3 ms·
I agree with other comments that "learn maths" is too broad. You can take a university degree in maths and still be just at the beginning of "learning maths." I
by RossBencina 9y ago
I agree with other comments that "learn maths" is too broad. You can take a university degree in maths and still be just at the beginning of "learning maths." I recommend refining your goal somehow: perhaps to learn math related to certain applications that you're interested in, or learn math in a certain area (e.g. high-school algebra, geometry, probability, discrete math, graph theory, calculus, pure math, abstract algebra, topology, etc).
If you have not mastered high-school algebra and other pre-calculus subjects, you should start there; most other maths subjects will assume that you know these things. Calculus takes up a lot of space in upper high-school and early university courses -- but if you're a developer there may be other subjects that are more immediately useful to you (e.g. discrete math, linear algebra).
I set out to "learn maths" (that's verbatim what it says on my personal Kanban board). In the end I took some university classes. For me they provided the structure and teachers to help me learn. Also, there is a difference between having an idea about what some math-thing is, and being able to pass an 3 hour closed-book exam in that topic.
I agree that Khan Academy is a good learning resource that will provide structure to your learning:
https://www.khanacademy.org/ https://www.khanacademy.org/
Purplemath is another good resource:
http://www.purplemath.com/ http://www.purplemath.com/
YouTube is full of videos of people running through problems on any conceivable topic. Definitely search there for help.
Once you've worked your way through the high school prerequisites, I'd recommend Linear Algebra as a good next course. It has many practical applications, and is also an entry point towards pure math subjects like Abstract Algebra. Also, you don't need to know any calculus to study linear algebra. I like Gilbert Strang's OCW course:
https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/ https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra...
Finally, mathematics is HUGE. The following will give you a bit of an idea:
The Map of Mathematics https://www.youtube.com/watch?v=OmJ-4B-mS-Y https://www.youtube.com/watch?v=OmJ-4B-mS-Y