i don't really care how many people i respect liked it, i have to be honest, i hated strang's "linear algebra and its applications."
there's a strang text on computational science that was much more my speed (less of the baby talk and repetitive manual arithmetic exercises) and i think that some of the revisions that came later (+ "learning with data") were better.
i did not find doing endless exercises of gaussian elimination or qr factorization by hand on small matrices to be all that enlightening.
less of the ... repetitive manual arithmetic exercises
I think this post (from a math academy employee) has a good argument for why these sorts of exercises are important. It's about basic arithmetic, but I think it applies to tedious things like performing gaussian elimination on small matrices as well.
I like to come at it from both angles - higher level with useful applications, and then lower level "I could maybe implement this if I had to" exercises. The latter are tedious, and hard to motivate effort for without the former. Ultimately, as the post argues, I agree that if you don't understand the lower level (tedious) operations, you will only get so far in your ability to apply LA.
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i don't really care how many people i respect liked it, i have to be honest, i hated strang's "linear algebra and its applications."
there's a strang text on computational science that was much more my speed (less of the baby talk and repetitive manual arithmetic exercises) and i think that some of the revisions that came later (+ "learning with data") were better.
i did not find doing endless exercises of gaussian elimination or qr factorization by hand on small matrices to be all that enlightening.
this michigan course looks awesome!
I think this post (from a math academy employee) has a good argument for why these sorts of exercises are important. It's about basic arithmetic, but I think it applies to tedious things like performing gaussian elimination on small matrices as well.
https://www.justinmath.com/if-you-want-to-learn-algebra-you-...
I like to come at it from both angles - higher level with useful applications, and then lower level "I could maybe implement this if I had to" exercises. The latter are tedious, and hard to motivate effort for without the former. Ultimately, as the post argues, I agree that if you don't understand the lower level (tedious) operations, you will only get so far in your ability to apply LA.