Motivation for Lebesgue-Stieltjes Measures | Motivation | Measure Theory

We learn about Borel and in particular Lebesgue-Stieltjes measures in the real numbers. ☕ Make a small donation on Ko-fi: https://ko-fi.com/problemathic 📚 Buy measure theory books: Folland - Real Analysis: https://amzn.to/3Qnjjme Wheeden Zygmund - Measure and Integral: https://amzn.to/3SuZYC7 Tao - An introduction to measure theory: https://amzn.to/47AS7aH Stein - Real Analysis: https://amzn.to/3QiEfdY 💸 Support us on Patreon, get great perks and items!   / problemathic   👕 Buy great math t-shirts! https://problemathic.creator-spring.com/ 💥 Over 40k followers on Instagram, join us!   / problemathicvideos   💬 Join our Discord server!!   / discord   🖇️ https://linktr.ee/Problemathic Timestamps in this video: 0:00 Introduction. 00:03 Summary so far. 00:19 Definition: Borel measures. 01:05 Motivation. 04:35 h-Intervals. 05:16 Creating the premeasure. 06:27 Creating the measure. 07: 20 Lebesgue-Stieltjes measures. 09:07 Conclusion. #maths #measuretheory #analysis