ENGLISH

Spinning Tops: A Course on Integrable Systems

By Michele Audin

Book information

Publisher
Cambridge University Press
Year
1999
ISBN
9780521779197, 0521779197
Language
english
Format
PDF
Filesize
12 MB (12648402 bytes)
Series
Cambridge Studies in Advanced Mathematics 51
Pages
148\153
Topic
Education
Time added
2011-06-04 13:46:07

Description

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.

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