Spinning Tops: A Course on Integrable Systems - Couverture rigide

Audin, M.

Couverture rigide

ISBN 10 : 0521561299 ISBN 13 : 9780521561297

Editeur : Cambridge University Press, 1996

Synopsis

Graduate text looking at interaction of algebraic geometry and classical mechanics.

A propos du livre

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

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 1996
• ISBN 10: 0521561299
• ISBN 13: 9780521561297
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 148
• Coordonnées du fabricant: non disponible