From Physical to Arithmetic Integrals - How to Achieve Invariance

9:28
Converting a Physical Integral into an Arithmetic One: Identifying the Challenge

29:19
A brief review of curves and integration over curves.

19:28
Polynomial Equations and the Fundamental Theorem of Algebra

17:26
Researchers thought this was a bug (Borwein integrals)

14:45
Where does “e” come from?

22:41
The Geometric Expression for the Arc Length of a Curve

12:41
Euler's Derivation of the Tartaglia-Cardano Formula

33:54