vendredi 18 octobre 2013

Infinitesimals and calculus

Here I'm after all these years and bad memories, learning calculus.



Last time I tried, sometime just after the earth cooled, it went very badly, more to do with my poor algebra skills than calculus.



The good news is that I seems to have gotten it, at least basic derviatives. The key was understand the concept of infinitesimal, which is the foundations of limits.



What did it for me was the showing that, 1/3 + 2/3 == .333... + .666... == 1



Having said all that, infinitesimals feel like a hack, you can't divide by zero but if you get really really close, then let's just pretend it's zero.



It's a really elegant hack, but does anyone else feel that way?





via JREF Forum http://forums.randi.org/showthread.php?t=267143&goto=newpost

Aucun commentaire:

Enregistrer un commentaire