How to raise the materiel for development (mathematical basis)?

Question

Programming

Good afternoon.
I needed some knowledge in the field of computer vision, I stumbled upon Anton Konushin's course "Introduction to Computer Vision", but I was faced with the fact that what he explains is an order of magnitude further than what I know now and that I need to return to probability theory and field theory to understand many things.
Where can I find a normal course on mathematical analysis, which would allow me to master courses taken out of context like this: www.lektorium.tv/course/22847 ?
PS Just in case: I am primarily interested in the experience of students and graduates of NOT the first echelon, tk. I am interested in the experience of people who raised discipline alone, without the help of a university and a lyceum background.

Answer 1

Unfortunately, there is no way to view the course, but I can assume that most likely mathematical statistics from probability theory is actively used, a good practical book on this section will be the work of Ivchenko and Medvedev Introduction to mathematical statistics and problem books by the same authors Problems with solutions in mathematical statistics and Theory probabilities and mathematical statistics in ... .
For the basic course of the theory of probability, I can advise a thin book from its founding father (more precisely, its modern form) Kolmogorov Basic Concepts of Probability Theory and a book by another luminary of the Soviet school Terver Gnedenko Course of Probability Theory .
On the algebraic part, I can only advise, again, Kolmogorov's book Elements of the Theory of Functions and Functional Analysis. In it you can find, firstly, a description of the main algebraic structures, secondly, examples of the construction of metric spaces and metrics proper, and thirdly, get acquainted with topological spaces and an introduction to the construction of topologies. All this should fit in the book up to about chapters 5-6, then things related to the construction of a generalized integral over a measure and the actual theoretical justification of modern probability theory will go on. And so in computer vision, most likely, all kinds of metrics are actively exploited to prove the convergence of algorithms and topology, where the metric cannot be entered, for the same purposes. So just the first chapters of this book will be useful to you.
Well, in general, in the process of studying mathematics, I think the main emphasis should be on algebra. Everything comes from there. And for programming it will be useful.
In addition, I can recommend an excellent book by Knut Donald, not his three-volume book, but Concrete Mathematics . Moreover, our outstanding mathematician Arnold spoke very flatteringly about her. You will find many interesting things in it.

Answer 2

I read university textbooks. What specifically to look for is already too lazy, but the principle of selection was - if it's boring, then in the furnace. Usually a couple of pages from the textbook were enough to assess the quality.

Answer 3

By terver - everyone's favorite Wentzel:
rutracker.org/forum/viewtopic.php?t=1591961
www.twirpx.com/file/4664
By math analysis - Fichtenholtz