(PP 1.1) Measure theory: Why measure theory - The Banach-Tarski Paradox
Why Mathematics Stack Exchange recommends it
Mathematics Stack Exchange users link it, usually as part of the Probability Primer playlist, when someone wants beginner-friendly online videos on measure theory, sigma algebras and probability.
Recommended by 1 people across 1 different months, 2015 to 2021.
What it is
The opening lecture of mathematicalmonk's Probability Primer series. It introduces the series and then motivates measure theory using the Banach-Tarski paradox, showing why not every subset of space can be assigned a volume.
What people said
Recommends JKnecht · 2016-05 · Mathematics Stack Exchange · on “Where do I start learning Higher Mathematics?”
Khan academy might be a good starting point. On youtube you can watch hundreds of their short videos on subjects like algebra, calculus, number theory, probability, linear algebra, geometry, trigonometry etc. When you feel like you master that material you can move on to MIT OpenCourseWare on youtube. Gilbert Strang's Linear algebra. David Jerison's Single variable calculus. Denis Auroux's Multivariable calculus. Tom Leighton's Mathematics for Computer Science. They also have courses on probability, statistics, differential equations etc. Other personal favourites, which i actually liked more than MIT, are these Discrete Mathematics. Arsdigita University. Instructor: Shai Simonson [LINK] The
Recommends JKnecht · 2016-05 · Mathematics Stack Exchange · on “Recommend of English video about math”
These all have english subtitles and are are highly enjoyable: Discrete Mathematics. Arsdigita University. Instructor: Shai Simonson [LINK] The Fourier Transforms and its Applications. Standford. Professor Brad Osgood [LINK] Probability. Harvard [LINK] Probability Primer. Mathematicalmonk's channel [this video] General topology from the very basics, including set theory, techniques for proofs [LINK] Graph theory by Sarada Herke [LINK] Short course on writing proofs in mathematics by Sidney Morris [LINK]
Recommends JKnecht · 2016-05 · Mathematics Stack Exchange · on “Book recommendation and online learning resources for mathematics as a hobby.”
Khan academy might be a good starting point. On youtube you can watch hundreds of their short videos on subjects like algebra, calculus, probability, linear algebra etc. When you feel like you master that material you can move on to MIT OpenCourseWare on youtube. Gilbert Strang's Linear algebra. David Jerison's Single variable calculus. Denis Auroux's Multivariable calculus. Tom Leighton's Mathematics for Computer Science. They also have courses on probability, statistics, differential equations etc. Other personal favourites, which i actually liked more than MIT, are these Discrete Mathematics. Arsdigita University. Instructor: Shai Simonson [LINK] The Fourier Transforms and its Application
Cites Mayank Tiwari · 2015-12 · Mathematics Stack Exchange · on “Good book for learing sigma algebra?”
I am beginner in probability theory. In order to make a better understanding of Borel Sets, Measurable Space and Random Variable, I need to learn about algebra and sigma algebra , Can anyone please suggest any good book that covers these topics for beginners with sufficient questions (questions on algebra and sigma algebra). Note: I have already seen these links link1 [LINK] , link2 [this video] and link3 [LINK] Please help me.
Cites Rick · 2021-11 · Mathematics Stack Exchange · on “Online videos on Measure theory.”
I was trying to comment on the currently accepted answer but unfortunately, I do not have enough reputation to do that. For some reason, the link in that answer does not work for me. With some tricks I find this link to be working [this video] which is "Probability Primer" by "mathematicalmonk". This channel is also pointed out by another answer. I hope this helps!