental mathematical object
pointless advice. Abstract definition of group is useless on its own.
What, a highschooler who hasnt even taken linear algebra is going to prove that p-sylow subgroups always exist and are conjugate to each other? Gimme a break
>>8110401
Okay? That doesn't mean it isn't incredibly useful.
>>8110622
thanks
Anyone help?
>>8110378
Learn Python or Matlab. You'll thank me later.
>>8111617
Just get a standard calculus book and read ahead