Posts Tagged “math”

Cantor's Set and Cantor's Function
February 9, 2016
I'm giving tutorials for McGill's honours analysis 2 course this semester, and I wrote some notes on Cantor's Set and Cantor's Function; I thought they might be helpful to others, so I'll post them hereMcGill has its own MyCourses system where I put the notes for students in the class, but I think it's better to be in the habit of posting work in a publiclyaccessible place. . I've given upfor now on actually converting my LaTeX to something webnative, so I'll just put the pdf here. 
Completeness I
January 1, 2016
Last semester, I helped a friend review McGill's Analyis 3 course by trying to provide a better feel for completeness; this post will be a slightly edited version of that. Originally, I wanted to write about both completeness and compactness, and their connections, but I ended up only getting to completeness, and actually not everything I wanted to talk about. So I'll call this *Completeness I*, leaving open the possibility for more of these in the future. Hopefully the style is casual and expository without being misleading.