I still remember in high school, we only need two or three equations
to solve a free-fall problem. In another book, basically the same
question, but someone uses Hamiltonian framework to solve really
complex PDEs and couple pages with those crazy equations to basically
solve the same thing, and eventually got the same results.
I still remember that was mind-blowing. High school physics is so
simple, whereas the Hamilton is so complex. I later on notice that
Hamilton is kind of a more standard way to solve the problem. Never
mind, I'm not an expert on it, but I'm just kind of amazed by the
Hamiltonian mechanics.
I still remember that was mind-blowing. High school physics is so simple, whereas the Hamilton is so complex. I later on notice that Hamilton is kind of a more standard way to solve the problem. Never mind, I'm not an expert on it, but I'm just kind of amazed by the Hamiltonian mechanics.