I was a ‘math prodigy’ in school. To me mathematics was always about solving problems, learning any theory/apparatus makes much more sense when you understand what problems it helps you solve. As a programmer you probably have a problem-solution mindset too. If you just have fun solving problems and slowly build your mathematical foundation from there, you’ll probably discover that you don’t suck at all, just the way you were taught mathematics at school was too dogmatic.
Ask HN: I suck at math, where to start?
71–80 of 154 posts
Re: Ask HN: I suck at math, where to start?
#72The odd look I got from from calc professors while taking exams was kinda funny.
Re: Ask HN: I suck at math, where to start?
#73https://www.youtube.com/c/3blue1brown
Re: Ask HN: I suck at math, where to start?
#74Chances are you actually suck at algebra. I went through this issue when I started electrical engineering as part of an overly elaborate midlife crisis. I got the book in the bookstore that was supposed to bring you up to high school level and just did all of the exercises. Then I did a whole lot of exercises for the introductory university math courses. Basically it is something you have to grind at. Once you do eno…
Re: Ask HN: I suck at math, where to start?
#75Chances are you actually suck at algebra. I went through this issue when I started electrical engineering as part of an overly elaborate midlife crisis. I got the book in the bookstore that was supposed to bring you up to high school level and just did all of the exercises. Then I did a whole lot of exercises for the introductory university math courses. Basically it is something you have to grind at. Once you do eno…
I second the grind. There's not really a shortcut... like lifting weights or practicing scales/rudiments. I returned to grad school at 27 for math and had trouble passing qualifying exams. I ended up using spaced-repetition to memorize large sections of books and old questions. I had previously shunned memorization... but coupled with focused practice it is a powerful tool. Memorizing forces you to distill the materi…
And just like lifting weights, you will lose it when you stop doing it.
I remember doing the CFA program which is math and formula heavy. I had hundreds of formulas memorized. I couldn’t tell you the formula to calculate the standard deviation of a portfolio of three assets now if my life depended on it.
Re: Ask HN: I suck at math, where to start?
#76My own personal experience has been that learning existing math is not very hard and quite fun (YMMV of course and it also depends on how much pre-requisite knowledge is required to even approach the topic)
Once you've acquired the tools, applying them to solve actual engineering problems, also relatively easy (depending on the problem of course) and very fun.
However, solving math problems is a completely different game, and this is where (again for me), the discipline is the most frustrating.
Solving a math problem is like finding a path out of a dense forest, and some people seem to have a "natural compass" guiding them towards it.
For me (born w/o much of a compass), it's always felt like I have to recursively try all possible paths until I find the one that gets me there. Needless to say, if the forest is dense and thick enough, that's a completely hopeless endeavor.
For example, reading the proof to a theorem, assuming it uses tools, concepts and facts you're familiar enough with and does not take giant leaps (the infamous "from here it obviously follow that ...") is easy and can be fun.
But when I get to the QED, I'm always left wondering how the guy who first proved it effing found the path in the first place.
It's borderline disheartening.
Re: Ask HN: I suck at math, where to start?
#77Out of curiosity, what does it look like to not-suck at math? Do you wake up in the morning and are reminded of constants and theorems in everyday things and laugh empathetically with donuts as you recognize your shared absurd topological homology, or go to the office and automatically recognize what's possible and not from its implied complexity class in office conversations? Are you checking Bayesian priors in your…
What I vividly recall is my fascination with algebra and geometry as a child. While on hikes I would imagine the equations necessary to approximate the flora around me, to calculate the parts of the rays of light, and so forth.
And while I never applied myself strongly to homework, I did pay with math as I've would pay an instrument.
That is to say, this should sound like how musicians describe hearing the music of nature, and their fascination with sounds and musical theory.
Math is an instrument that one can play to make beautiful music.
Re: Ask HN: I suck at math, where to start?
#78Chances are you actually suck at algebra. I went through this issue when I started electrical engineering as part of an overly elaborate midlife crisis. I got the book in the bookstore that was supposed to bring you up to high school level and just did all of the exercises. Then I did a whole lot of exercises for the introductory university math courses. Basically it is something you have to grind at. Once you do eno…
Agree with this and would also add: in addition to being able to do algebra fast and have it be second-nature, at higher levels it helps if you are able to do it 100% accurately. 5 nines isn't enough. I didn't appreciate this until I was a graduate physics student and was frequently frustrated by minor algebra errors in long, complex problems.
Fast arithmetic and algebra are fairly particular skills. As one progresses into new world of math, the calculations and operations may be completely different from what's been practiced, making the fast math less useful. But a good habit for careful progress is completely general!
Re: Ask HN: I suck at math, where to start?
#79Chances are you actually suck at algebra. I went through this issue when I started electrical engineering as part of an overly elaborate midlife crisis. I got the book in the bookstore that was supposed to bring you up to high school level and just did all of the exercises. Then I did a whole lot of exercises for the introductory university math courses. Basically it is something you have to grind at. Once you do eno…
I‘ve enjoyed revisiting topics I learned in school through the Kahn Academy[1]. You can pick any topic you want to start with and follow it through as far as you want. [1] https://www.khanacademy.org
I went through precalc in school, then promptly forgot most of it once I started working. All of the bits I had learned felt rushed, so a lot of them fell out of my brain even while in school. I only had a basic understanding of most of what I "learned".
About a year ago I decided to go back to basics, and start over from zero on Khan Academy. I've been v.e.r.y slow, maybe a lesson a month on average, but have been grinding through the lowest level math to really understand and remember it. Down to addition, subtraction and multiplication even - I've relearned how to multiply small numbers in my head, and gotten much better at quick mental addition and subtraction.
I have scheduled and dedicated more time for it this year, so I hope to catch up to my original math basis. This time, hopefully, remembering all of it instead of skimming. That should set me up well for linear algebra, and then calculus next year and beyond.
One thing that may help regardless of how you choose to learn: pick a problem you want to tackle that needs Fancy Maths. It doesn't need to be anything useful, or anything difficult like "prove this unproven theorem". It will motivate you as long as it keeps your brain engaged. For me it's factoring and primality proving, where I can't even read the equations / algorithms because I don't have the basic tools. As I get further along I keep looking back to those problems and seeing how the bits I'm learning apply around the edges or to simpler factoring algorithms. It keeps me motivated to learn more to be able to dive deeper into the juicy parts.
Re: Ask HN: I suck at math, where to start?
#80One day I decided to go to a physical bookstore and buy a bunch of books from the Math and Computer Science sections and started from there. It was probably not the best way to start but A START nonetheless. Given that I really enjoyed reading about these topics, I decided to enrol into an online university to pursue a degree in Mathematics.
The book I found the most useful was "How to Prove It"[0]. From my point of view, it was a great starting point for two reasons: * It is approachable (specially for Software Engineers) without being boring. You start building intuitions and it really ignites your curiosity. * It is also sufficient for understanding proves and mathematical notation/language. This is an important building block that will allow you to start tackling the branches in Math you are interested in.
[0] https://www.goodreads.com/book/show/739735.How_to_Prove_It