Knuth on typesetting

Social media is ephemeral; mathematics has a surprising permanence. Where does that leave mathematics blogs?

Looking at the viewing statistics, it is clear that some of my posts really are ephemeral: a post on my summer holiday has had just seventeen views, despite what I think are nice pictures of a navigating spider, dragon about to fly, and impressive ram. At the other end, the most popular post (by a short head) just happened to catch a wave of publicity at a particular time, but the second most popular, which is usually in the “top ten”, concerns using non-standard LaTeX fonts in Beamer slides, something which very much concerns practising mathematicians.

In the comments to the post, I promised to find Donald Knuth’s comments from The TeXbook about traditional typesetting. Here they are. I enjoy this passage, and I hope you will too.

The principal difference between TeX’s method and the old way is that metal types are generally cast so that each character has the same height and depth; this makes it easy to line them up by hand. TeX’s types have variable height and depth, because the computer has no trouble lining characters up by their baselines, and because the extra information about height and depth helps in the positioning of accents and mathematical symbols.

Another important difference between TeX setting and hand setting is, of course, that TeX will choose line divisions automatically; you don’t have to insert \hbox and \vbox instructions unless you want to retain complete control over where each letter goes. On the other hand, if you do use \hbox and \vbox, you can make TeX do almost everything that Ben Franklin could do in his printer’s shop. You’re only giving up the ability to make the letters come out charmingly crooked or badly inked; for such effects you need to make a new font. (And of course you lose the tactile and olfactory sensations, and the thrill of doing everything by yourself. TeX will never completely replace the good old ways.)

Advertisements

About Peter Cameron

I count all the things that need to be counted.
This entry was posted in typography and tagged , . Bookmark the permalink.

7 Responses to Knuth on typesetting

  1. Jon Awbrey says:

    Re: “So I write all the mathematics on this blog in HTML.”

    Are you still doing that? Or have you found a better way?

  2. Pingback: | white pebble

  3. Yemon Choi says:

    In recent discussion with a colleague about how he planned to write his Lie algebras on the blackboard, I remarked that I’d be tempted to write

    “Let ${\mathfrak g}$ be a Lie algebra … “

    • I’m old enough to remember when mathematicians started using email and TeX (both about the same time). It was striking how quickly TeX became the default for communicating mathematics in a linear text.

      A few years ago our department produced a teaching document suggesting that we should not use Fraktur while lecturing to students: they have enough trouble mastering Greek, and there is also the problem that German speakers who learned handwritten Fraktur produce something which is completely indecipherable to those of us who learned it from books.

    • Matthew Daws says:

      In a lecture (1st year Calculus) yesterday I almost wrote \cos. I had been LaTeX model answers shortly beforehand…

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s