Does the Finite Calculus exist?

Does the Finite Calculus exist?

Postby Guest » Wed Oct 23, 2019 3:07 pm

Does the Finite Calculus exist? (Please, don't confuse it for Discrete Mathematics.) Is it the synonym of the Discrete Calculus or the synonym of the Finite Differences Calculus? Is it applicable for Pure & Applied Physics nowadays? Could you recommend some resources for such subject?
Because I'm trying to study not only Classic Calculus, but the Calculus of Finite Variables and Functions, I'm writing you this question.
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Re: Does the Finite Calculus exist?

Postby Guest » Wed Nov 06, 2019 8:45 am

It looks like you are talking about the "Calculus of Finite Differences": https://en.wikipedia.org/wiki/Finite_difference

George Boole wrote "A treatise on the Calculus of Finite Differences" in 1860. It is a classic and is still available of e-bay.

One interesting difference between it and the "usual" Calculus is that while a solution to the equation "$\frac{dy}{dx}= y$" is $y= e^x$, a solution to the same equation with the "regular" derivative replace by a "finite differences quotient" is $y= 2^x$.
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