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A bit everywhere. One thing that really bothered me is that you have to wait until chapter 3 to introduce the notion of vector spaces. I know that it is not an
by nerusskyhigh 4y ago
A bit everywhere. One thing that really bothered me is that you have to wait until chapter 3 to introduce the notion of vector spaces. I know that it is not an easy concept to grasp, but once you manage to understand it a lot of previous things become trivial.
When I was first introduced to the idea of solving linear equations, we already had the idea of space vectors and basis, so solving a system of equations was just an application of finding the coefficients of the linear combination.
> I liked his approach of “ideas first, rigor later”. I think after reading this book, you can easily grab a book with more formalism if you feel lacking rigor.
This sentence made me think. Maybe there was a disconnect between my experience (Physics background, bottom-up approach) and the one taught in the course (Data science for Linguistic, top-down). Each time I tried to use the notion and examples I had in mind with the students I found myself hitting a wall because they had not covered the topics yet.
- hadjian 4y agoThat sounds about right. I read the book and watched the lectures after I graduated. And it was just fun. The thing is that the ideas stuck and I was very grateful for that. But we can be lucky that there are so many approaches out there to pick from.
- nerusskyhigh 4y agoYou probably already know about them, but just in case: have you watched 3b1b's videos about Linear Algebra? Those did open my mind and improved my understanding of linear algebra.
- hadjian 4y agoOh yes, 3b1b is my favorite. All of them, but especially Fourier series.