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Brubeck is a database of topological information, à la the classic Counterexamples in Topology. It contains descriptions of several important topological spaces and properties and the interrelationships between each of them.
This is quite interesting. Brubeck, by James Dabbs, is a bit like Number Gossip but for topological spaces: it presents you with a search box into which you can type a list of properties you want a topology to have or not have, and it returns a list of matches. It also automatically geenerates proofs (really simple implication trees) based on theorems it’s been told and the facts it is given about spaces, and displays its working-out graphically.
The Science Museum in London have created a Facebook timeline of Alan Turing’s life and events afterwards. It’s an excellent use of the new Timeline feature – you can scroll up and down the timeline from Turing’s birth to the current day, which contains plenty on his codebreaking and work with early computers as well as more mundane things like his schooling and the invention of the very first chess-playing computer program. Appropriately, his tragic death is a small footnote to a fascinating life, just a couple of lines. Scrolling back up towards the present, you can see how Turing’s reputation was restored and commemorated, leading up to 2012, the Alan Turing Year.
Today, a new Math rendering mode has been added to Wikipedia. You need a Wikipedia account to use it. In My preferences => Appearance => Math, choose “MathJax”. Once enabled, MathJax’s HTML-CSS output will be used by default. If you want to use MathML instead, right click on a formula and choose “Math Settings => Math Renderer => MathML”.
See for yourself with this inverse graphing calculator.
I was going to save this for an Aperiodical Round Up but it’s such a good thing I thought I’d post it straight away. Project Gutenberg has moved on from offering just plain-text transcriptions of books: volunteers have been outstandingly generous with their time and produced LaTeX versions of many maths books, producing versions that are considerably more readable and resemble the original editions much more closely.
Not all the books in that list have been converted to LaTeX yet. Of those that have, GH Hardy’s A Course of Pure Mathematics leaps out as a good place to start. Compare it with this book still in HTML format to see the difference.
On Monday I gave a talk at Birmingham at a workshop titled, Using social media to engage students in mathematical sciences. I have no experience of doing that, but I was invited to talk a bit about putting maths notation online. It’s basically just a collection of links to the posts I’ve written on the subject previously, but maybe big text in small slides will be more accessible.