I am planning to self-study analysis (understood in the European sense, which I think includes calculus).
I have boiled down my book search to three intro books before I move on to further study. To be honest, I am tempted to read all of them:
Ross' Elementary Calculus
Abbott's Understanding Analysis.
But in which order? Spivak, despite its title, covers pretty much the same ground, albeit in in 500 as opposed to the 300 pages that the other two need. All of them have many exercises and solutions available, which is why I have selected them. What is important to me, that I learn to write good proofs that also give a glimpse of the reasoning behind. The calculus I learned was rather poor and I have forgotten most of it, so I really would like to learn to prove the basics such as limits, convergence, continuity and so on.
Which one to begin with? As time is limited, would reading one or two suffice? If so, which one?
All the best!