“Send me your rotation

let's focus on good definitions...”

The Jacobian & Divergence

In which I try to change variables in multiple integrals using divergence theorem. I sort of succeed.

The Jacobian & Determinants

I look into the source of using the Jacobian when we change variables.

An Annotated History of the Reals

In the beginning, there was nothing, \( 0 = \emptyset \). Then we realized it was something, \( 1 = \{ \emptyset \} \). Then we wondered, why not have another thing? \(2\). And another thing, \(3\). And another, \(4\), and another, \(5\), and another, \(6\), etc. Just like that, we had the natural numbers!1 And …