I made another math post. This one is a bit longer, but more elementary, it's the unbashful intro to infinity I wish I'd had in school.

If you read it all the way through, there's a surprise. Shhhh.

If you read it all the way through, there's a surprise. Shhhh.

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- pleae keep posting these brilliant "lectures"!May 25, 2013
- +Steven Wittens (I didn't get notified of your comment, sorry.)

Sometimes, it's true. But this time not. In this case there's a whole branch of mathematics called*finitary mathematics*which denies the existence of the infinite. Some regard at as a much more accurate model of real arithmetic since in**practical**computations there is a limit to ones accuracy and thus one only ever deals with a finite set of numbers.May 27, 2013 - Really fantastic work. I don't know if you've read J.E.Gordon's books on materials science but they are probably the most approachable books to materials science I have ever read. Gordon tends to brush off a lot of the complicated engineering analysis and formulas in favour of teaching history, telling interesting stories and using familiar objects and situations to get the ideas and concepts across. The formulas are still there but they are not required to grasp the material.

The reason I mention him is because I've always been looking for similarly-written books covering other subjects such as chemistry and mathematics; your two posts (this one and the one on Julia sets and complex numbers) are about as close to Gordon's approach as I've ever found. Even if one doesn't truly understand the math, one still grasps the concept. Learning to visualise things in enlightening new ways is really very exciting. :)

I would suggest writing a book but it would be bereft of those wonderful visual tutorials. In any event, I look forward to whatever topic you chose to cover next.Jun 14, 2013 - Just went through To Infinity and Beyond, and How to Fold a Julia Fractal yesterday. These are amazingly good!

I wish calculus was taught to me this way in high school and college, because I would have understood it much more easily and quickly. You made what I call "the imperfect math" actually make sense with good analogies, and superb slideshows - the animation is exactly what calculus needs to be properly described, as it's based so much around rates of change.

Anyway, thank you for the enlightenment!Sep 19, 2013 - I really enjoyed this, but found it strange that you've used "therefor" to mean ∴ in everywhere but your opening quote. Therefor is an archaic word that means "for it", e.g. "I've supplied the binary and the source code therefor".Sep 30, 2015
- Hmmmmm, for some reason some of the images/graphics aren't appearing right for the infinity post, while the fractals one worked fine...10w