Title of the course: Construction of the real numbers
Instructor: Dr. Denis Chéniot
Institution: Université de Marseille
Dates: 10-16 September 2018
Prerequisites: First year of university
Level: Advanced undergraduate   
Abstract: Construction of the real numbers by cuts. Theorem of the least upper bound, convergence of bounded monotone sequences, convergence of Cauchy sequences. Construction of the real numbers by Cauchy sequences, equivalence of the two constructions. Characterization of the order type of the set of real numbers as having a countable dense subset, no maximum or minimum and no gaps.
Language: EN, TR