Spinning Tops: A Course on Integrable Systems: 51 (Cambridge Studies in Advanced Mathematics, Series Number 51) - Hardcover

Audin, M.

Hardcover

ISBN 10: 0521561299 ISBN 13: 9780521561297

Publisher: 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.

About this title

Review

'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

Book Description

The main body of this text is a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics. 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 appeal to researchers also.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1996
• Language: English
• ISBN 10: 0521561299
• ISBN 13: 9780521561297
• Binding: Hardcover
• Number of pages: 148