English translation of Sophie Kowalevski's "On the problem of the rotation of a rigid body about a fixed point"

This is an English translation and digitisation of Sophie Kowalevski's (also know as Sofya Kovalevskaya) paper on what is now known as the Kovalevskaya Top. The original paper was written in French and published in Vol 12 of Acta Mathematica in 1889 with the title "Sur le probleme de la rotation d'un corps solide autour d'un point fixe".