Real Analysis | A first look at series.
We look at the definition of an infinite series and explore a examples of both convergent as well as divergent series. Please Subscribe: https://www.youtube.com/michaelpennma... Merch: https://teespring.com/stores/michael-... Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathem... Randolph College Math and Science on Facebook: / randolph.science Research Gate profile: https://www.researchgate.net/profile/... Google Scholar profile: https://scholar.google.com/citations?... If you are going to use an ad-blocker, considering using brave and tipping me BAT! https://brave.com/sdp793 Books I like: Abstract Algebra: Judson(online): http://abstract.ups.edu/ Judson(print): https://amzn.to/2Xg92wD Dummit and Foote: https://amzn.to/2zYOrok Gallian: https://amzn.to/2zg4YEo Artin: https://amzn.to/2LQ8l7C Differential Forms: Bachman: https://amzn.to/2z9wljH Number Theory: Crisman(online): http://math.gordon.edu/ntic/ Strayer: https://amzn.to/3bXwLah Andrews: https://amzn.to/2zWlOZ0 Analysis: Abbot: https://amzn.to/3cwYtuF How to think about Analysis: https://amzn.to/2AIhwVm Calculus: OpenStax(online): https://openstax.org/subjects/math OpenStax Vol 1: https://amzn.to/2zlreN8 OpenStax Vol 2: https://amzn.to/2TtwoxH OpenStax Vol 3: https://amzn.to/3bPJ3Bn

Real Analysis | The Cauchy Condensation Test

Proof of Taylor's Theorem from Real Analysis

Intro to Infinite Series | Real Analysis

When CAN'T Math Be Generalized? | The Limits of Analytic Continuation

Intro to Real Analysis: How to think of real numbers

How to break Magic the Gathering.

The Concept So Much of Modern Math is Built On | Compactness

The 4-Page Paper That Broke Mathematics

The Million Dollar Equation No One Can Solve

When Math Isn’t Based in Reality

6 Things I Wish I Knew Before Taking Real Analysis (Math Major)

The Bayesian Trap

A nice limit with a trick.

An Introduction to Compact Sets

The most beautiful formula not enough people understand

The Goat Problem - Numberphile

The Real Analysis Survival Guide

How Maxwell's Equations Were Discovered

How to Take the Factorial of Any Number

