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

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inkyvoydBest ResponseYou've already chosen the best response.0
Anyone know of resources I could learn more about this topic?
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.0
@RnR , I do not believe that Khan academy does a rigorous justification of riemann sums in combination with epsilondelta 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...
 one year ago

electrokidBest ResponseYou've already chosen the best response.1
dw:1363819630711:dw
 one year ago

Kanwar245Best ResponseYou've already chosen the best response.0
In that case refer to some book
 one year ago

paddyfitzBest ResponseYou've already chosen the best response.0
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
 one year ago

electrokidBest ResponseYou've already chosen the best response.1
we know that integration means, area under the graph how can we approximate that? > say using rectangles..
 one year ago

electrokidBest ResponseYou've already chosen the best response.1
definition of a derivative \[ \lim_{\Delta x\to0}\frac{\Delta y}{\Delta x}={dy\over dx} \]
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.0
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
 one year ago

electrokidBest ResponseYou've already chosen the best response.1
@inkyvoyd are you looking only for a reference?
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.0
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.
 one year ago

electrokidBest ResponseYou've already chosen the best response.1
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!
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.0
@electrokid okay I will copy down what the textbok mentions and what I don't understand. Thanks!
 one year ago

paddyfitzBest ResponseYou've already chosen the best response.0
One way of looking at a riemann sum is:dw:1363819858302:dw The limit of the bigger rectangles, the Upper Sum, and the Lower Sum as delta x tends to 0. The inequality is as such: L<theintegral<U. Though this isn't very rigorous. The upper and lower sum's themselves can be defined as the supremum and infimum of a summation.
 one year ago