I'm from Portugal, where the Math's teach is made in a different way from what happen in US or UK.Here we don´t have courses of Calculus, Algebra, Trigonometry, Geometry, etc. All this issues are all mixed in one single "course", Math.
Our pre-university teach has a 3 years duration, With respect to Math, along this 3 years we learn, from plane/space geometry to camplex numbers.
Calculus include functions, limits, I and II derivative. In functions we learn polynomial, rational, trigonometric, exponencial and logaritimic functions. Also we learn to differentiable any of this functions. The continuos and the limits issues make part of the progam.
I'd like to know what corresponding calculus's level is in US or UK point of view.In this way it would be more easily to chose the right calculus's book in english.
it sounds as if "your" calculus, comprises about 2/3rds of what Calculus AB normally covers (noticeably absent is any mention of integrals, and power series).
two popular texts in wide-spread use are:
Amazon.com: Calculus - Early Transcendentals (9780471381563): Howard Anton, Irl Bivens, Stephen Davis: Books
Amazon.com: Calculus (9780538497817): James Stewart: Books <--i think this has been translated into portuguese
although my personal favorite is:
Amazon.com: Calculus, 4th edition (9780914098911): Michael Spivak: Books <--may also have been translated, not sure (i know a spanish version exists)
Também sou de Portugal. I didn't really understand what you want. Do you want a book for calculus at first year of university of an engineering school? Calculus by Apostol is good. It's both rigorous enough and easy.
If you want please send me a private message and we will discuss it in Portuguese.