Tag: Euler

Could someone explain this contradiction to me?
Reading on with Julian Havil’s Gamma: Exploring Euler’s Constant and inspired by his discussion of the harmonic series, I come across this: Havil calls this a “nonlegitimate binomial expansion” and it seems to me it can be generalised: as And, indeed if we take we get: at the limit. But if we have it is […]

Euler’s formula proof
Reading An Introduction to Laplace Transforms and Fourier Series I reach the point where it is stated, rather axiomatically, that: . This is a beautiful formula and has always suggested to me some sort of mystical inner mathematical harmony (yes, I am a materialist, but I cannot help it). But these days I also want […]

Differential calculus reminder
This is just an online note to myself about differential calculus. A level maths again… Calculating where Using the chain rule: (as ) hence . So And , Euler’s number, really is magical. Related articles Using math symbols in wordpress pages and posts – LaTex (1) (etidhor.wordpress.com) Math it up. (ask.metafilter.com) When you get too […]