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Recommend math books
Hello. I want to refresh / catch up on some knowledge, what I forgot or skipped. Please recommend good math books. During the time that I studied, teachers advised more formula reference books and taught me to solve “by stencil”. I like to understand the principles and understand the fundamental necessity of some things. Books are interesting, where there is enough theory on certain topics and detailed conclusions. Most of all I am interested in mathematical analysis and mathematical logic. Thank you.
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Mat. analysis.
Theory Zorich, Fikhtengolts. In practice, no one has done better than Demidovich.
Unfortunately, I don't know about mathematics.
For mathematical analysis, look at the courses of Fikhtengolts and Nikolsky. Tasks and a brief theory can be found in Demidovich, plus there are ways to solve it in Anti-Demidovich (but with a lot of typos).
Vygodsky's Handbook of Higher Mathematics contains both theory and examples.
lecture notes in 2 volumes by D. Pismenny. In my opinion, it is simply written. Everything is. + examples of problem solving + practice after each paragraph
According to mathematical analysis, I can advise Ter-Krikorov. Up to the mark with good examples.
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