[montefischer]

Excellent video.

Bill Heinemann, one of the three guys who created the original Oregon Trail game, taught me the basics of the umbral calculus when I was in middle school for the purpose of math competitions. Fitting polynomials to data via successive applications of the forward difference operator, etc. I remember being fascinated and applying difference operators to all kinds of number sequences to see what other rules I could figure out. Ended up majoring in math and now I'm doing my PhD. Strange to think how different my life would be if Bill had never introduced me to the good old forward difference...

[goldenkey]

Discrete Fractional Calculus changed my life too. It got me interested in mathematics in a way that the ordinary stuff never could.

https://books.google.com/books/about/Discrete_Fractional_Cal...