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Studying higher mathematics from scratch on your own, can you recommend textbooks, video tutorials or other resources?
I want to study higher mathematics on my own, advise any textbooks, video tutorials or other resources that explain from scratch and very clearly.
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To start, as an introduction and warm-up, I would recommend the book "The Pleasure of X" by the famous mathematician Stephen Strogatz. It is simple and most importantly, it is interesting to tell different topics of mathematics.
It won’t work from scratch - you need to know ordinary mathematics perfectly at least - for 10..11 classes, and then the highest.
Higher mathematics is something collective. As I understand it, the highest is everything beyond the school course. First you need to decide what you need it for. If we talk about some basic elimination of illiteracy, then the following are mandatory: linear algebra and mathematical analysis. And the latter can be thinned out a bit.
And then you can already specialize:
Probability theory, game theory, statistics - more for modeling all sorts of "life tasks" and bigdata Function
theory, differential equations - more for radio electronics, for engineering
General algebra, group theory, logic, differential geometry - this is already a gap heads for pure mathematicians
Vygodsky has two excellent reference books (although I would not call them that, because this is more of a narrative, or something) on elementary and higher.
Read very easily.
Ya.B.Zeldovich - Higher mathematics for beginners and its application to physics . Fire book. Everything is utterly crushed.
At the university, higher mathematics was easier for me than usual. Therefore, you do not need to think that vyshmat is something terrible. Here you can search what you need.
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