Live data from Hacker News

Mathematics for the Adventurous Self-Learner

neilwithdata.com

201–210 of 216 posts

Re: Mathematics for the Adventurous Self-Learner

#201
post #93

Earlier quoted context omitted.

I’m using brilliant, but just the courses, not any of the community parts. What was the failure mode?

I think the final thing was on the daily challenges; I always tried to solve them before looking at the answers even If I don't know the "proper" math to do so. I had posted my (correct) solution that I got to by writing a program to work it out; and I got some replies saying I was an idiot for not doing in the proper (math) way.

Ah, that type. Thanks for the heads-up.

Re: Mathematics for the Adventurous Self-Learner

#202
post #6

I know this is going to be the case for likely nobody, but I have browsed most of the self-study math threads that pop up here as a forever-on-my-todo-list thing and I have a remark to make: I have yet to find a guide that does not start with the assumption that you graduated highschool. That is a very reasonable assumption to make. We are in a community of technology and engineering, it would be a bit ridiculous to…

Sure ∑ would pass code review. And in Maple and Mathematica it is code.

Re: Mathematics for the Adventurous Self-Learner

#203
post #167
post #6

I know this is going to be the case for likely nobody, but I have browsed most of the self-study math threads that pop up here as a forever-on-my-todo-list thing and I have a remark to make: I have yet to find a guide that does not start with the assumption that you graduated highschool. That is a very reasonable assumption to make. We are in a community of technology and engineering, it would be a bit ridiculous to…

> Also, curse the Greeks for not using more idiomatic variables. ∑ would never pass code review, what an entirely unreadable identifier One thing I tell my high-school students: mathematics always looks harder than it actually is. One of the essential skills in succeeding in math is looking at a page of arcane "stuff" and having your reaction be, "Whoa! Can't wait to learn what this means," rather than, "Whoa! This l…

I don't think it's because of handwriting. Math notation (for math) is just as useful when reading and writing it on computers or printed pages. I think it's just optimized for its subject matter, e.g. a small set of names and well known operations.

Re: Mathematics for the Adventurous Self-Learner

#205
post #125

Earlier quoted context omitted.

I hope I'm not too late here, but if you are in the US I would highly, highly recommend signing up for developmental classes at your local community college. You are exactly whom those classes are for. If you've tried on your own before and struggled to stay motivated, doing it in a structured way, in 15 week "sprints", may be just the kickstart to your self-study program you need. Disclaimer: I was a full-time commu…

Might want to ask current students about those classes first. My experience with community college math developmental classes was: "Go to this AV room, watch these videos, do these workbooks. If you have questions, I have office hours on these days.". Which was terrible. I did have someone I could come to with things I didn't understand, but it was obviously not something they liked doing and you had little choice ab…

I worked in the math lab of my community college while in high school tutoring returning education students. 16 year old me teaching algebra and calculus to 55+ folks. They were some of the most engaged people I have ever taught and they were so happy, like tears of joy happy to finally get material that plagued them for most of their lives.

Anyway, my recommendation is to check out "the vibe" of the mathlab or whoever are the folks doing the tutoring. If they engaged and love answering the same questions all day long, then definitely sign up. If the tutors are like watch this video and do this quiz, if you have a problem sign up on the sheet kinda attitude, then find another place.

Re: Mathematics for the Adventurous Self-Learner

#206
post #6

I know this is going to be the case for likely nobody, but I have browsed most of the self-study math threads that pop up here as a forever-on-my-todo-list thing and I have a remark to make: I have yet to find a guide that does not start with the assumption that you graduated highschool. That is a very reasonable assumption to make. We are in a community of technology and engineering, it would be a bit ridiculous to…

israel gelfand, a top russian mathematician, has books aimed at high school students that served as education materials for distance learning in russia. the series covers algebra, functions, trigonometry, graphs, geometry, and more.

https://www.amazon.com/Functions-Graphs-Dover-Books-Mathemat...

https://www.amazon.com/Sequences-Combinations-Limits-Dover-M...

https://www.amazon.com/Geometry-Israel-M-Gelfand/dp/10716029...

https://www.amazon.com/Algebra-Israel-M-Gelfand/dp/081763677...

https://www.amazon.com/Trigonometry-I-M-Gelfand/dp/081763914...

https://www.amazon.com/Method-Coordinates-Dover-Books-Mathem...

the books by sanjoy mahajan are also a treat and teach real-world applications of mathematical and scientific thinking.

https://www.amazon.com/Street-Fighting-Mathematics-Educated-...

https://www.amazon.com/Art-Insight-Science-Engineering-Compl...

Re: Mathematics for the Adventurous Self-Learner

#207
post #64
post #6

I know this is going to be the case for likely nobody, but I have browsed most of the self-study math threads that pop up here as a forever-on-my-todo-list thing and I have a remark to make: I have yet to find a guide that does not start with the assumption that you graduated highschool. That is a very reasonable assumption to make. We are in a community of technology and engineering, it would be a bit ridiculous to…

I would use Khan Academy. Start at a level that feels too easy, even if it's elementary school math. The key to learning anything is to start at a level that feels too easy and gradually increase difficulty. As you finish a subject, see if there's a corresponding book in the Art of Problem Solving store [0]; you can revisit the subject at a deeper level that will strengthen your foundation. The AoPS books will also e…

> The key to learning anything is to start at a level that feels too easy and gradually increase difficulty.

Is it though?

In this particular case, for this particular person, may be. But personally, I always found myself bored and ADHDly switching to something else in 5 minutes if I wouldn't drop myself right in the deep end. And from my interactions with different software engineers over the years, I doubt I'm the only one.

Re: Mathematics for the Adventurous Self-Learner

#208
post #167
post #6

I know this is going to be the case for likely nobody, but I have browsed most of the self-study math threads that pop up here as a forever-on-my-todo-list thing and I have a remark to make: I have yet to find a guide that does not start with the assumption that you graduated highschool. That is a very reasonable assumption to make. We are in a community of technology and engineering, it would be a bit ridiculous to…

> Also, curse the Greeks for not using more idiomatic variables. ∑ would never pass code review, what an entirely unreadable identifier One thing I tell my high-school students: mathematics always looks harder than it actually is. One of the essential skills in succeeding in math is looking at a page of arcane "stuff" and having your reaction be, "Whoa! Can't wait to learn what this means," rather than, "Whoa! This l…

Important to note though that Euler probably didn't think of students trying to follow their professor at 8 in the morning while he scribbles proofs on the blackboard using ∑, ∈, E, e and S.

Re: Mathematics for the Adventurous Self-Learner

#209
post #6

I know this is going to be the case for likely nobody, but I have browsed most of the self-study math threads that pop up here as a forever-on-my-todo-list thing and I have a remark to make: I have yet to find a guide that does not start with the assumption that you graduated highschool. That is a very reasonable assumption to make. We are in a community of technology and engineering, it would be a bit ridiculous to…

Math from scratch https://learnaifromscratch.github.io/math.html

There's also Prof Leonard YouTube channel, get the book(s) he uses, covers exactly what you want:

https://m.youtube.com/user/professorleonard57/playlists

Re: Mathematics for the Adventurous Self-Learner

#210

I'm pretty skeptical about these "best of" lists of books for self-directed mathematics education. I have my own "best of" list that is very different to this list, although there are a couple of crossovers. If you are fortunate enough to have access to a university library (or libraries) I would _highly_ recommend inquiring about access to their general collection. I was also fortunate enough to study mathematics to…

> I recently purchased volume 1 of my favorite calculus and analysis book. Which book would that be if I might ask? I'm wagering... Courant? ;)

Indeed :-)

Courant & John, to be exact.

Post reply on HN