Because the time of Lagrange and Euler, it's been renowned that an figuring out of algebraic curves can light up the image of inflexible our bodies supplied via classical mechanics. Many mathematicians have validated a contemporary view of the function performed via algebraic geometry lately. This ebook offers a few of these glossy concepts, which fall in the orbit of finite dimensional integrable platforms. the most physique of the textual content offers a wealthy collection of equipment and ideas from algebraic geometry caused through classical mechanics, whereas in appendices the writer describes common, summary thought. She supplies the tools a topological software, for the 1st time in e-book shape, to the learn of Liouville tori and their bifurcations.
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