Topological methods in hydrodynamics

the long version

Topological Methods in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. The necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as to pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems, and differential geometry.