Andrew Messing

3 Questions 217 Answers 0 Followers

Questions related from Andrew Messing

Is there any use in constructing/defining integration over (some subset of) the rationals?

I was working on 2 papers on statistics when I recalled a study I’d read some time ago: “On ‘Rethinking Rigor in Calculus...,’ or Why We Don't Do Calculus on the Rational Numbers’”. The answer is...

24 June 2015 8,187 84 View

Why don't we teach limits in calculus?

Limits underlie everything in calculus and analysis. To see this, simply look at some old textbooks that use infinitesimals (I do not mean the infinitesimals from non-standard analysis that...

16 April 2015 2,232 16 View

Why should we teach improper integrals?

I've taught using maybe a dozen calculus textbooks (not through my own choice) and examined many more, and the only ones that do not include improper integrals are those that I've never heard of...

24 March 2015 7,275 38 View