Recent content by isalloum4

Hi all, What math and physics books I need to read before I am able to score well in physics GRE. I just started with Apostol/Spivak for calculus. My question is what should I read next? Real analysis vs multivariable? or rather, Spivak should be enough to handle the required math for physics...

Thanks for your time! But I still don't understand the geometric representation for this. And, both integrals are related to each other only when a<b for both the positive and the negative.

Exactly that I meant! It is conceptually confusing ( even though I thought I am good at that) and I don't know where it came from! Many thanks for help

I am reading Apostol calculus and I couldn't figure out how the above relation got derived!

Homework Statement Why integral from a to b of f(x) equals "minus (-)" integral from b to a of f(x)? when a<b or a>b Homework Equations The Attempt at a Solution

Actually I am self teaching myself and I just started with Apostol. Apostol starts with intergration first. So I didn't get to derivation yet. Maybe I have to wait. Thank you for your time.

I don't know how to show these. I would appreciate it if you show me how or tell me about a source that could help me with this. Much appreciated.

How to prove: Cosθ < (Sinθ)/θ < 1/Cosθ when 0<x<1/2π : π is Pie It seems to be a fundamental inequality that Apostol calculus uses in its text. Thank you

Hi guys! I am studying Apostol calculus volume 1 on my own. I tried many times to find a solution manual to exercises in the book but I couldn't. I would appreciate your help in this matter. Any other advice will be much appreciated. Thanks, Abe