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I need some people to point me out in the right direction (Asymptotic analysis)

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Hi,

What languages are you able to read math in?

Generally these subjects are introduced at the same time as Taylor approximations. I know that English-language books tend to be weak on this point in comparison with foreign ones. (My best guess as to the reason is that the subject is a bit too complicated to be done well in basic calculus books but considered too elementary for analysis books.)  There is a moderate amount of discussion of o-notation in Chapter 7 of "Calculus" by Apostol, for example (which has a Spanish translation).

The subject is usually covered excellently in French-language books for the first year of university in France or Switzerland, under the name "développements limités", at least in older ones.

The subject is a bit difficult to understand if you haven't done much work with the formal definition of the limit of a function or sequence.

Edit. For a CS-oriented presentation, also see Chapter 9 of "Concrete Mathematics" by Graham, Knuth and Patashnik, though I think it's best to have worked with the symbols, o, O, \~ in connection with Taylor series first.

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