Who’s got the treatment protocol planned out for Patrick Bateman?
For example, we utilize integrals to calculate the area under a curve (for example, y = x^2). But for some reason, I don't ever recall ever having a problem where the goal was to calculate the length of a curved line (e.g., the length of y = x^2 over the interval [0, 2]). This doesn't seem like a trivial problem, and it would seem to have real-life applications. But I can't ever recall - through to third year university - being faced with this type of a problem.
As an aside, my interest in this emerged from a consideration of fractals that would be 1-d lines traversing 2-d space (the shoreline measurement problem which is scale focused). Would there be a particular branch of pure math that would be interested in these types of problems (e.g., finding bounds for measurements of a shoreline at various magnifications).
It’s fine..it’s cool…
My therapist is offering me great references and insights in our sessions. Sometimes it’s helpful to try to explore further between sessions.