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- "A Course of Higher Mathematics", VI Smirnov. - "Problems in Mathematical Analysis", Demidovich. - "Differential and Integral Calculus", Piskunov. That's w
by Jugurtha 5y ago
- "A Course of Higher Mathematics", VI Smirnov.
- "Problems in Mathematical Analysis", Demidovich.
- "Differential and Integral Calculus", Piskunov.
That's what our courses in university followed (first and second year), but also high-school teachers were inspired by as they studied these in university themselves. Smirnov takes you from the "concept of number" into the deep. Piskunov is cool and full of examples, including operational calculus and probability theory. Demidovich is a problems book to exercise your hand.
They are concise and to the point. Smirnov's has five volumes across seven books, though, but they're concise (density of information is high).
These books have examples from physics as well. For instance, I didn't understand enthalpy from my physics course until I read about continuity in Smirnov's book as he masterfully gave an example of discontinuity using enthalpy (phases of water).