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Poplular Maths Articles

General tips for studying mathematics

I don’t know that I would have anything to say that’s not a platitude, but here are some thoughts.

dan 2021-10-092021-10-09 Etc., Poplular Maths Articles No Comments Read more

Summarise your maths research in one slide, Dan

As part of an upcoming workshop participants were asked to introduce themselves with a one-page slide. I took it as an extreme form of concision: summarise your maths research in one slide, Dan.

dan 2021-09-032021-09-03 Notes, Poplular Maths Articles No Comments Read more

One line Euler line

A fun fact from Euclidean geometry that I thought was a wonderful enough gem to share. It’s standard, but it’s nowhere near any curriculum. I’ll try not to get too snarky about the curriculum.

dan 2021-06-142021-06-14 Poplular Maths Articles No Comments Read more

From Here to Hensel

Here’s a nice maths problem, which I thought it would be fun to discuss. The question doesn’t involve any advanced concepts, but it leads on to a very nice result called Hensel’s lemma.

dan 2020-12-052020-12-05 Poplular Maths Articles No Comments Read more

Return of the Euler-Fermat theorem

A long long time ago, in a galaxy far away, I wrote up an account of the Euler-Fermat theorem for school students.

dan 2020-12-022020-12-02 Poplular Maths Articles No Comments Read more

Sitting out the math wars

Very few professional mathematicians have been involved in the “math wars”, and when they have, they have not always inspired confidence. I wondered why.

dan 2020-08-232020-08-23 Etc., Poplular Maths Articles No Comments Read more

Not human, but inhabited by humans: writing mathematics

Mathematics can be written in many ways. One approach, very popular with professional pure mathematicians, is to write as little as possible. But there should also be others.

dan 2020-08-172020-08-17 Poplular Maths Articles No Comments Read more

Breakthroughs in primary school arithmetic

Humans have known how to multiply natural numbers for a long time. In primary school you learn how to multiply numbers using an algorithm which is often called long multiplication, but it’s called “long” for a reason! Recently, a new paper purports to give an algorithm to multiply faster.

dan 2019-05-052020-06-17 Poplular Maths Articles No Comments Read more

From Liouville geometry to contact geometry

The standard contact structure on R^3.

(Technical) We’re going to take Liouville structures and move them into 3 dimensions, to obtain contact structures.

dan 2019-02-032020-06-21 Notes, Poplular Maths Articles No Comments Read more

Lovely Liouville geometry

Lovely Liouville geometry

(Technical) I’d like to show you some very nice geometry, involving some vector fields and differential forms.

dan 2019-02-012020-09-21 Notes, Poplular Maths Articles 2 Comments Read more
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Recent popular articles

  • General tips for studying mathematics
  • Summarise your maths research in one slide, Dan
  • One line Euler line
  • From Here to Hensel
  • Return of the Euler-Fermat theorem
  • Sitting out the math wars
  • Not human, but inhabited by humans: writing mathematics
  • Breakthroughs in primary school arithmetic
  • From Liouville geometry to contact geometry
  • Lovely Liouville geometry
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