Plus.Maths.org
irrational number
We take it back to the basics by looking at some favourite number families — from natural to irrational and from prime to complex.
This article explores this most beautiful of numbers. Find out its definition, why its value can only ever be approximated, what it has to do with waves, and why it contains the history of the Universe.
We celebrate pi day with a look at the number itself as well as some of its fellow numbers we particularly like.
The golden ratio has many amazing properties. But is it really a secret of nature and the epitome of beauty?
We take the real numbers for granted, but what are they really?
Here's one of the most elegant proofs in all of maths. Rejoice in its simplicity!
In the fourth and final part of our series celebrating 300 years since Leonhard Euler's birth, we let Euler speak for himself. Chris Sangwin takes us through excerpts of Euler's algebra text book and finds that modern teaching could have something to learn from Euler's methods.
Nineteenth-century German mathematician Leopold Kronecker once said
God created the integers, all the rest is the work of man.
For millennia, puzzles and paradoxes have forced mathematicians to continually rethink their ideas of what proofs actually are. Jon Walthoe explains the tricks involved and how great thinkers like Pythagoras, Newton and Gödel tackled the problems.