Abstract
This is an introductory chapter which reviews the basic facts of Hamiltonian mechanics used throughout the book. More specific results are formulated in the main chapter as they become necessary. An updated treatment of most of these facts with accurate proofs can be found in the textbooks [Ar 1978], [AM 1978], [GS 1977], and the review papers [We 1977], [AKN 1985], [AG 1985]. For historical information we refer the reader to the fundamental treatise [Wh 1927] and the reviews [Cay 1857], [Cay 1862], [Pr 1935].
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© 1990 Birkhäuser Verlag Basel
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Perelomov, A.M. (1990). Preliminaries. In: Integrable Systems of Classical Mechanics and Lie Algebras. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9257-5_1
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DOI: https://doi.org/10.1007/978-3-0348-9257-5_1
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-2336-3
Online ISBN: 978-3-0348-9257-5
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