Measure Theory 18 | Cavalieri's principle - An example [dark version]

preview_player
Показать описание


Please consider to support me if this video was helpful such that I can continue to produce them :)

🙏 Thanks to all supporters! They are mentioned in the credits of the video :)

This is part 18 of 22 videos.

#MeasureTheory
#Analysis
#Integral
#Calculus
#Measures
#Mathematics
#Probability

I hope that this helps students, pupils and others. Have fun!

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

  1. The Bright Side of Mathematics
  2. #Maths
  3. Measures
  4. Studying
  5. Explanations
  6. Learning
Рекомендации по теме
Measure Theory 18 0:08:11

Measure Theory 18 | Cavalieri's principle - An example

Measure Theory 18 0:08:26

Measure Theory 18 | Cavalieri's principle - An example [dark version]

Measure Theory 17 0:10:28

Measure Theory 17 | Product measure and Cavalieri's principle

Measure Theory 17 0:10:43

Measure Theory 17 | Product measure and Cavalieri's principle [dark version]

Cavalieri's Principle in 0:03:40

Cavalieri's Principle in 3D | Volume of a sphere |

Cavalieri's principle in 0:04:56

Cavalieri's principle in 3D | Solid geometry | High school geometry | Khan Academy

Borel Regularity - 0:06:31

Borel Regularity - Proof | Measure Theory

Cavalieri´s Principle by 0:03:17

Cavalieri´s Principle by Alex, Alejandro and Luis Arturo

Measure Theory 15 0:11:47

Measure Theory 15 | Image measure and substitution rule

Hnbgu 2013 Measure 0:00:06

Hnbgu 2013 Measure & Integration Question paper#shorts#trending#solution link is in comment box👉...

4 22 Cavalieris 0:11:20

4 22 Cavalieris Principle

Probability and Measure, 2:16:10

Probability and Measure, Lecture 8: Product Measure and Fubini-Tonelli

Cavalieri's Principle Calculus 0:18:29

Cavalieri's Principle Calculus - Vertical Cross Sections

Measure Theory 16 0:09:47

Measure Theory 16 | Proof of the Substitution Rule for Measure Spaces

CAVALIERI, Bonaventura (1598 0:01:36

CAVALIERI, Bonaventura (1598 - 1647)

Measure Theory & 0:57:47

Measure Theory & Functional Analysis 10: Fubini-Tonelli Theorem

Cavalieri's Principle and 0:20:57

Cavalieri's Principle and composite solids

Cavalieri’s Principle (Shearing 0:02:21

Cavalieri’s Principle (Shearing Volume)

Probability and Measure, 2:16:10

Probability and Measure, Lecture 8: Product Measure and Fubini-Tonelli

9.2 - Measure 0:08:44

9.2 - Measure of the unit ball in N dimensions

Geometry 3D Cavalieri's 0:00:52

Geometry 3D Cavalieri's Principle Q118

Measure Theory 12 0:18:47

Measure Theory 12 | Carathéodory's Extension Theorem

Cavalieri's Principle 0:03:00

Cavalieri's Principle

Minor Arc and 0:08:54

Minor Arc and Major Arc Measures

Комментарии
Автор

For these high-level mathematics I sometimes wonder if they can even be used to calculate things at all or if they’re just useful for theorems. I’m glad that a very simple and concrete example of plain calculation in measure theory was given here. Thank you!

vtron
Автор

Thanks for these videos! This has been a difficult but rewarding course for me.

One question:
In this video we used the Lebesgue measure but used it in a Riemann integral. What is the purpose of the Lebesgue integral then if we aren't using it to solve these problems? To @vtron9832's point, is the Lebesgue integral only really useful for deriving theorems?

drewburns