Pointwise vs. Uniform Convergence - Intro to Real Analysis Ep. 34

This is episode 34 in a video series on an introduction to real analysis. In this video, we discuss sequences of functions. We initially define pointwise convergence, but by considering examples we see that a stronger notion of convergence would be better. We then define uniform convergence and prove the Uniform Limit Theorem and Differentiable Limit Theorem.

Main Source: Abbott, Stephen. Understanding Analysis. 2nd ed. Springer, 2015.

Видео Pointwise vs. Uniform Convergence - Intro to Real Analysis Ep. 34 канала Joel Anderson