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Titlebook: Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics; Yuri E. Gliklikh Book 1996 Springer Science+Business Med

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发表于 2025-3-21 18:18:50 | 显示全部楼层 |阅读模式
书目名称Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics
编辑Yuri E. Gliklikh
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics;  Yuri E. Gliklikh Book 1996 Springer Science+Business Med
描述The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics. In particular, during the last decades a new branch of Global Analysis, Stochastic Differential Geometry, was formed to meet the needs of Mathematical Physics. It deals with a lot of various second order differential equations on finite and infinite-dimensional manifolds arising in Physics, and its validity is based on the deep inter-relation between modem Differential Geometry and certain parts of the Theory of Stochastic Processes, discovered not so long ago. The foundation of our topic is presented in the contemporary mathematical literature by a lot of publications devoted to certain parts of the above-mentioned themes and connected with the scope of material of this book. There exist some monographs on Stochastic Differential Equations on Manifolds (e. g. [9,36,38,87]) based on the Stratonovich approach. In [7] there is a detailed description of It6 equations on manifolds in Belopolskaya-Dalecky form. Nelson‘s book [94] deals with Stochastic Mechanics and mean derivatives on Riema
出版日期Book 1996
关键词Probability theory; Stochastic processes; differential geometry; manifold; mathematical physics; stochast
版次1
doihttps://doi.org/10.1007/978-94-015-8634-4
isbn_softcover978-90-481-4731-1
isbn_ebook978-94-015-8634-4
copyrightSpringer Science+Business Media Dordrecht 1996
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发表于 2025-3-21 20:19:41 | 显示全部楼层
Yuri E. Gliklikhations. " - T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to sout
发表于 2025-3-22 00:27:06 | 显示全部楼层
Yuri E. Gliklikh- T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to southwest most
发表于 2025-3-22 05:07:44 | 显示全部楼层
Yuri E. Gliklikhosts. And the ability to set prices above cost depends on market power and the firm’s ability to make use of innovative (demand-responsive) pricing techniques and market information. Although cost advantages may confer carriers a basis to exercise market power and price leadership, market power in t
发表于 2025-3-22 10:49:04 | 显示全部楼层
Yuri E. Gliklikhations. " - T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to sout
发表于 2025-3-22 14:20:08 | 显示全部楼层
Yuri E. Gliklikhlude microcell and macrocell propagation prediction models, multiple access technologies, and interference between PCS users and microwave Operational Fixed Service (OFS) users. The purpose of this paper is to show that microcells PCS system design contributes less interference power to the OFS user
发表于 2025-3-22 19:45:49 | 显示全部楼层
- T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to southwest most
发表于 2025-3-23 00:56:22 | 显示全部楼层
,Elements of Coordinate — Free Differential Geometry,pace (e.g., the so-called generalized coordinates of mechanics) but a total coordinate system, applicable to all points, is absent. The notion of manifold is a mathematical formalization for such sets.
发表于 2025-3-23 03:46:46 | 显示全部楼层
Introduction To Stochastic Analysis in Rn,ble map, measure, independence, and so on. In this section, for the sake of convenience of presentation, we give some definitions from the advanced probability theory and the theory of stochastic processes. For the sake of completeness we start with the following.
发表于 2025-3-23 08:42:12 | 显示全部楼层
Stochastic Differential Equations on Manifolds,o stochastic differential equations and (7.17) for solutions of Stratonovich stochastic differential equations. Consider a diffeomorphism of the separable Hilbert space F, namely a change of coordinates Φ: F → F. According to (7.17) a solution of a Stratonovich equation transforms under Φ via the or
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