An interesting problem calling for "high perspectives" on elementary maths.
Lurking in my recent research readings, this is a problem at the intersection of middle school geometry and quantum chaos ... This week's post was delayed such that certain subscribers taking final exams won't be disturbed. Hope you all had fun. Question: Inscribe a triangle of minimum perimeter inside an arbitrary acute triangle. Demonstration I. … Continue reading FW’S NOTEBOOK #2 – Fagnano Problem
Will I have some theme for these posts? The question is, again, rather easy to state. But to me, it is one of the best introductory examples to ODE solving and chaos with a simple physical model. Q1. Describe the motion of a simple pendulum were you to replace the massless string with a spring … Continue reading FW’s NoteBook #1 – The Spring Pendulum Problem
Putting the iPad to the same good use, but publicly. Summer is beginning, and my first three years of formal college education has come to an end. During this period, I have perfected the skills of Googling for good questions and solutions on a variety of subjects, *rarely* for homework, and for self-study. It's time … Continue reading FW’s Notebook #0 – Opening and Big CIRCLE GEODESICS