Spinning Tops: A Course on Integrable Systems (Cambridge Studies in Advanced Mathematics, Series Number 51) by M. Audin (PDF)

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.

User’s Reviews

Editorial Reviews: Review “Among its virtues, this book strikes me as a marvelous introduction for students….the book is peppered with wisdom, the things that books never tell you…” Mathematical Reviews Book Description Graduate text looking at interaction of algebraic geometry and classical mechanics.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Merci!

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⭐Très bon livre, mais très technique. Nécessite des connaissances mathématiques certaines. Aucun résultat concret pour des toupies réelles. Aucune prise en compte des phénomènes de frottement.

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