Additional Topics

Part of the Texts and Readings in Mathematics book series (volume 6)


Liouville’s theorem has its origin in classical mechanics. In its simplified version it gives a necessary and sufficient condition for a flow of homeomor-phisms on an open subset in ℝ n to be volume preserving. Following K. R. Parthasarathy [8] we give this version first, followed by a discussion of its version in classical mechanics.


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© Hindustan Book Agency 2013

Authors and Affiliations

  1. 1.University of MumbaiIndia

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