## inkyvoyd Group Title Epsilon delta definition of a limit and application of it for definite integrals (Riemann sums) one year ago one year ago

1. inkyvoyd Group Title

2. Kanwar245 Group Title

wikipedia?

3. RnR Group Title

4. inkyvoyd Group Title

@RnR , I do not believe that Khan academy does a rigorous justification of riemann sums in combination with epsilon-delta limit definition. @Kanwar245 , that's kind of trivial to mention, but I guess I might recheck the pages. Wikipedia is often very mathematically rigorous but not friendly to the layman like me...

5. electrokid Group Title

|dw:1363819630711:dw|

6. Kanwar245 Group Title

In that case refer to some book

I had to do these this year and last year, mostly I just googled around and "borrowed" notes from other Universities on it (sharing is caring!). But if you have any questions on it I could try and answer them, though it is an awfully boring topic in my opinion haha

8. electrokid Group Title

we know that integration means, area under the graph how can we approximate that? -> say using rectangles..

9. electrokid Group Title

definition of a derivative $\lim_{\Delta x\to0}\frac{\Delta y}{\Delta x}={dy\over dx}$

10. inkyvoyd Group Title

Well I'm reading Thomas and Finney, and they intrduce both topics, but I'm hoping for some sort of more rigorous justification such that calculus feels more solid. Also, I'm hoping understanding the proofs for the FTC will help me comprehend the applications of integrals in Calc II I'm struggling for

11. electrokid Group Title

@inkyvoyd are you looking only for a reference?

12. inkyvoyd Group Title

Yes @electrokid . I'm wondering if I could find a nice book on calculus that was fairly rigorous. I've tried reading a real analysis book but that hurt my poor brain with rigor.

13. electrokid Group Title

ok

14. electrokid Group Title

but it would not be a bad idea to engage into some hardcore discussion here. I am sure people would not bother to answer such topics unless they know what they are talking about!

15. inkyvoyd Group Title

@electrokid okay I will copy down what the textbok mentions and what I don't understand. Thanks!