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What materials would you recommend for studying mathematics?
Good afternoon! I'm learning C++ + Cocos2d-x. I want to go deeper into the study of graphics programming. But after viewing some materials and talking with people who work in this area, I realized that they closely use mathematics (analytical geometry, discrete mathematical work with matrices, etc.). In general, a fairly wide range. He studied mathematics at school according to the plan "LEARNED, passed and forgot." There is a huge need for normal materials. Initially, I thought to take a stack of books to go through each one (for example, 7, 8, 9, 10, 11 classes). But remembering the words of the teacher, "It is necessary to choose a worthwhile book, because many of them either have a lot of water, or something very important is missing." Please suggest worthwhile materials (books, resources, etc.) and, if possible, share your views on the training plan.
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Try to start, for example, with her: V.S. Kramor - We repeat and systematize the school course of algebra and the beginning of analysis.
"Course of differential and integral calculus" (Fihtengolts) 3 volumes
"Course of mathematical analysis" (Kudryavtsev) 3 volumes
"Discrete mathematics for programmers" (Novikov)
"Algorithms. Construction and analysis" (Thomas Kormen, Charles Leyzerson, Ronald Rivest, Clifford Stein )
"The Art of Programming" (Donald E. Knuth) all 4 volumes are needed if you really want to learn everything.
I would also advise studying probability theory and information theory)
Good luck!
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.
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