This course is based on the book of A: N. Kolmogorov and S. V. Fomin, "Introductory real analysis", you can buy this book and it is very cheap; the book will be used for other courses, "Functional Analysis", "Topology", and "Distribution Theory", so it may be useful to buy it in the paper form; but in principle you can work with the electronic version.
The free pdf-file of the book can be found at
http://tomlr.free.fr/Math%E9matiques/Fichiers%20Claude/Auteurs/Kolmogorov/Introductory%20Real%20Analysis%20-%20Kolmogorov%20Fomin(1).pdf
This course will be based on chapters 7-10, chapter 1 (set theory) is supposed to be know, so please read it in advance.
- Kursansvarig: Andrei Khrennikov