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How to improve your level in higher mathematics without suffering?
I would like to improve my level in higher mathematics. The main reasons are an increase in the level of general intelligence and the development of technical thinking.
One of the options I see is helping others in solving problems on thematic forums. But the disadvantage of this approach is scattered knowledge, there is no consistent and versatile study.
Perhaps you need to increase the need in your life for this kind of knowledge?
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- Without suffering in any way
- With interest: Look for algorithmic problems (problems) and try to solve them with interest, prematurely studying the theoretical component of these topics, but often for one topic, you need several more that are hiding somewhere behind. So there will be suffering in any case, unless, of course, you graduated from a mathematical university and mathematics was not your favorite subject, which you almost lived for.
Well, the development of technical thinking always improves with experience. It doesn't come at the snap of a finger. So be patient, learn and practice. Everyone has and will have problems.
If you want to improve your level in higher mathematics, take a textbook for technical universities and read from cover to cover, while simultaneously solving problems in the corresponding problem book. The only question is, what will you do with this good, where will you use it?
If you want to improve intelligence as the ability and speed of thinking, you can try:
- solve inventive problems. Somewhere on the Internet there is a site where, like kaggle, the problems that need to be solved are laid out
- learn new languages
To develop technical thinking, you need to solve technical problems, for example, in production. Well, or you can stir up your startup, which will invent something useful.
But first of all, you need to ask yourself the question "why do I need this, where will I use it?" so that the work is not in vain.
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