Articles liés à Spinning Tops: A Course on Integrable Systems

Spinning Tops: A Course on Integrable Systems - Couverture rigide

Audin, M.

 
9780521561297: Spinning Tops: A Course on Integrable Systems
Couverture rigide
ISBN 10 : 0521561299 ISBN 13 : 9780521561297
Editeur : Cambridge University Press, 1996

Synopsis

Since 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Since 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.

Revue de presse

'This book has several remarkable features ... This small book has very rich contents which can be commended to any mathematician or physicist interested in the subject.' European Mathematical Society

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1996
Langue
anglais
ISBN 10 
0521561299
ISBN 13 
9780521561297
Reliure
Relié
Nombre de pages
148
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

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