This book is an introduction to current research on the N- vortex
problem of fluid mechanics. Its goal is to describe the Hamiltonian
aspects of vortex dynamics so that graduate students and
researchers can use the book as an entry point into the rather
large literature on integrable and non-integrable vortex problems
within the broader context of dynamical systems. It is as
self-contained as possible: the only training required of the
reader is a good background in advanced calculus and ordinary and
partial differential equations at the level of a typical
undergraduate engineering, physics, or applied mathematics major.
Exercises of varying difficulty are found at the end of each
chapter which often require the reader to fill in details of proofs
or complete examples.
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