Take two…

Well- not much happened this fall…  OK, a lot happened, but we were all too busy to tell anyone about any of it!
The biggest lesson I learned was not to try teaching two classes while taking a full load of graduate credits. And buying a house.  And moving…  Yes, I took on a bit too [...]

A New View of Analysis:

“Think about what things do rather than about how they are defined.”
That’s a nice piece of advice from Dr. Erdman in response to my question about ideals in class today. Having already taken abstract algebra, the image of an ideal in my head is as an algebraic structure with certain properties:

Real Analysis: A New Beginning!

Hello everyone!
The text has been updated! So has the syllabus for those of us who want to get a jump on the homework.

Why Order is Important…

Not a lot of time this morning, but if you are interested in seeing how order is used in set theory, John Armstrong is doing a nice series of the creation of numbers at The Unapologetic Mathematician. Today he talks about Archimedean fields and how the real numbers are in the ’sweet spot’ [...]

Free Real Analysis Book

The 3 of us are taking Real Analysis this year, and our professor has his own book online, “A Companion to Real Analysis.” It’s dense, contains no proofs, and is generally intense. But, those are good things. I wouldn’t use it by itself, but it provides you a great linear progression, moving [...]

New Analysis and PDE Journal

Terence Tao has joined the editorial board of a new Analysis and PDE journal. If you have any papers that you’re looking to submit, consider this one. Journals in all academic fields are notoriously expensive (read unaccesable), and that serves to be a clog in the arteries of progress. There is a [...]

The Lyceum Mathematikoi Test Post

This is a test post.  This post is only a test.  Do not pass go, do not collect two-hundred dollars mod n.