## Suggestions for theorems

If you have a suggestion for a particular theorem that you’d like to see featured here, please let me know. I’m not making any promises, but I’ll do what I can!

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Expositions of interesting mathematical results

If you have a suggestion for a particular theorem that you’d like to see featured here, please let me know. I’m not making any promises, but I’ll do what I can!

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March 19, 2010 at 9:26 pm

Hey, I sneaked out after John’s talk tonight, but I really enjoyed it. Loving Theorem of the Week, it’s well written, and you’re going for classics like root 2 is irrational etc for the public which is great. I will keep an eye on it.

jim

March 19, 2010 at 9:46 pm

Thanks very much. I’m trying to go for a bit of a mixture between old classics, things I’m discussing with my students, and things that don’t get discussed with the public so much. Looks as though you’ve been doing singingbanana for rather longer than I’ve been doing this!

April 23, 2010 at 3:23 am

Please expound on the following theorem and proof, [Cantor–Bernstein–Schroeder theorem](http://en.wikipedia.org/wiki/Cantor%E2%80%93Bernstein%E2%80%93Schroeder_theorem#Another_proof “Using the Julius König variant proof”). I have a hope one day to see it used in a “surprising” way like a pigeonhole principle proof.

September 6, 2010 at 6:50 pm

How about explaining the Euler line??

September 22, 2010 at 12:48 pm

You could do a post on Cantor’s set being uncountable. I think it’s really strange that it can be uncountable when it has measure 0 but maybe that’s just me being silly!

September 30, 2010 at 10:36 am

Hi Vicky, 好久不见! That’s a very nice blog you have here. I’m not sure if you’re limiting the theorems you discuss to pure mathematics, but if not, Noether’s theorem might be nice. I hope all is going well in Cambridge. Best wishes from Mainz, Georg

September 30, 2010 at 3:59 pm

Thanks, Georg. The restriction is not to pure mathematics so much as to things I think I understand well enough to be able to write about them! So when I think of Noether, I think of Noetherian rings and the like; I hadn’t heard of Noether’s theorem. I had a quick look on Wikipedia, and it looks interesting — but I don’t think I’ll be up to writing a post about it any time soon, I’m afraid. Hope all’s well with you.

October 20, 2010 at 8:13 pm

Hi,

Nice blog. I went over some of the theorems and found them quite well explained and accessible to an average maths enthusiast/reader. This is something which makes this blog very informative and a pleasure to read in free time.

Recently I bought a Rubik’s Cube and have since been trying to solve it but sadly without any success. Most of the methods I searched over the internet are not very well-catered for beginners. I was wondering if you could come up with an interesting post detailing a beginner level solution to the Cube. That will surely be fun to read and informative as well! And Oh, I’m assuming that you know of the cube/puzzle 🙂

January 20, 2013 at 10:09 pm

Monsky’s Theorem!

http://en.wikipedia.org/wiki/Monsky's_theorem

Surprising, intruiging, and has been proved very originally (using, for instance, Sperner’s lemma on coloured triangles)…