Linear algebra grind!

Added 2022-03-24

Spent 10 hours doing math! Writing up Axler solutions. Numerical methods (Chebyshev) are cool


Got up at 8 did my exercise and running and started work by 9.

Spent 6.5h writing up ladoneright-solutions. Mostly just writing up stuff I'd already solved

Spent 3h reading hamming's book on numerical methods, it's SOO good. diden't do the exercises though so I was kinda surface level reading, realized my calculus is quite rusty. will drill that at some point

Reading hamming's book is so cool, he fearlessly computes hairy expressions and given the book was published around 1950 I don't think he used a symbolic algebra system.

I want to be able to compute like that, many great scientists were fantastic at calculations (feynman, fermi, von neumann). And calculation helps build intuition.

Spent 30m Reviewing trig identities and messing with chebyshev polynomials, writing trig identities in terms of eulers formula is quite illuminating. I using complex numbers I can compress trig identities into polynomial and exponential identities. This is quite nice.

Maybe I'll write a book on highschool math at some point? My understanding now is so much better then the way it's typically taught, but I'm not sure if you could directly learn things the way I think of them now because a lot of the analogies I think in are from more advanced parts of math.

Started a geometric algebra discord group so we can learn it at the same time, which'll hopefully boost productivity

Great day in terms of productive time, though I should have done some exercises instead of just reading, and I diden't learn any physics like I said I would yesterday.

I need to focus on studying math till 12, since lots of writing up solutions can be easy. Today for instance I breezed through most of the exercises in less then 10m.

I'm worried I'll hurt my hands typing all day, might invest some money in an ergonomic keyboard.