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Spinning Tops: A Course on Integrable Systems PDF

153 Pages·1999·12.062 MB·English
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by Michele Audin| 1999| 153 pages| 12.062| English

About Spinning Tops: A Course on Integrable Systems

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. Many mathematicians have established a modern view of the role played by algebraic geometry in recent years. This book presents some of these modern 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, while in appendices the author describes general, abstract theory. She gives the methods a topological application, for the first time in book form, to the study of Liouville tori and their bifurcations.

Detailed Information

Author:Michele Audin
Publication Year:1999
ISBN:521779197
Pages:153
Language:English
File Size:12.062
Format:PDF
Price:FREE
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