Alasdair McAndrew
  • Member for 12 years
  • Last seen more than a week ago
42 answers
votes
14k views
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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41 answers
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91k views
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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10 answers
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24k views
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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8 answers
votes
5k views
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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14 answers
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5k views
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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9 answers
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4k views
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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28 answers
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20k views
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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23 answers
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8k views
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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65 answers
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11k views
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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77 answers
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10k views
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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