A Course on Integrable Systems
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Spinning Tops by Michele Audin
Book DescriptionSince the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies provided by classical mechanics. A modern view of the role played by algebraic geometry has been established iby many mathematicians. This book presents some of these techniques, which fall within the orbit of finite dimensional integrable systems. The main body of the text presents a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics, whilst in appendices the general, abstract theory is described. The methods are given a topological application to the study of Liouville tori and their bifurcations. The book is based on courses for graduate students given by the author at Strasbourg University but the wealth of original ideas will make it also appeal to researchers.
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Book DetailsISBN: 9780521561297
(228mm x 152mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Jul-1996
Country of Publication: United Kingdom
Books By Author Michele Audin
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Morse Theory and Floer Homology, Paperback (November 2013)
Morse Theory and Floer Homology
Spinning Tops, Paperback (November 1999)» View all books by Michele Audin
Graduate text looking at interaction of algebraic geometry and classical mechanics.
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