Seminário da Dead Physicists Society (seminários de graduação)
"Approximation and Interpolation by Rational Curves and some of its applications in physics"
Felipe Dilho Alves, estudante do bacharelado - IFUSP
10 de outubro, quarta-feira, IFUSP, Ed. Principal, Ala Central, Sala 202, às 14h.
Abstract:
Throughout an usual undergraduate course in physics, we are exposed to several fairly general results involving curves, that are mainly, Green's Theorem, Stokes' Theorem and the Gradient theorem. Nevertheless, we always restrict ourselves to work with easily parametrized curves, such as, straight lines, circles, ellipses and curves defined by the elementary functions.
However in several physical situations of the real world , we see ourselves with the problem of having to describe a arbitrary curve mathematically, but because this curve is arbitrary, we don't have, in general, an exact form to express it. (Such as through one function with varying paramethers, or with differential equations).
In these conditions, we have as our only resouce the methods of approximation and interpolation, to achieve the mathematical expression that models the sought after curve, whence the motivation to present this seminar is taken.
