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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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樓主: 大口水罐
21#
發(fā)表于 2025-3-25 03:47:41 | 只看該作者
22#
發(fā)表于 2025-3-25 07:48:59 | 只看該作者
Some Problems on Lorentz Manifoldsy and to describe the relativistic problems discussed below. We are mainly interested in the constructions of general relativity, the formulae of special relativity arising as consequences of the latter. Since the exposition is intended for mathematicians, we present it axiomatically, starting from
23#
發(fā)表于 2025-3-25 14:56:22 | 只看該作者
24#
發(fā)表于 2025-3-25 17:51:26 | 只看該作者
Hydrodynamics,.) 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.
25#
發(fā)表于 2025-3-25 21:47:59 | 只看該作者
26#
發(fā)表于 2025-3-26 03:01:30 | 只看該作者
1864-5879 ss common treatment for areas of mathematical physics tradit.

Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is f

27#
發(fā)表于 2025-3-26 06:42:05 | 只看該作者
28#
發(fā)表于 2025-3-26 12:09:38 | 只看該作者
29#
發(fā)表于 2025-3-26 15:36:34 | 只看該作者
30#
發(fā)表于 2025-3-26 17:56:51 | 只看該作者
https://doi.org/10.1007/978-3-663-04195-5e description of this theory requires a complicated functional-analytic machinery that is not included in our exposition. For simplicity of presentation, we restrict ourselves to the finite-dimensional version of the theory since, in applications, the theories yield very similar results.
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