In this video, we explore line integrals in polar coordinates, a key concept in mathematical physics. I’ll guide you through how to set up and evaluate line integrals in polar systems, including ...

We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after ...

Description: Multivariate calculus; partial differentiation; implicit function theorems and transformations; line and surface integrals; vector fields; theorems of Gauss, Green, and Stokes. Credit ...