5 ms·

How are his videos on linear algebra? Could they serve as a complete resource to learn linear algebra or would you want something alongside/more material?

pixelperfect 8y ago
His videos on linear algebra are excellent, but they are not a complete resource. If you want a comprehensive resource, search for the LA course by "maththebeautiful" on YouTube. Also check out Gilbert Strang's MIT lectures.
- espeed 8y ago
  Indeed, the MIT lectures by Prof Strang and the MathTheBeautiful videos by Prof Grinfeld provide perfect pairings to go with the enhanced visual intuition you acquire on 3Blue1Brown. NB: MathTheBeautiful [1] is by MIT alum Pavel Grinfeld [2]. He approaches Linear Algebra from a geometric perspective as well, but with more emphasis on the mechanics of solving equations. He has a ton of videos organized into several courses, ranging from in-depth Intro to Linear Algebra courses to more advanced courses on PDEs and Tensor Calculus. Highly recommended. Esp note his video on Legendre polynomials [3] and Why {1,x,x²} Is a Terrible Basis: https://www.youtube.com/watch?v=pYoGYQOXqTk&index=14&list=PL. https://www.youtube.com/watch?v=pYoGYQOXqTk&index=14&list=PL.... [1] MathTheBeautiful https://www.youtube.com/channel/UCr22xikWUK2yUW4YxOKXclQ https://www.youtube.com/channel/UCr22xikWUK2yUW4YxOKXclQ [2] https://en.wikipedia.org/wiki/Pavel_Grinfeld https://en.wikipedia.org/wiki/Pavel_Grinfeld [3] https://en.wikipedia.org/wiki/Legendre_polynomials https://en.wikipedia.org/wiki/Legendre_polynomials
- espeed 8y ago
  search for the LA course by "maththebeautiful" on YouTube. Also check out Gilbert Strang's MIT lectures. I just realized there's a deep connection among your recommendations...Gilbert Strang was Greenfield's PhD advisor: https://dspace.mit.edu/handle/1721.1/29345 https://dspace.mit.edu/handle/1721.1/29345. Pavel has a clear and precise teaching style like Strang, and I've heard him reference Prof's Strang's courses before but didn't make the connection. Good trees produce good fruit. The small world graph and the truth of that never ceases to amaze. Good trees, good stuff.
jlos 8y ago
They are absolutely amazing for the intuition but lack the mechanics, both of which are essential for linear algebra. The calculations are necessary, but without the intuition they will seem meaningless and the nuances will be difficult to remember. I would pair with Gilbert Strang MIT open courseware and Khan Academy. The 3 together made linear algebra probably the most useful mathematics class Ive taken.
amoorthy 8y ago
I loved his videos on linear algebra. Were far more intuitive than anything I studied in engineering. In particular, the way he describes what a determinant is, and what value it has, is excellent. I'm proud to be a Patreon supporter of 3Blue1Brown.

pixelperfect 8y ago

His videos on linear algebra are excellent, but they are not a complete resource. If you want a comprehensive resource, search for the LA course by "maththebeautiful" on YouTube. Also check out Gilbert Strang's MIT lectures.

espeed 8y ago
Indeed, the MIT lectures by Prof Strang and the MathTheBeautiful videos by Prof Grinfeld provide perfect pairings to go with the enhanced visual intuition you acquire on 3Blue1Brown. NB: MathTheBeautiful [1] is by MIT alum Pavel Grinfeld [2]. He approaches Linear Algebra from a geometric perspective as well, but with more emphasis on the mechanics of solving equations. He has a ton of videos organized into several courses, ranging from in-depth Intro to Linear Algebra courses to more advanced courses on PDEs and Tensor Calculus. Highly recommended. Esp note his video on Legendre polynomials [3] and Why {1,x,x²} Is a Terrible Basis: https://www.youtube.com/watch?v=pYoGYQOXqTk&index=14&list=PL. https://www.youtube.com/watch?v=pYoGYQOXqTk&index=14&list=PL.... [1] MathTheBeautiful https://www.youtube.com/channel/UCr22xikWUK2yUW4YxOKXclQ https://www.youtube.com/channel/UCr22xikWUK2yUW4YxOKXclQ [2] https://en.wikipedia.org/wiki/Pavel_Grinfeld https://en.wikipedia.org/wiki/Pavel_Grinfeld [3] https://en.wikipedia.org/wiki/Legendre_polynomials https://en.wikipedia.org/wiki/Legendre_polynomials
espeed 8y ago
search for the LA course by "maththebeautiful" on YouTube. Also check out Gilbert Strang's MIT lectures. I just realized there's a deep connection among your recommendations...Gilbert Strang was Greenfield's PhD advisor: https://dspace.mit.edu/handle/1721.1/29345 https://dspace.mit.edu/handle/1721.1/29345. Pavel has a clear and precise teaching style like Strang, and I've heard him reference Prof's Strang's courses before but didn't make the connection. Good trees produce good fruit. The small world graph and the truth of that never ceases to amaze. Good trees, good stuff.

jlos 8y ago

They are absolutely amazing for the intuition but lack the mechanics, both of which are essential for linear algebra. The calculations are necessary, but without the intuition they will seem meaningless and the nuances will be difficult to remember. I would pair with Gilbert Strang MIT open courseware and Khan Academy. The 3 together made linear algebra probably the most useful mathematics class Ive taken.

amoorthy 8y ago

I loved his videos on linear algebra. Were far more intuitive than anything I studied in engineering. In particular, the way he describes what a determinant is, and what value it has, is excellent. I'm proud to be a Patreon supporter of 3Blue1Brown.