Because the time of Lagrange and Euler, it's been popular that an realizing of algebraic curves can remove darkness from the image of inflexible our bodies supplied through classical mechanics. Many mathematicians have demonstrated a contemporary view of the function performed via algebraic geometry lately. This booklet provides a few of these smooth thoughts, which fall in the orbit of finite dimensional integrable structures. the most physique of the textual content offers a wealthy collection of equipment and ideas from algebraic geometry caused via classical mechanics, whereas in appendices the writer describes common, summary conception. She supplies the equipment a topological program, for the 1st time in ebook shape, to the examine of Liouville tori and their bifurcations.
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