Alasdair McAndrew
  • Member for 12 years, 2 months
  • Last seen more than a month ago
What should be offered in undergraduate mathematics that's currently not (or isn't usually)?
22 votes

I was never offered a geometry course as an undergraduate, and there's so much lovely geometry, from Euclidean and non-Euclidean geometries, to algebraic and differential geometry, and the rest. So......

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A single paper everyone should read?
19 votes

"On Computable Numbers, with an Application to the Entscheidungsproblem", Alan Turing, 1936. A great mind and a great paper.

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Fourier transform for dummies
4 votes

As well as all the abstract reasons above, one of the reasons the discrete Fourier transform is so widely used in signal and image analysis is the existence of Fast Fourier Transforms (of which there ...

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Which computer algebra system should I be using to solve large systems of sparse linear equations over a number field?
4 votes

If Magma can do this, you may well look at Sage, which is open source, remarkably powerful, and with support for sparse linear algebra.

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Basic software libraries for numerical analysis using modern programming languages?
3 votes

You might also check out the GNU Scientific Library (GSL) at http://www.gnu.org/software/gsl/, for which there are bindings and wrappers for other languages. Or you could forgo OOP and write your ...

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Introduction to wavelets?
3 votes

I think "Ripples in Mathematics: The Discrete Wavelet Transform" by Arne Jensen and Anders la Cour-Harbo (Springer 2001) is a masterpiece of elegant exposition. You can find it here. I learned more ...

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Writing papers in pre-LaTeX era?
2 votes

By the time I did my PhD these LaTeX was well established. I had done my masters several years before, and had that typed up for me (using a "golf-ball" selectric). The diagrams and symbols that the ...

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Great mathematical figures and/or diagrams?
2 votes

The figures in John Stillwell's books are always superbly drawn, and really enhance the exposition.

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Fiction books about mathematicians?
1 votes

Nobody has yet mentioned "The French Mathematician" by Tom Petsinis (http://amzn.to/NprQMg) a novelized telling of the life of Galois. As well as being a good read, it's meticulously researched (the ...

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What is the first interesting theorem in (insert subject here)?
0 votes

Plane geometry, either Euclid Bk 1, Prop 47 (Pythagoras' theorem), or the nine-point circle theorem. I can't decide.

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