Spinning Tops : A Course on Integrable Systems
Book Details
Format
Paperback / Softback
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
0521779197
ISBN-13
9780521779197
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 13th, 1999
Print length
148 Pages
Weight
234 grams
Dimensions
22.70 x 15.20 x 0.90 cms
Ksh 10,100.00
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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.
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.
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