The Number 'e'
The mathematical number ‘e’ has a celebrity status in maths, writes Steven Strogatz in The Joy of x : “A few numbers are such celebrities that they go by single-letter stage names, something not even Madonna… can match.” That line got me thinking. Why did it take me a very long to understand why ‘e’ is such a famous number? I mean, I am an engineer and all those years of maths and physics prior to that meant I had run into ‘e’ in all kinds of places. Within maths itself, the “natural” logarithm is to the base ‘e’, not 10, but that I dismissed as an arbitrary human choice. But I could also see ‘e’ in real world phenomenon, from the charging of a capacitor and inductor to the rate of radioactive decay. I’d always dismissed ‘e’ popping up in all kind of real world phenomenon as a coincidence. I mean, my idea of ‘e’ was based on how schools introduce ‘e’. Via an equation that seems contrived: How can the occurrence of such a ridiculously defined number popping up e...