-
Flow (mathematics)
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Flow (mathematics)
In mathematics, a flow formalizes the idea of the motion of particles in a fluid.Flows are ubiquitous in science, including engineering and physics.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=gEPyZpL_B7Y
published: 22 Jan 2016
-
Math's Fundamental Flaw
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Pres...
published: 22 May 2021
-
The Science of Rap: Using #mathematics to build a #rap #flow?!
published: 23 Mar 2023
-
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Visualizing two core operations in calculus. (Small error correction below)
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/divcurl-thanks
My work on this topic at Khan Academy: https://www.khanacademy.org/math/multivariable-calculus/multivariable-derivatives
Timestamps
0:00 - Vector fields
2:15 - What is divergence
4:31 - What is curl
5:47 - Maxwell's equations
7:36 - Dynamic systems
10:37 - Explaining the notation
13:28 - No more sponsor messages
Correction at 4:55, the narration should say "counterclockwise rotation gives positive curl, clockwise rotation gives negative curl". The diagram is correct, though.
For more fun fluid-flow illustrat...
published: 21 Jun 2018
-
Anyone Can Be a Math Person Once They Know the Best Learning Techniques | Po-Shen Loh | Big Think
Anyone Can Be a Math Person Once They Know the Best Learning Techniques
New videos DAILY: https://bigth.ink
Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge
----------------------------------------------------------------------------------
Po-Shen Loh is a Hertz Foundation Fellow and Carnegie Mellon mathematics professor who thinks that history is a much harder subject than math. Do you agree? Well, your position on that might change before and after this video. Loh illuminates the invisible ladders within the world of math, and shows that it isn't about memorizing formulas—it's about processing reason and logic. With the support of the Fannie and John Hertz Foundation, Po-Shen Loh pursued a PhD in combinatorics at the Pure Math Departme...
published: 19 Mar 2017
-
Differential equations, a tourist's guide | DE1
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you m...
published: 31 Mar 2019
-
GCSE Mathematics - Flow Rate
Learn how to interpret water flowing through a pipe at a given rate, and how to apply this to a typical GCSE Mathematics question.
I've been teaching and tutoring Mathematics for years, the last 5 of them working internationally. Please get in touch if you want a personal video helping you with a question.
I am the owner and founder of the Boston Tutoring Company. If you are looking for a passionate tutor to help you reach your education goals, please reach out today:
[email protected]
published: 25 Feb 2020
-
Mathematics - Grade 5 - Flow diagrams
published: 26 Jan 2021
-
Research Seminar "Modern Dynamical Systems" Skripchenko A., Lando
18.02.25
published: 19 Feb 2025
-
Feynman-"what differs physics from mathematics"
A simple explanation of physics vs mathematics by RICHARD FEYNMAN
published: 15 Oct 2018
8:00
Flow (mathematics)
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Flow (mathematics)
In mathemati...
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Flow (mathematics)
In mathematics, a flow formalizes the idea of the motion of particles in a fluid.Flows are ubiquitous in science, including engineering and physics.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=gEPyZpL_B7Y
https://wn.com/Flow_(Mathematics)
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Flow (mathematics)
In mathematics, a flow formalizes the idea of the motion of particles in a fluid.Flows are ubiquitous in science, including engineering and physics.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=gEPyZpL_B7Y
- published: 22 Jan 2016
- views: 302
34:00
Math's Fundamental Flaw
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is ...
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013
Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970
Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019
Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006
Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010
Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare
Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995
Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931
Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910
Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986
Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Executive Producer: Derek Muller
Writers: Adam Becker, Jonny Hyman, Derek Muller
Animators: Fabio Albertelli, Jakub Misiek, Ivy Tello, Jonny Hyman
SFX & Music: Jonny Hyman
Camerapeople: Derek Muller, Raquel Nuno
Editors: Derek Muller
Producers: Petr Lebedev, Emily Zhang
Additional video supplied by Getty Images
Thumbnail by Geoff Barrett
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
https://wn.com/Math's_Fundamental_Flaw
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013
Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970
Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019
Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006
Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010
Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare
Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995
Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931
Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910
Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986
Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Executive Producer: Derek Muller
Writers: Adam Becker, Jonny Hyman, Derek Muller
Animators: Fabio Albertelli, Jakub Misiek, Ivy Tello, Jonny Hyman
SFX & Music: Jonny Hyman
Camerapeople: Derek Muller, Raquel Nuno
Editors: Derek Muller
Producers: Petr Lebedev, Emily Zhang
Additional video supplied by Getty Images
Thumbnail by Geoff Barrett
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
- published: 22 May 2021
- views: 28424780
15:42
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Visualizing two core operations in calculus. (Small error correction below)
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable...
Visualizing two core operations in calculus. (Small error correction below)
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/divcurl-thanks
My work on this topic at Khan Academy: https://www.khanacademy.org/math/multivariable-calculus/multivariable-derivatives
Timestamps
0:00 - Vector fields
2:15 - What is divergence
4:31 - What is curl
5:47 - Maxwell's equations
7:36 - Dynamic systems
10:37 - Explaining the notation
13:28 - No more sponsor messages
Correction at 4:55, the narration should say "counterclockwise rotation gives positive curl, clockwise rotation gives negative curl". The diagram is correct, though.
For more fun fluid-flow illustrations, which heavily influenced how I animated this video, I think you'll really enjoy this site:
https://anvaka.github.io/fieldplay/
Music by Vincent Rubinetti:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
https://wn.com/Divergence_And_Curl_The_Language_Of_Maxwell's_Equations,_Fluid_Flow,_And_More
Visualizing two core operations in calculus. (Small error correction below)
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/divcurl-thanks
My work on this topic at Khan Academy: https://www.khanacademy.org/math/multivariable-calculus/multivariable-derivatives
Timestamps
0:00 - Vector fields
2:15 - What is divergence
4:31 - What is curl
5:47 - Maxwell's equations
7:36 - Dynamic systems
10:37 - Explaining the notation
13:28 - No more sponsor messages
Correction at 4:55, the narration should say "counterclockwise rotation gives positive curl, clockwise rotation gives negative curl". The diagram is correct, though.
For more fun fluid-flow illustrations, which heavily influenced how I animated this video, I think you'll really enjoy this site:
https://anvaka.github.io/fieldplay/
Music by Vincent Rubinetti:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
- published: 21 Jun 2018
- views: 4499487
3:53
Anyone Can Be a Math Person Once They Know the Best Learning Techniques | Po-Shen Loh | Big Think
Anyone Can Be a Math Person Once They Know the Best Learning Techniques
New videos DAILY: https://bigth.ink
Join Big Think Edge for exclusive video lessons fr...
Anyone Can Be a Math Person Once They Know the Best Learning Techniques
New videos DAILY: https://bigth.ink
Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge
----------------------------------------------------------------------------------
Po-Shen Loh is a Hertz Foundation Fellow and Carnegie Mellon mathematics professor who thinks that history is a much harder subject than math. Do you agree? Well, your position on that might change before and after this video. Loh illuminates the invisible ladders within the world of math, and shows that it isn't about memorizing formulas—it's about processing reason and logic. With the support of the Fannie and John Hertz Foundation, Po-Shen Loh pursued a PhD in combinatorics at the Pure Math Department at Princeton University.
----------------------------------------------------------------------------------
PO-SHEN LOH:
Po-Shen Loh, PhD, is associate professor of mathematics at Carnegie Mellon University, which he joined, in 2010, as an assistant professor in the Department of Mathematical Sciences. As a Hertz Fellow, Professor Loh received his PhD in combinatorics of the Pure Math Department at Princeton University. His thesis discussed several original results that he discovered during his graduate study in joint projects with his advisor and other collaborators. Professor Loh studies questions that lie at the intersection of two branches of mathematics: combinatorics (the study of discrete systems) and probability theory.
Prior to his work at Princeton, Loh received the equivalent of a master's degree in mathematics from the University of Cambridge (United Kingdom) in 2005, where he was supported by a Winston Churchill Foundation Scholarship. He received his undergraduate degree in mathematics from Caltech in 2004, graduating first in his class, and his undergraduate thesis later received the Honorable Mention for the 2004 AMS-MAA-SIAM Morgan Prize.
In his spare time, Loh has maintained his involvement with the United States Mathematical Olympiad program. He is now the head coach of the national delegation, as well as a lead fundraiser for the organization. As a high school student, he won a silver medal at the 1999 International Mathematical Olympiad (IMO), and following his win continued to be active in the training of high school students at the U.S. national Math Olympiad Summer Program. In 2004, he served as the deputy leader for the U.S. team at the IMO in Athens, Greece, where our national team placed second. After completing his PhD, Loh again, served as deputy team leader for the United States at the International Mathematical Olympiad from 2010 to 2013. Afterwards Professor Loh was promoted to national head coach of the U.S.A. IMO team, and on his second attempt, Team U.S.A. won first place, in a competition with teams from over 100 countries represented.
Earlier this year, Loh received an NSF CAREER award, the most prestigious NSF award for junior faculty, which honors outstanding research combined with a commitment to teaching. Professor Loh is the founder of the educational technology startup expii.com, a crowd-sourced platform for the world to share interactive lessons in math and science.
----------------------------------------------------------------------------------
TRANSCRIPT:
Po-Shen Lo: I think that everyone in the world could be a math person if they wanted to. The keyword though, I want to say, is if they wanted to. That said, I do think that everyone in America could benefit from having that mathematical background in reasoning just to help everyone make very good decisions. And here I'm distinguishing already between math as people usually conceive of it, and decision making and analysis, which is actually what I think math is.
So, for example, I don't think that being a math person means that you can recite the formulas between the sines, cosines, tangents and to use logarithms and exponentials interchangeably. That's not necessarily what I think everyone should try to concentrate to understand. The main things to concentrate to understand are the mathematical principles of reasoning.
But let me go back to these sines, cosines and logarithms. Well actually they do have value. What they are is that they are ways to show you how these basic building blocks of reasoning can be used to deduce surprising things or difficult things. In some sense they're like the historical coverages of the triumphs of mathematics, so one cannot just talk abstractly about “yes let's talk about mathematical logic”, it's actually quite useful to have case studies or stories, which are these famous theorems.
Now, I actually think that these are accessible to everyone. I think that actually one reason mathematics is difficult to understand is actua...
For the full transcript, check out https://bigthink.com/videos/po-shen-loh-says-anyone-can-be-a-math-person-if-they-know-the-best-learning-techniques
https://wn.com/Anyone_Can_Be_A_Math_Person_Once_They_Know_The_Best_Learning_Techniques_|_Po_Shen_Loh_|_Big_Think
Anyone Can Be a Math Person Once They Know the Best Learning Techniques
New videos DAILY: https://bigth.ink
Join Big Think Edge for exclusive video lessons from top thinkers and doers: https://bigth.ink/Edge
----------------------------------------------------------------------------------
Po-Shen Loh is a Hertz Foundation Fellow and Carnegie Mellon mathematics professor who thinks that history is a much harder subject than math. Do you agree? Well, your position on that might change before and after this video. Loh illuminates the invisible ladders within the world of math, and shows that it isn't about memorizing formulas—it's about processing reason and logic. With the support of the Fannie and John Hertz Foundation, Po-Shen Loh pursued a PhD in combinatorics at the Pure Math Department at Princeton University.
----------------------------------------------------------------------------------
PO-SHEN LOH:
Po-Shen Loh, PhD, is associate professor of mathematics at Carnegie Mellon University, which he joined, in 2010, as an assistant professor in the Department of Mathematical Sciences. As a Hertz Fellow, Professor Loh received his PhD in combinatorics of the Pure Math Department at Princeton University. His thesis discussed several original results that he discovered during his graduate study in joint projects with his advisor and other collaborators. Professor Loh studies questions that lie at the intersection of two branches of mathematics: combinatorics (the study of discrete systems) and probability theory.
Prior to his work at Princeton, Loh received the equivalent of a master's degree in mathematics from the University of Cambridge (United Kingdom) in 2005, where he was supported by a Winston Churchill Foundation Scholarship. He received his undergraduate degree in mathematics from Caltech in 2004, graduating first in his class, and his undergraduate thesis later received the Honorable Mention for the 2004 AMS-MAA-SIAM Morgan Prize.
In his spare time, Loh has maintained his involvement with the United States Mathematical Olympiad program. He is now the head coach of the national delegation, as well as a lead fundraiser for the organization. As a high school student, he won a silver medal at the 1999 International Mathematical Olympiad (IMO), and following his win continued to be active in the training of high school students at the U.S. national Math Olympiad Summer Program. In 2004, he served as the deputy leader for the U.S. team at the IMO in Athens, Greece, where our national team placed second. After completing his PhD, Loh again, served as deputy team leader for the United States at the International Mathematical Olympiad from 2010 to 2013. Afterwards Professor Loh was promoted to national head coach of the U.S.A. IMO team, and on his second attempt, Team U.S.A. won first place, in a competition with teams from over 100 countries represented.
Earlier this year, Loh received an NSF CAREER award, the most prestigious NSF award for junior faculty, which honors outstanding research combined with a commitment to teaching. Professor Loh is the founder of the educational technology startup expii.com, a crowd-sourced platform for the world to share interactive lessons in math and science.
----------------------------------------------------------------------------------
TRANSCRIPT:
Po-Shen Lo: I think that everyone in the world could be a math person if they wanted to. The keyword though, I want to say, is if they wanted to. That said, I do think that everyone in America could benefit from having that mathematical background in reasoning just to help everyone make very good decisions. And here I'm distinguishing already between math as people usually conceive of it, and decision making and analysis, which is actually what I think math is.
So, for example, I don't think that being a math person means that you can recite the formulas between the sines, cosines, tangents and to use logarithms and exponentials interchangeably. That's not necessarily what I think everyone should try to concentrate to understand. The main things to concentrate to understand are the mathematical principles of reasoning.
But let me go back to these sines, cosines and logarithms. Well actually they do have value. What they are is that they are ways to show you how these basic building blocks of reasoning can be used to deduce surprising things or difficult things. In some sense they're like the historical coverages of the triumphs of mathematics, so one cannot just talk abstractly about “yes let's talk about mathematical logic”, it's actually quite useful to have case studies or stories, which are these famous theorems.
Now, I actually think that these are accessible to everyone. I think that actually one reason mathematics is difficult to understand is actua...
For the full transcript, check out https://bigthink.com/videos/po-shen-loh-says-anyone-can-be-a-math-person-if-they-know-the-best-learning-techniques
- published: 19 Mar 2017
- views: 2144635
27:16
Differential equations, a tourist's guide | DE1
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos...
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
https://wn.com/Differential_Equations,_A_Tourist's_Guide_|_De1
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
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Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
- published: 31 Mar 2019
- views: 4396680
3:59
GCSE Mathematics - Flow Rate
Learn how to interpret water flowing through a pipe at a given rate, and how to apply this to a typical GCSE Mathematics question.
I've been teaching and tutor...
Learn how to interpret water flowing through a pipe at a given rate, and how to apply this to a typical GCSE Mathematics question.
I've been teaching and tutoring Mathematics for years, the last 5 of them working internationally. Please get in touch if you want a personal video helping you with a question.
I am the owner and founder of the Boston Tutoring Company. If you are looking for a passionate tutor to help you reach your education goals, please reach out today:
[email protected]
https://wn.com/Gcse_Mathematics_Flow_Rate
Learn how to interpret water flowing through a pipe at a given rate, and how to apply this to a typical GCSE Mathematics question.
I've been teaching and tutoring Mathematics for years, the last 5 of them working internationally. Please get in touch if you want a personal video helping you with a question.
I am the owner and founder of the Boston Tutoring Company. If you are looking for a passionate tutor to help you reach your education goals, please reach out today:
[email protected]
- published: 25 Feb 2020
- views: 6786
3:09
Feynman-"what differs physics from mathematics"
A simple explanation of physics vs mathematics by RICHARD FEYNMAN
A simple explanation of physics vs mathematics by RICHARD FEYNMAN
https://wn.com/Feynman_What_Differs_Physics_From_Mathematics
A simple explanation of physics vs mathematics by RICHARD FEYNMAN
- published: 15 Oct 2018
- views: 1858819