- #1

nox

- 17

- 8

**Summary:**self study math books

I wanted to make a post, been a while since my last one.

I been taking a few weeks off but back studying linear algebra done right, and i notice a few things.

First i will find myself reading the chapter, and fooling myself i get it, but then struggle with the exercises, so i move on to the next chapter.

In the next chapter whenever the author uses earlier results i find myself lost, and need to return.

It is at this point i find myself taking notes through the earlier chapters, and this time the exercises makes much more sense.

Like today i did chapter 3, ex 18, and found that the author tried to throw a curved ball, he made it very tempting to use a specific theorem, until you realize you can't apply it like that. Very illuminating when i saw that, and a good lessons in learning when you can apply a theorem.

My current process to mastering the material, is to read a chapter, until i can do some exercises touching each major topic in the chapter. Then move to the next one, if i find problem with building new topics on top of earlier ones, i revisit and write detailed notes on that sub chapter, and do more problems. So it is an iterative process where i spend a day or two initially on each chapter, but regularly revisit them, and if need be do detailed notes on them as the need arise.

Slowly i feel i start to grasp concepts in non trivial ways, but i still got allot more thinking to do before i really have gained what i want from the book.

I am super curious, how do you study a math book, what methods do you do to really learn the material deeply and in the event you get interrupted for weeks, how do you pick up where you left off?