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# Category Archives: Mathematics

## Curves… in… spaaaace! (1890)

One of the tragedies of STEM education is the seemingly eternal perception by the general public that mathematics is boring and repetitive. Most people, of course, end their math education with algebra at most, though some work their way through … Continue reading

Posted in Mathematics
4 Comments

## Infinite series: not quite as weird as some would say

Updated with a third footnote clarifying my use of the term “diverge,” thanks to suggestion by Evelyn Lamb, who has also written an excellent discussion of the problem with the video. At the end of this post I list all the … Continue reading

Posted in ... the Hell?, Mathematics
28 Comments

## Infinity is weird: what does it all mean?

The final installment in a series of posts on the size of the infinite, as described in mathematical set theory. The first post can be read here, the second here, and the third here. We have taken a long, strange journey into … Continue reading

Posted in Mathematics
5 Comments

## Infinity is weird: to infinity, and beyond!

The third and it-turns-out-not-final installment in a series of posts on the size of the infinite, as described in mathematical set theory. The first post can be read here, and the second here. I think Buzz Lightyear captures the spirit of this … Continue reading

Posted in Mathematics
1 Comment

## Infinity is weird: what’s bigger than big?

The second in what will (probably) be a three-part series of posts on the size of the infinite, as described in mathematical set theory. The first post can be read here. When I was young, there was a series of … Continue reading

Posted in Mathematics
12 Comments

## Infinity is weird: how big is infinity?

How big is infinity? Most people, though familiar with the general concept of infinity, would probably answer with a simple, question-dodging response of “infinite.” To be fair, the infinite is a really difficult concept to wrap one’s head around, and … Continue reading

Posted in Mathematics
23 Comments

## Getting more with less in imaging: compressive sensing

Update: I felt my original explanations were a little lacking in places, so I’ve added to the post… In recent years, the public has seen remarkable advances in digital imaging technology. In the past few months, for instance, Lytro has … Continue reading

Posted in Mathematics, Optics
27 Comments

## In which I engage in mathematical silliness…

There’s been a silly trigonometric pun going around on Google+ the past week involving Bill Cosby. Having seen it enough times, I’ve decided to fight back with my own: I would like to apologize in advance; you may now return … Continue reading

Posted in Mathematics, Silliness
6 Comments

## Review of “Mathematical Methods” at Science After Sunclipse!

Just a quick bit of news: Blake Stacey has reviewed my textbook, Mathematical Methods for Optical Physics and Engineering, over at his blog Science After Sunclipse! Although he rightly busts my chops over a number of typos in the text … Continue reading

Posted in Mathematics, Personal
2 Comments

## Infinity is weird… even in infinity mirrors!

Even very simple optics can reveal very interesting and surprising phenomena, if one looks carefully enough! I was recently looking into the optics of a so-called “infinity mirror”, which in its simplest incarnation is simply two parallel mirrors on opposite … Continue reading

Posted in Mathematics, Optics
29 Comments