I have been teaching in the School of Mathematics and Statistics at the University of New South Wales since 1989. In recent years I have attempted to provide printed notes for all of my higher year lecture courses, and have made them accessible on the web where possible. This page serves as the top level of an archive which I hope will ultimately make all of these notes available to users of the Internet.
As everyone knows, stealing documents by means of the Internet is perfectly simple. Please don't do it!!! These notes are copyright, which means that you are very welcome to view them online, and even to download them for your own personal use, but not to distribute them to other people without my permission. If you contact me by email I will be very glad to give this permission unless I see some good reason why I should not.
Please be aware that my lecture notes are intended to be used as a basis, not as a substitute, for lectures. There may be various spots at which the reader feels some extra explanation is needed: such additional material would have been given verbally in lectures. Nevertheless, enquiries and comments about the lecture notes are welcome, and may be emailed to me here.
For course enquiries, consult the School of Mathematics and Statistics website. Follow the link for current students or for future students.
|Read about The Bourbaki Ensemble, possibly the only orchestra in the world to be named after a polycephalic French mathematician!||
Also Orchestra 143, a classical chamber orchestra whose name involves a fundamental error in combinatorics.
All of my lecture notes are available in PostScript and may be read using Ghostview or Gview or GV. If you are a student at UNSW and are reading this through your account at the School of Mathematics and Statistics then one of these should be available and the lecture notes should open automatically. If you cannot read the notes you want, try downloading the appropriate software from here. Some of my lecture notes are also available in PDF, but I recommend using the PostScript version.
Besides teaching university courses I have given talks on various topics at the Mathematical Association of NSW annual Talented Students' Day, and have published articles in Parabola, a mathematics journal for secondary students and teachers published by the Australian Mathematics Trust in association with the School of Mathematics. Here is a list of some talks and articles - more links will be added soon.
Arithmetic and music in twelve easy steps (PostScript/PDF). Why are there twelve semitones in an octave and not, say, eleven or thirteen? This article shows that there are good mathematical reasons behind this basic musical fact.
Waiter! A table for infinitely many please.
Beginning algebraic number theory (PostScript/PDF). The recent proof of Fermat's Last Theorem is a mathematical mountain which few can scale. However, a ramble through the foothills surrounding it will provide many fascinating glimpses of the subject.
Ordering complex numbers... not (PostScript/PDF). At school you have probably been taught that it makes no sense to say that one complex number is less than another. However, there are various plausible ways in which we might attempt to do just that. Is it really true that none of them works? And if not, why not?