David Pierce | Matematik | M.S.G.S.Ü.



Ultraproducts and non-standard analysis have been a topic of several of my courses in Şirince.

Here is a long text that I created when preparing for my 2014 course. The current version (still rough) is dated January 10, 2018 (305 pages, size A5, 12 point type):

But I did not distribute this text or otherwise use it for the course. For the notes of what I did do in that course, see its webpage.

See also the page of my 2012 course for the notes that I did use for that course.

Earlier in 2012 I wrote out a proof that the quotient of the ring C(ℝ) of continuous functions from ℝ to itself by a maximal ideal is an elementary extension of ℝ as an ordered field. Current version dated January 10, 2018 (20 pages, size A5, 12 point type).

Notes on nonstandard analysis as such are on the page of my 2010 course.

Son değişiklik: Wednesday, 10 January 2018, 14:14:52 EET