The wonderful, talented, and fabulous Jennifer Ouellette (with whom, though I know she reads this blog, I would never, of course, try to curry favor by calling her wonderful, talented, and fabulous — but I will admit to having an animated crush on Jen-Luc Piquant) of Cocktail Party Physics has written a fun essay on the history of calculus. Yes, I said "fun". She writes poetically about the beauty and internal wonder of epsilon, the infinitesimal jump from one point to the next in a function that makes calculus possible. If you love math, you should read her essay, and if you hate math, you should really read it, because she might change your mind.
And at the end, she posts a little math trick, which I unceremoniously dissect in the comments.
September 30th, 2006 at 1:51 pm
haha! neat trick…
I wish she could do these for harder subjects like topology. : \
September 30th, 2006 at 1:56 pm
I have to say, calculus is a bit of a stumbling block for me. I learned the basics at school (how to differentiate or integrate quadratic equations), but when I found myself (having acquired a PhD) years later trying to understand the integration of the equation of a rectangular hyperbola, I did struggle.
September 30th, 2006 at 2:32 pm
I had a really great teacher of differential equations back in the late ’70s, Dr. Wolfgang Rindler, at the Univ. Of Texas in Richardson. He taught the course as a cookbook approach. MAde it much easier to deal with the subject. He noted in passing he was originally majoring in math, working on his PhD, when he discovered he really didn’t have a matematical mind, ie, the ability to “intuitively” grasp math. But being good at manipiulating the symbols, he just changed his major to physics and ran with it,,,
GAry 7
September 30th, 2006 at 5:32 pm
It is I who should be currying favor with Phil, the bestest bad astronomer in the whole wide world.
Seriously, I’m sure his site numbers just crush mine on a daily basis. And thanks for dissecting the math trick! It will come in very handy when my niece starts learning algebra…
September 30th, 2006 at 6:22 pm
What? Nothing from Jen-Luc? Don’t get me wrong, it’s fantastic to hear from Jennifer, but still…
September 30th, 2006 at 9:08 pm
I hate to nit-pick, but epsilon is not infinitesimal. That’s the true beauty of an epsilon-delta argument – both numbers are finite.
October 1st, 2006 at 12:53 am
I am trying to dig any mathematics trick now.
October 1st, 2006 at 2:25 pm
I enjoyed looking over the website, and found a lot of things I was interested in, but I wonder if she knows that the Newton Project that she has a link to on her Links page says that its first major task is “to produce a much-needed catalogue of all Newton’s surviving theological, alchemical and administrative papers”, a “complete edition” of his “extraordinary ‘non-scientific’ writings”
October 2nd, 2006 at 3:01 am
hahaha Hey nice trick….