Search

...introduction to metric spaces and continuity. The key idea is to use three particular properties of the Euclidean distance as the basis for defining what is meant by a general distance function, a metric. Section 1 introduces the idea of a metric space and shows how this concept allows us to generalise the notion of continuity. Section 2 develops the idea of sequences and...

...introduction The rainbow analysed introduction Aristotle's theory In about 300BC Greek philosopher Aristotle proposed a theory to why the rainbow has such a specific shape. A full circle rainbow? Aristotle's model also tells us that if we are high enough we can see the full rainbow circle. This is often witnessed from planes. The colours of the rainbow Why does a rainbow...