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Adding infinitesimals
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 (March 15, 2016 at 7:45 am)Jehanne Wrote:(March 15, 2016 at 4:06 am)BrianSoddingBoru4 Wrote: two infinitesimals + two infinitesimals = four infinitesimals That's pretty much what an integral is, yes.
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 (March 15, 2016 at 7:46 am)Alex K Wrote:(March 15, 2016 at 7:45 am)Jehanne Wrote: You'd still get an infinitesimal; I guess that one would need to "sum" (integrate) an infinite number of infinitesimals to get a finite number? Thanks; that makes the concept much clearer. When I first took calculus 30 years ago, the class was not taught with infinitesimals; in fact, they weren't even mentioned. RE: Adding infinitesimals
March 15, 2016 at 8:02 am
(This post was last modified: March 15, 2016 at 8:04 am by Alex K.)
(March 15, 2016 at 7:56 am)Jehanne Wrote:(March 15, 2016 at 7:46 am)Alex K Wrote: That's pretty much what an integral is, yes. Maybe not exactly in this form, on usually talks about Leibniz's differentials dx or whatever you want to call them. You must have used the Leibniz calculus df/dx and all that in differentiation and integration, right?
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Psalm 14, KJV revised edition
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 Calculus has a lot to do with limits of things approaching zero, both for differentiating and integrating. For example, differentiating a function is done by [lim h tend to 0 ]( (f(x+h) - f(x)) / h ) You're calculating a tangent at a particular point by taking an approximate tangent extremely close by at the point x+h, and then allowing h to shrink right down to zero. Maths has always been one of my passions! Feel free to send me a private message.
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Please visit my website here! It's got lots of information about atheism/theism and support for new atheists. Index of useful threads and discussions Index of my best videos Quickstart guide to the forum  (March 15, 2016 at 8:47 am)robvalue Wrote: Hehe. Trapezoids, we Yanks say
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