"Although several other books on vortex dynamics have appeared in recent years, none have the level of detail on these discrete vortex models that Newton…
"This is a very timely addition to the literature. … Exercises are scattered throughout the book, many of them quite substantial. … A massive bibliography - a treasure in itself - concludes the text. Although several other books on vortex dynamics have appeared in recent years, none have the level of detail on these discrete vortex models that Newton achieves. The book is sure to be a key reference work on this area for many years to come." (Hassan Aref, Mathematical Reviews, Issue 2002 f)
"The goal of this book is to describe the Hamilton aspects of vortex dynamics in such a way that graduate students and researchers can use this book as an entry level text to the rather large literature on integrable and non-integrable vortex problems … . The book is well written with each chapter containing useful biographical notes and exercises. Of particular note is the extensive list of seven hundred and seventy four references." (Ernie Kalnins, New Zealand Mathematical Society Newsletter, Issue 85, 2002)
"The author describes Hamiltonian aspects of vortex dynamics, enabling graduate students and researchers to use this book as an entry point into large literature on integrable and nonintegrable vortex problems. … Exercises given at the end of each chapter could be very useful to the readers to enhance their knowledge. … The references are adequate for further study. … The book is a welcome addition to book shelves of researchers pursuing the N-vortex problem.
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