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Category Archives: books
Simon Norton
Simon Norton died last week. I got the news yesterday. I have written about Simon here before, after reading Alexander Masters’ biography. I have no intention of rehearsing Simon’s eccentricities. But he had an extraordinary talent and insight into mathematics, … Continue reading
Posted in books, mathematics and ...
Tagged Alexander Masters, how mathematicians think, Monster, Simon Norton
1 Comment
Books
I realised yesterday that, although I had moved the web pages of books I had written to my St Andrews website when I came here, I had neither updated them nor put links to them. I have done the easier … Continue reading
Posted in books, the Web
Tagged algebra, combinatorics, logic, permutation groups, set theory
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A mathematical promenade
I haven’t posted for a while; I have been in China where the firewall allows me to read WordPress but not to post. Normal service now resumed (hopefully). Given four real polynomials, all of which vanish at the origin, suppose … Continue reading
Posted in books, exposition
Tagged Hipparchus, permutation patterns, real algebraic curves, Schroeder numbers
1 Comment
Notes on Counting
My book Notes on Counting: An Introduction to Enumerative Combinatorics should be published by Cambridge University Press in June this year, as part of the Australian Mathematical Society Lecture Series. If you have read some of my lecture notes on … Continue reading
Oligomorphic Permutation Groups
In 1988, there was an LMS Durham symposium on model theory and groups. I had been developing the theory of oligomorphic permutation groups for some time: these are the permutation groups G on Ω with the property that the number … Continue reading
Posted in books, history
Tagged cycle index, growth rates, Hilbert series, LMS Durham symposium, species
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Not what it seems
There are many outstanding books explaining the latest developments at the frontiers of theoretical physics to general audiences. This is not an easy thing to do, but the physicists who have stepped up tend to be very good writers and … Continue reading
Posted in books
Tagged Bronstein, Dirac, Einstein, Heisenberg, loop quantum gravity, Newton, quantum mechanics, relativity
1 Comment
Huygens and Barrow, Newton and Hooke
Every now and again I take a random book down from my bookshelf and read it. Sometimes there is stuff worth talking about. This time it is V. Arnol’d’s book Huygens and Barrow, Newton and Hooke. This was written for … Continue reading
Posted in books
Tagged algebraically integrable ovals, calculus, inverse square law, V. Arnol'd
5 Comments
An LTCC book
The Taught Course Centres for PhD students in the Mathematical Sciences were set up as the result of a recommendation of the lastbutone International Review of Mathematics. The review panel said that the highly specialised nature of British PhDs meant … Continue reading
Alex through the looking glass
A few years ago now, I wrote about the launch of Alex’s Adventures in Numberland, a maths book for the general public by Alex Bellos. This year, I have read the followup, Alex through the Looking Glass, which I got … Continue reading
Posted in books, exposition
Tagged Alex Bellos, Game of Life, geometry, Lewis Carroll, numbers
3 Comments
Farewell Terry Pratchett
There is no point in trying to add to what others have said so well. Go look at XKCD, http://xkcd.com/1498/ or London Reconnections, http://www.londonreconnections.com/2015/ankhmorpocktransportcommitteemarch2015/