The History of Linear Algebra

References
Carl Benjamin Boyer, and Uta C Merzbach. A History of Mathematics. Hoboken, N.J., Wiley, Cop, 2011.

Restivo, Sal. Mathematics in Society and History. Dordrecht Springer Netherlands, 1992.

[pandabearguy]

Now it's time to do the linear algebra of history

[lynabouikni]

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.

[stapleman]

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.

[HighMojo]

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.

[vikraal]

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.

[michaeldamolsen]

Wonderful to see you include maths history from outside of Europe. I have subscribed immediately, hoping to see more like this.

[sayantanmazumdar]

It's always so fascinating to learn how the most befuddling of concepts in the universe originated from such elementary ideas.

[noproof]

Hard to believe this is your only video yet it is so well made. I appreciate you and this video, thank you.

[ultrametric]

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.

[hero_triple]

As someone who’s studying linear algebra, thank to you I understand how important it is and what I’m actually doing

[shekharruler]

Great... Love knowing about history of mathematics and these videos helps a lot. Keep producing similar videos

[tariqerwa]

This is amazing, thank you, was recommended after watching a geometric algebra video

[phenixorbitall]

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!

[nafisfaisal]

Amazing video, please make more videos like these. One on vector analysis and tensor analysis would be nice

[spiderjerusalem]

Sheldon Axler's linear algebra done right is a book someone must inevitably read

[eyondev]

Awesome video! Are you planning on making videos like this for other math topics?

[curtpiazza]

Love the portraits of the mathematicians! 😊

[BlitzHitz]

This was beautiful. Thank you for sharing it.

[SamueleCastiglioni]

that was great, why aren't there other videos?

[martinmalloy]

Thank you this gem, Grüße aus Deutschland