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.
