Archive for February, 2009
Exam II is in a couple days. Zeros of polynomials, graphs of rational functions, compositions and inverses.(I have just named three topics, not four; here [shrink the window to the size of a column] are some remarks on “the serial comma” I made back in th’ XXth c.)Of course my classes are ill-prepared for this [...]
If somebody comes up to you out of the blue and says, okay, a Rational Function has the form , where f and g are polynomial functions, why then, there are any number of things about this definition that you might want to know next. Hey Vlorbik (you might say for example), how about giving [...]
OK. Look. Last week’s rant was exhausting and I don’t want to make a career out of railing against this doggone book. But come on. How the bejabbers am I supposed to talk about inverse functions without a notation for the furshlugginer Identity Function? I mean, seriously.Consider the set of Real-valued functions of a Real [...]
In the AM classes, I began with bigpicture stuff (for reasons obscure to me): function composition considered as an operation. Specifically, as on operation on functions.The point here is to stress the analogy with the more familiar situation where operations like addition, subtraction, multiplication, and division are applied to (pairs of) numbers to produce “new” [...]
The NYT has begun running a Sudoku variant (called KenKen). If they’ve got one in the Sunday edition, I’ll try it out. I’ve done a Sudoku… they’re sort of like Word Search puzzles… more of a chore than a game…Barry G. on Forbes on the uselessness of math, in KTM. Also, what the heck, SteveH [...]
The post is even more of a mess than usual. That “does not parse” parsed yesterday. I had to cut a piece out (you’ll find the hole) because it was acting downright weird for no apparent reason. Welcome to WordPress.The text is even more of a mess than usual. Evidently certain forces have led its [...]
Here’s “On2: transfinite number hacking”. Lieven le Bruyn’s NEVERENDINGBOOKS isn’t really a blog at all… and in some earlier version, I’d failed to “get it”. My bad. This is some amazing stuff: advanced mathematics in very readable style. “Mumford’s Treasure Map” is a mini-masterpiece.The fact that I never even thought to go look at last [...]
