Natural Blogarithms

I am short on time with preparing to give and grade finals. (Aww, poor professor. . .) But, I’d thought I’d share with each of you my favorite limerick of all time:

TRANSLATION:
The integral z-squared dz
From one to the cube root of 3
Times the cosine
Of three pi over 9
Is the log of the cube [...]

Discretize Spaces
My last entry mentioned that the next post would focus on why I find approximation theory so interesting. I’ve been chewing on an idea / illustration for some time now that I want to run by my readers. Much of my research in has been spent in using finite dimensional function spaces [...]

Taylor’s Theorem
I am likely lose too many of my regulars with this one but I have to throw it in since it ranks, by far, at the top of my list of fave’s.
Thm: Let for some interval . For , we have that

where

Taylor’s theorem gives a polynomial approximation to a smooth [...]

List the tools you can’t live without:

The Internet, Google, in particular. There is a motto in our family: “No question goes unanswered.” Especially not with a wireless network at 4 computers under our roof.
Precision screwdriver kit: the best for digging into the inner workings of a broken down cpu.
Thumb drives: How [...]

The title of this blog seems to imply that this is the second in a series of blogging my mathematical blunders and in a way it is. The first blunder went untitled as such and I am almost afraid to bring attention to it again but was placed in the entry, “I should be [...]

The Pancake Theorem
Let me begin by saying that these theorems that will follow in this section of my blog will not be in any particular order, especially not in order of importance or preference. They are just popping up as I recall them or come across them.
Today’s Theorem, the pancake theorem, is one that [...]