Measure Theory Courses and Certifications

Measure Theory

This course covers measure and integration. We start with abstract measures and their integration theory. Next, we construct the Lebesgue measure and follow it with a detailed study of Borel measures on locally compact Hausdorff spaces. Lp spaces and pro…

• Swayam
• 12 weeks
• 21st Jul, 2024
• Free Online Course

IMSC;  NPTEL

Measure and Integration

A 12-week IMSC course delving into the theory of measure and integration, covering abstract measures, Lebesgue integral, differentiation, integration, product spaces, and L^p-spaces. Prerequisite: MSc in Mathematics.

• Swayam
• 12 weeks
• 21st Jul, 2024
• Free Online Course

The Bright Side of Mathematics

Measure Theory

This course covers Sigma algebra, Borel Sigma algebra, measure, Lebesgue integral, Monotone convergence theorem, Fatou's Lemma, Carathéodory's extension theorem, Lebesgue-Stieltjes measures, Radon-Nikodym

• YouTube
• 5 hours
• On-Demand
• Free Online Course

Friedrich–Alexander University Erlangen–Nürnberg

Quantum Theory

Axioms of Quantum Mechanics - Lec01 - Frederic Schuller.Banach Spaces - LEC02 - Frederiks Schullers.Separable Hilbert spaces - L03 - Frederik Schulles.Projectors,bars and kets - L05- Lec06 - Schulls.Measure Theory -Lec05- Frederic. Schulling.

• YouTube
• 1 day 15 hours
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Guido De Philippis - PDE Constrained Measures III

Learn about PDE constrained measures from Guido De Philippis in less than an hour with the Hausdorff Center for Mathematics.

• YouTube
• 35 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Vietoris-Rips Thickenings - Problems for Birds and Frogs

Explore open problems related to Vietoris-Rips complexes in this 1-2 hour material from the Applied Algebraic Topology Network. Ideal for both broad theory and problem-solving mathematicians.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

On Density of Sobolev Functions on Euclidean Domains

Explore the density of Sobolev space and removability of sets of measure zero in this under 1-hour material from Hausdorff Center for Mathematics.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

On Some Tight Convexity Inequalities for Symmetric Convex Sets

Explore tight convexity inequalities for symmetric convex sets in this under 1-hour material from Hausdorff Center for Mathematics. Dive into the Ehrhard inequality, isoperimetric problem, and energy minimization.

• YouTube
• 40 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Introduction to Ergodic Theory 1

Dive into ergodic theory with ICTP Mathematics. Learn measure theory, sigma algebra, and Lebesgue measure construction in under an hour.

• YouTube
• 48 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Is There a Triangle Inequality for Measures of Compact, Convex Sets?

Explore the relationship between convex sets, surface area, and measures in mathematics with the Hausdorff Center for Mathematics. Delve into supermodularity and Radon measures in 25 minutes.

• YouTube
• 25 minutes
• On-Demand
• Free Online Course

Alan Turing Institute

Semantic Models for Higher-Order Bayesian Inference - Sam Staton, University of Oxford

Explore Bayesian modelling and inference through probabilistic programming with the University of Oxford's Sam Staton. Learn about higher order measure theory and modular inference algorithms.

• YouTube
• 41 minutes
• On-Demand
• Free Online Course

The Bright Side of Mathematics

Maßtheorie und Integrationstheorie

Dive into measure and integration theory with The Bright Side of Mathematics. Explore sigma-algebra, Lebesgue integrals, and the principle of Cavalieri in a 4-5 hour study.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Online Course

NPTEL;  IIT Bombay

Measure Theory - IITB

This is a course on the concepts of Measure and Integration. Normally, this is a core course for M,.Sc. Mathematics and Statistics students. The concepts find applications in advance Analysis Courses, Signal Processing, Financial Mathematics courses. B.T…

• Swayam
• 12 weeks
• Finished
• Free Online Course

IMSC;  NPTEL

Measure Theory - IMSc

Measure theory is a tool for carrying out integration which behaves well with taking limits, and admitting a vast class of functions for which Riemann's integration theory is not applicable. Real-world applications of measure theory can be found in physi…

• Swayam
• 12 weeks
• Finished
• Free Online Course