Non standard analysis (2010/2011)

Course code
4S000763
Name of lecturer
Ruggero Ferro
Coordinator
Ruggero Ferro
Number of ECTS credits allocated
6
Academic sector
MAT/01 - MATHEMATICAL LOGIC
Language of instruction
Italian
Period
II semestre, I semestre

Lesson timetable

Learning outcomes

NON STANDARD ANALYSIS

Infinitesimals: how to view them and to insert them in a number system,
Superstructures and non standard superstructures,
Standard, internal and external sets,
How to deal with the main notions of classical mathematical analysis in a non standard environment,
Beyond classical mathematical analysis: Loeb measure and some of its applications.

Assessment methods and criteria

Participating seminar. Students will be guided in the personal study of the relevant literature and will be asked to present what they learned in seminars. They will be evaluated according to their presentations and through a final short oral exam.