This is an English translation of Camille Jordan's Cours d'Analyse, 2nd edition.
Jordan's Cours d'Analyse is the work from which most mathematicians from the end of the 19th to the beginning of the 20th century learned analysis.
I always wanted to read it but there is no English or Italian translations available. Since I didn't know French I decided to learn the language while doing something interesting.
The original volumes of the second edition are on the Internet Archive
There are reprints available but some, like the one from the Cambridge Library Collection, are of the first edition, which differs widely from the second.
- 1, Natural numbers and the need for extensions
- 2 - 7, Real numbers via Dedekind cuts
- 8 - 15, Limits
- 16 - 19, Infinitesimals
- 20 - 22, Topology in R^n