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portada Spinning Tops Paperback: A Course on Integrable Systems (Cambridge Studies in Advanced Mathematics)
Type
Physical Book
Publisher
Author
Year
1999
Language
English
Pages
148
Format
Paperback
ISBN
0521779197
ISBN13
9780521779197
Categories

Spinning Tops Paperback: A Course on Integrable Systems (Cambridge Studies in Advanced Mathematics)

Michele Audin (Author) · Cambridge University Press · Paperback

Spinning Tops Paperback: A Course on Integrable Systems (Cambridge Studies in Advanced Mathematics) - Michele Audin

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Synopsis "Spinning Tops Paperback: A Course on Integrable Systems (Cambridge Studies in Advanced Mathematics) "

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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