Springer Dynamical Systems X: General Theory of Vortices

Explore the fundamental principles of fluid motion and mathematical theory with Dynamical Systems X: General Theory of Vortices. Part of the prestigious Encyclopaedia of Mathematical Sciences (Volume 67), this work from Springer provides a deep look into the historical and scientific foundations of dynamics. Drawing on the legacy of thinkers like Newton, Descartes, and Leibnitz, the text examines the transition of mechanics from an experimental science to a deductive, a priori discipline. It touches upon the core principles established in Newton's Philosophiae Naturalis Principia Mathematica and the mathematical proofs required to understand the equivalence of Kepler's laws. This volume serves as a vital resource for students, researchers, and mathematicians interested in the evolution of mathematical physics and the complex study of vortices within dynamical systems.