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Titlebook: Global and Stochastic Analysis with Applications to Mathematical Physics; Yuri E. Gliklikh Book 2011 Springer-Verlag London Limited 2011 G

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Yuri E. GliklikhCovers branches of mathematics previously absent in monograph form.Combines methods of Global and Stochastic Analysis, enabling a more or less common treatment for areas of mathematical physics tradit
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Kurzes Lehrbuch der Physiologischen Chemieartman, .)). The main aim of this section is to modify some conditions of this sort in such a way that they become necessary and sufficient. The trick here is the transition to extended phase spaces and an analysis of the so-called proper functions or complete Riemannian metrics on manifolds.
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Kurzgefaßte Elektrizitätswirtschaftslehre,.) with kinetic energy given by the (weak) Riemannian metric. Here we analyze those systems which are naturally related to certain problems of hydrodynamics. Note that according to the Lagrangian formalism, a trajectory of such a system gives the flow of a fluid.
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Analysis on Groups of Diffeomorphisms... A detailed description of Sobolev spaces can be found, e.g., in (Egorov, .). An introduction to the manifold structure in functional sets can be found in (Eliasson, .). The reader may wish to consult (Ebin and Marsden, .) for details on the remaining material of this section.
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