Prof. Mikhail Katz

Time: monday 15:00-18:00. Classroom Location in '22: Building 505, room 63.

syllabus for academic year '23-'24

Course notes: Infinitesimal analysis course notes in English

Homework for '22:
First homework set for '22 due 21 march '22
Second homework set for '22 due 4 april '22
Third homework set for '22 due 25 april '22
Fourth homework set for '22 due 9 may '22
Fifth homework set for '22 due 6 june '22

חוברת הקורס בּחשׁבּון אנפיניטסימלי
Lecture notes on infinitesimal calculus in Hebrew by Luie Jennings: part 1 (13 lectures, 81 pages), part 2 (13 lectures, 84 pages)

1. The utrapower construction of the hyperreals
2. Enlarging sets and functions; transfer principle
3. Relational structures, *-transform, transfer
4. Transfer, Los, and arithmetic of hyperreals
5. Sequences, series, continuity
6. Uniform continuity and convergence, derivatives
7. Internal sets, external sets, and transfer
8. Defining internal sets, saturation
9. Saturation of internal sets, topology
10. Universes, strong transitivity
11. Superstructures
12. Advanced topics

Textbook: Goldblatt, Robert. Lectures on the hyperreals. An introduction to nonstandard analysis. Graduate Texts in Mathematics, 188. Springer-Verlag, New York, 1998.

Old exams: exam moed A '22 - exam moed B '22 -

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