... si rerum usu constat prudentia,
in utrum magis competet eius cognominis honos,
qui partim ob pudorem,
partim ob animi timiditatem nihil aggreditur,
an in stultum,
quem neque pudor,
neque periculum quod non perpendit,
ab ulla deterret?
Erasmus, Moriae Encomium, 1508
J'aime mieux etre incivil qu'ennuyé.
"Are you aware, sir, that you are being rude?"
Why is mathematics teaching so poor? "Let us ask why on earth the Philosopher is contented with obscure teaching. We reply that it is just as in the temples, where curtains are used for the purpose of preventing everyone, and especially the impure, from encountering things they are not worthy of meeting. So too Aristotle uses the obscurity of his philosophy as a veil, so that good people may for that reason stretch their minds even more, whereas empty minds that are lost through carelessness will be put to flight by the obscurity when they encounter sentences like these." (The commentator Ammonius (5th c.) On Aristotle's Categories, Prolegomena 7.7-7.14. Translated by S. Marc Cohen and Gareth Matthews)
Those whom the gods wish to destroy universities, they make deans.
And to illustrate the point:
... both as head of a computer science department
and then now my second job as a dean, having computer science
departments, I would always get into these discussions with people in
the math department saying, it makes sense that your people teach more
courses per semester than the computer scientists do because you're
still teaching the same courses that you taught 50 years ago, whereas in
the computer science you have to continually redevelop materials so that
you really are covering the most up to date things.
The Henon map
A tutorial on Bezier curves
Including some simple Java demonstrations.
Including a hypertext version of a Latin dictionary, PostScript files for Dynkin diagrams, and Coxeter paper.
The UBC Sun SITEThe main page
Robert Langlands' collected works
NOTE: This site is no longer being maintained.
The IAS site for Robert Langlands' collected works
This is now the only active source for Langlands' work.
The Euclid project (including all of Byrne's Euclid)
Other links in automorphic formsJames Arthur's collected works at the University of Toronto
Diana Shelstad's home page
Roy Fuller's 1964 notes from Langlands' course on class field theory
Functoriality in the theory of automorphic forms. Jim Milne's translation of an semi-autobiographical essay titled "Funktorialität ..." by Langlands, originally in German.
Mathematical notesSymmetry and the fine structure of regular polyhedra
Mathematical classicsG. P. Dandelin - Hyperboloids of revolution
Java and mathematical publicationMy talk at MSRI on this topic at the December 1999 conference on the future of mathematical communication
Internet economics in the 17th century:
... there is a strong and insistent voice
preaching that there are no manias
and that the tulip episode in the
Dutch Republic was a natural consequence of
the fundamental fact that rare
specimens of tulip are difficult to breed,
but once bred easy to propagate.
- `It ought, you know,' Tietjens said with soft dangerousness,
`to be "Kisses mingled with sad tears - Tristibus
et lacrimis oscula mixta dabis" ... '
... Using a few two-letter commands,
you can use the included Terminal program to perform
powerful instantaneous operations, such
as renaming, moving,
or deleting huge numbers of files at once.
Question. Could you use microwaves as a way of heating
yourself to stay warm in winter without heating your
Answer. Absolutely ... A lot of us had thought, Oh gosh, wouldn't
this be a great way to heat yourself in a cool house? [Robert V. Pound]
wrote the paper on it. It is known as the Pound proposal,
and we are still pushing it as one of the peaceful uses of microwave
... the two cardinal rules of fishing are:
(1) Never drink before you wade;
(2) When the fly of choice is a Woolly Bugger, use worms.