(March 15, 2016 at 9:33 pm)Jehanne Wrote:(March 15, 2016 at 8:02 am)Alex K Wrote: 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?
My classes used the standard 3-semester textbook, with the introduction to calculus being based upon limits. I am sure that limits and infinitesimals are intimately related; however, approaching things from the perspective of infinitesimals has, for me at least, made things easier to understand.
My calculus lectures at Uni were done by pure mathematicians and also didn't use the dx symbols. Doing it using limits is more rigorous I guess, or at least more obviously rigorous
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition