This book presents fundamental concepts and seminal results to the
study of vortex filaments in equilibrium. It also presents new
discoveries in quasi-2D vortex structures with applications to
geophysical fluid dynamics and magnetohydrodynamics in plasmas. It
fills a gap in the vortex statistics literature by simplifying the
mathematical introduction to this complex topic, covering numerical
methods, and exploring a wide range of applications with numerous
examples. The authors have produced an introduction that is clear
and easy to read, leading the reader step-by-step into this topical
area. Alongside the theoretical concepts and mathematical
formulations, interesting applications are discussed. This
combination makes the text useful for students and researchers in
mathematics and physics.
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