Springer Dynamical Systems X: General Theory of Vortices - Mathematical Sciences

Dynamical Systems X: General Theory of Vortices is volume 67 in Springer's Encyclopaedia of Mathematical Sciences series, offering a comprehensive exploration of vortex theory within the framework of dynamical systems. This scholarly work bridges classical mechanics principles with modern mathematical analysis, examining the fundamental dynamics that govern vortex behaviour in fluid systems and beyond. The text draws on the historical foundations laid by Newton, Kepler, and continental mathematicians, whilst advancing contemporary understanding of how vortices evolve and interact in complex dynamical environments. Ideal for advanced mathematics students, researchers, and theoretical physicists, this reference work provides rigorous mathematical treatment of vortex dynamics, connecting historical perspectives on mechanics with cutting-edge dynamical systems theory to illuminate the underlying principles governing rotational phenomena across physical disciplines.