61–70 of 89 posts
I'm making youtube videos https://www.youtube.com/channel/UCafIamqsRUHoRT4496jgvMQ And I'm also working on a website that has a fair bit of the foundations: https://treena.org/ Admittedly, we don't have a huge amount of the higher stuff yet. But we are making our way through steadily :) Hopefully it's of some help to you
I'd like more math professors to make recordings of their courses. E.g. here is a pure gem [1]. This is a recording of a real analysis course from Rudin's principles of mathematical analysis (aka Baby Rudin aka the architect of many beginning mathematics students' misery). Anyone that's worked through this book knows the world of pain you're about to enter. I'd love if there was a similar recording for say, Charles P…
> Personally I find the Khan Academy, 3B1brown stuff to be a waste of time. It's too elementary and cutesy. That is not anything like what I've experienced real mathematics to be like. It is a continuous painful struggle. Sorry, but what? You'd be hard pressed to find any single person, in the past 10 years, that has ushered more people into STEM by providing a solid fundamental education, than Salman Khan. I underst…
I'd like more math professors to make recordings of their courses. E.g. here is a pure gem [1]. This is a recording of a real analysis course from Rudin's principles of mathematical analysis (aka Baby Rudin aka the architect of many beginning mathematics students' misery). Anyone that's worked through this book knows the world of pain you're about to enter. I'd love if there was a similar recording for say, Charles P…
> Personally I find the Khan Academy, 3B1brown stuff to be a waste of time. It's too elementary and cutesy. That is not anything like what I've experienced real mathematics to be like. It is a continuous painful struggle. Sorry, but what? You'd be hard pressed to find any single person, in the past 10 years, that has ushered more people into STEM by providing a solid fundamental education, than Salman Khan. I underst…
I would advice against resources like KA and 3B1brown. I'm a firm believer that you don't truly understand material unless you also understand a proof for it. Ane while those resources are AMAZING for simple intuition building, they aren't sufficient. Go pick up a book about proofs to develop mathematical maturity and then delve into some undergrad books for analysis (Abbott) or linear algera (Axler)
Axler is too abstract for most people who want applications (I have worked through it). Unfortunately, I don't know of a good linear algebra text that is focused on actual calculations and isn't boring. Linear algebra has so many interesting applications, but I found learning it tedious.
If you like learning math by programming https://greenteapress.com/wp/think-complexity-2e/ also free.
You may try https://mitpress.mit.edu/books/street-fighting-mathematics . It is free. If you like learning math by programming https://greenteapress.com/wp/think-complexity-2e/ also free.
Mit Open Courseware also free.
I’m working through the entirety of brilliant.org right now; some of its courses are specifically maths, and the skill level goes from introductory courses all the way up to maths-degree level topics.
How is it? I've seen it peddled by a lot of youtubers that I like.
It’s not perfect, but it is pretty good — the single largest change I would make is “more practice examples for any particular topic”.
I'd like more math professors to make recordings of their courses. E.g. here is a pure gem [1]. This is a recording of a real analysis course from Rudin's principles of mathematical analysis (aka Baby Rudin aka the architect of many beginning mathematics students' misery). Anyone that's worked through this book knows the world of pain you're about to enter. I'd love if there was a similar recording for say, Charles P…
> Personally I find the Khan Academy, 3B1brown stuff to be a waste of time. It's too elementary and cutesy. That is not anything like what I've experienced real mathematics to be like. It is a continuous painful struggle. Sorry, but what? You'd be hard pressed to find any single person, in the past 10 years, that has ushered more people into STEM by providing a solid fundamental education, than Salman Khan. I underst…
Earlier quoted context omitted.
With many books, I'm not sure how to verify that I'm actually doing the exercises properly. In the (simple!) maths I took, my misunderstandings often led me to do exercises incorrectly, but to think I'd done them right, or to have half a proof and no idea what insight I was missing. Even when solutions were provided (which was rare!), the path connecting the dots could be foggy. "What made them think to introduce thi…
> I'm not sure how to verify that I'm actually doing the exercises properly. Since the parent mentioned my text, Linear Algebra , I'll note that it is Free, and comes with worked answers to all exercises, including proofs. And since other posters mention videos, I'll also note that there are videos (and the slides are available), along with a lab manual using Sage . https://hefferon.net/linearalgebra/index.html