Thank you so much for making this video. It not only presents a brief history of linear algebra but also gives a solid idea of what is Linear Algebra and why it matters.
Thank you, I really appreciate the comment! I made this as a final project for a class I took last semester, I had fun making this and I'd like to do another when I get some time for it
It's amazing to think how in the long history of humanity, our most important tool of modern math was developed in the last ~300 years. People had glimpses of it maybe in the last 2k years.
I knew about Chinese roots of linear algebra and I came to realize that they actually went one step further than Al Khiwarzmi who is considered father of algebra. Ancient Chinese were doing algebra back in 600 AD.
I have always been amazed at what linear algebra could do, and have always taken for granted that it was always like this, it's good to put a face on linear algebra and learn that it too has evolved over time with many brilliant mathematicians making contributions to what it is today.
I would have to disagree that the "solving systems" part is the most fundamental. Rather, it's the idea of proportional change and homogeneity - namely, a small change in input produces a small change in output for some suitable measure. So for example, when analyzing space and time in physics, linearity turns out to be one of the fundamental principles underneath everything, because of this proportionality property. This is true in both relativity and quantum theory. It is true that historically linear algebra arose from the analysis of systems.
Simply wow! I always wondered how on earth would humans get the idea for linear algebra 👍 In my head linear algebra has ALWAYS been a mess! Now I see clearer...Thank you so much!
Thank you! I don't plan to stick to strictly math topics in any future videos but there are definitely other math topics I feel like I could cover decently well. I've found a bunch of good math content that has helped me all the way through differential equations so I feel like I don't have anything particularly enlightening to say about a lot of topics that people couldn't already find better explained elsewhere, but there are some topics I think I could cover that would make sense for me to and that I know enough about to feel confident in making.
Now it's time to do the linear algebra of history
Thank you so much for making this video. It not only presents a brief history of linear algebra but also gives a solid idea of what is Linear Algebra and why it matters.
Thank you, I really appreciate the comment! I made this as a final project for a class I took last semester, I had fun making this and I'd like to do another when I get some time for it
@@gRocket6196 Can't wait to watch the next video!! Good luck.
It's amazing to think how in the long history of humanity, our most important tool of modern math was developed in the last ~300 years. People had glimpses of it maybe in the last 2k years.
I knew about Chinese roots of linear algebra and I came to realize that they actually went one step further than Al Khiwarzmi who is considered father of algebra. Ancient Chinese were doing algebra back in 600 AD.
Hard to believe this is your only video yet it is so well made. I appreciate you and this video, thank you.
I have always been amazed at what linear algebra could do, and have always taken for granted that it was always like this, it's good to put a face on linear algebra and learn that it too has evolved over time with many brilliant mathematicians making contributions to what it is today.
Wonderful to see you include maths history from outside of Europe. I have subscribed immediately, hoping to see more like this.
it's irrelevant, actually.
It's always so fascinating to learn how the most befuddling of concepts in the universe originated from such elementary ideas.
As someone who’s studying linear algebra, thank to you I understand how important it is and what I’m actually doing
Great... Love knowing about history of mathematics and these videos helps a lot. Keep producing similar videos
Thank you very much, I'm glad someone got some good use out of my video! When I get some time I'd like to do another one, I really enjoyed making this
@Mateo Cyrus flixportal xD
This is amazing, thank you, was recommended after watching a geometric algebra video
Amazing video, please make more videos like these. One on vector analysis and tensor analysis would be nice
I would have to disagree that the "solving systems" part is the most fundamental. Rather, it's the idea of proportional change and homogeneity - namely, a small change in input produces a small change in output for some suitable measure. So for example, when analyzing space and time in physics, linearity turns out to be one of the fundamental principles underneath everything, because of this proportionality property. This is true in both relativity and quantum theory. It is true that historically linear algebra arose from the analysis of systems.
You pretty much described continuity which is more of a calculus concept
@@mrhatman675 The exponent function is continuous, but it's not linear, and doesn't capture what the original commenter was talking about.
@@mrhatman675 yep, you are right.
@@chrimony why not?
@@samueldeandrade8535 Do you not understand the difference between a linear function and an exponential one?
underrated channel
pls make more of this ;) these vids make me actually interested in my college math
How it feels watching this video after taking a course in linear algebra -"I've learned the methods of the ancient ones."
Simply wow! I always wondered how on earth would humans get the idea for linear algebra 👍 In my head linear algebra has ALWAYS been a mess! Now I see clearer...Thank you so much!
Awesome video! Are you planning on making videos like this for other math topics?
Thank you! I don't plan to stick to strictly math topics in any future videos but there are definitely other math topics I feel like I could cover decently well. I've found a bunch of good math content that has helped me all the way through differential equations so I feel like I don't have anything particularly enlightening to say about a lot of topics that people couldn't already find better explained elsewhere, but there are some topics I think I could cover that would make sense for me to and that I know enough about to feel confident in making.
@@gRocket6196are you still planning to make new videos?
Sheldon Axler's linear algebra done right is a book someone must inevitably read
At 2:56 shouldn’t z = 2 dou 3/4?
This was beautiful. Thank you for sharing it.
that was great, why aren't there other videos?
Love the portraits of the mathematicians! 😊
More of these, please!
hey brother we're waiting for other new videos. thank you!
Great video :)
most beautiful math
great explanation, thanks!
Love the video
1:11
Now I can understand the origin of the stereotype of Chinese being good at math came from
8:09 Legendre.
terrific video my friend
Abstract algebra?
Nicely done
This is great!
Great video! Thanks!
Great video!!
Thank you this gem, Grüße aus Deutschland
Great!
Very good
Gold!
A historian speaks herein
Leobnitz was just independently inventing stuff all over the place huh
Basically. A truly great mind he was.
Jiu zhang Suan jing, = nine chapters of mathematics.
vocal fry champ
Not talking about huseyin tevfik Pasha when you are talking lineer algebra is crime