trying to be a mile wide AND a mile deep
After more than ten years in the world of academic mathematics, I have some experience with cranks and crackpots. For a while I was getting regular emails with beautiful graphics about squaring the circle, and I’ve seen talks where the validity or interest of the result hinged on, essentially, the incorrect use of a mathematical […]
At the center of almost any proof involving linear transformations is to apply linearity to move between the domain and codomain, preserving the structure of linear combinations. Statements proved in such a way: all linear transformations take 0 to 0 images of subspaces are subspaces (special example: image) preimages of subspaces are subspaces (special example: […]
In case it wasn’t clear from musings on series, these posts are collections of themed material that individually don’t make full posts. 1. There are many ways for a limit to fail to exist. It could be infinite, oscillate within a finite interval, completely devolve into radio static, or simply give you different values when […]
Here at the start of another string of posts I wanted to recommend a graphing program I’ve used pretty intensively recently: Graphmatica. It’s shareware with a license fee of $25, and in particular if you want to graph complicated piecewise-defined functions it’s the best thing around. The graph below was entered as a single function. […]
I had enough links from teaching statistics to make their own list. Actually several lists. Textbooks and other comprehensive approaches Online Statistics Education, an online openly licensed statistics text with labs; outgrowth of the Rice Virtual Lab in Statistics StatLib, a statistics community database The Little Handout of Statistical Practice, online textbook Sources for statistics […]
I had a page on my Notre Dame website called mathlinks. This isn’t the same collection but it falls into the same category. The math genealogy page is always interesting reading. A translation of Euclid’s Elements by Richard Fitzpatrick. The University of Michigan’s Historical Mathematics Collection. A page of famous codes and ciphers. Animated GIF […]