3 ms·
For someone who actually needs to understand linear algebra to create novel complex programs, this is completely insufficient and possibly needlessly distractin
by 127 3y ago
For someone who actually needs to understand linear algebra to create novel complex programs, this is completely insufficient and possibly needlessly distracting. I suggest this one instead: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 (Gilbert Strang)
Aggressively taking the least shortcuts possible is the fastest shortcut.
- seanhunter 3y agoAgree. I love the Gilbert Strang series and am working through it myself. Also, the book "Linear Algebra Done Right" by Sheldon Axler[1] is amazing. He has on his website a set of short videos and slides to accompany it[2]. It's incredibly comprehensive and takes an interesting strategy of teaching all of linear algebra in a very rigorous fashion without introducing determinants until the end. His reasoning is explained in a paper he published called "Down with Determinants!"[3]. [1] https://linear.axler.net/ https://linear.axler.net/ [2] https://linear.axler.net/LADRvideos.html https://linear.axler.net/LADRvideos.html [3] https://www.axler.net/DwD.html https://www.axler.net/DwD.html
- tptacek 3y agoAxler and Strang seem like pretty different approaches to the same subject, and if your goal is just to do stuff with linear algebra, rather than deepening your understanding of it or really getting how it generalizes to functions and stuff, Strang's approach is likely to be more immediately profitable. I like 'em both. I helped my daughter through UIUC linear algebra last semester, and Strang definitely prepped me for all the computation, all the way through the end of the class, but I needed to go back to Axler for all the proof stuff.
- seanhunter 3y agoI'm really enjoying them both for that precise reason.
- penguin_booze 3y agoI never found Strang's lectures out of ordinary nor particularly enlightening. But what managed to give me perspective was Pavel Grinfeld's playlists, starting from https://www.youtube.com/watch?v=Fnfh8jNqBlg&list=PLlXfTHzgMRUKXD88IdzS14F4NxAZudSmv https://www.youtube.com/watch?v=Fnfh8jNqBlg&list=PLlXfTHzgMR....
- tptacek 3y agoA student of Strang's, for whatever that's worth to you.
- penguin_booze 3y agoYes, I was aware, though only much after I watched his videos. To me, the didactic style is what matters, not the intellectual prowess of the mathematician in question. For this topic, and the depth to which I wanted to expose myself, I've found Pavel more accessible than anyone else.
- tptacek 3y agoI think his videos are great, too. Of course, he did his years after Strang's, which were really one of the first of their kind. But I learned linear algebra from those Strang videos, so I have a soft spot for them. (Watch them at 3x, and then at the end of each one, reward yourself by setting it back to 1x, and Gil Strang sounds like he's on a Robotussin bender.)