Calculus Books, preferably Soviet.

I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text is quite challenging, I have no problem. But it should be interesting with proper exposition of topics.

The book should be good for self-study, preferably a textbook(again, for beginners). And it's not necessary for it to be Soviet. Just anything good. I merely like Soviet/Slavic books and so, the title.

Thanks to you all.

Edit again:Please try to abstain from suggesting analysis books. All I want is a nice, rigorous Book on Integral and Differential Calculus. Doesn't matter which origin(at this point), but should be translated into English. Thanks.

Solution 1:

A (possibly the) standard classic is: Г. Фихтенгольц. Курс дифференциального и интегрального исчисления. (G. Fichtenholtz. The course of differential and integral calculus.)

I personally like very much the following two courses:

Л. Кудрявцев. Курс математического анализа (L. Kudryavtsev. Mathematical Analysis Course) (there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);

V. Zorich: Mathematical Analysis (the best existing MA course in opinion of V. Arnold).

Solution 2:

I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov