What is the best way to start learning mathematics?

Question

Mathematics

I want to repeat and deepen in mathematics, so that later it would be easier to study physics and programming. Interested in robotics.

Answer 1

See what you need to start with.
If from school then khanacademy/interneturok. If the first courses of the university, then mathprofi. There you either achieve enlightenment and see what you really need or give up.
Another working option, but a long one, to go to a top university for a similar specialty, always full-time.
Poor options:
You can look at the SAD program as a somewhat redundant option.
You can turn on the nerd mode, take a series of books Mathematics at a technical university (14 books) + collections of problems and sit down for two years.
Why don't they work well? You need to imagine what you need and what you don’t need and dig from this, even robotics describes very vaguely what you will be doing. Aerodynamics (diff ura), Kalman filters / comp vision (statistics / linal), movement in space (quaternions / Euler angles)? Or plant a sprinkler on an arduino?

Answer 2

To study elementary (school) mathematics, try to start with the book by D.K. Faddeeva and I.S. Sominsky "Algebra for Self-Education" , it has 530 pages, it is very detailed and completely covers the entire traditional course of the Soviet normal school in mathematics. Here is a link to it (it will last a month).
When you begin to move on to higher mathematics, you need to master, solving all the tasks, for example, the books of I.A. Kaplan "Practical studies in higher mathematics" , in 5 parts ( they are here, in general I recommend this site) - also very detailed and with a detailed analysis, designed for the minimum school level. Then it is worth moving on to books by Zel'dovich like "Higher Mathematics for Beginners", etc. I-welcome to any engineering faculty.
You have to read a lot and visit forums, such as dxdy.ru and others.

Answer 3

Here is a good math example for a physicist www.superstringtheory.com/math/index.html
- As far as programming and robotics are concerned. It is better to delve into the study of discrete mathematics (Boolean algebra). There are a lot of books, examples of tasks, etc. on the Internet)
- To the topic above on Boolean algebra, digital circuitry helps to understand all this very well (automatic machines, triggers. Not just to solve some problems, but to draw directly different circuits, you can even in the simulation of dashboards in software, with all sorts of light bulbs, motors ...
- solve patterns of algorithms, mathematical problems in programming, look at many solutions (for example, sorting) for the same task - draw conclusions.
You can’t just take it and say “how absolutely better” it is impossible, what suits one person will not suit another. Everything just comes with experience and hard work
.

Answer 4

There is a course for beginners on coursera . In Russian.

Answer 5

I am using Mordkovich's books to improve my schoolwork - I solve a textbook, and then a problem book. The main thing is to study systematically: 10-20 examples on weekdays, 20-50 on weekends, and then you look and you can reach Ph.D :D

Answer 6

If you want to start all over again, try "Measurement" by Paul Lockhart

Answer 7

Your priorities are cool, I would go from the school program somewhere from the 8th grade)