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Titlebook: Differential Geometry; Basic Notions and Ph Marcelo Epstein Book 2014 Springer International Publishing Switzerland 2014 Continuum Mechanic

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樓主
發(fā)表于 2025-3-21 19:14:44 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Differential Geometry
副標(biāo)題Basic Notions and Ph
編輯Marcelo Epstein
視頻videohttp://file.papertrans.cn/279/278740/278740.mp4
概述Provides a comprehensive description of the geometric constructs that form the backbone of modern differential geometry.Demonstrates the close correspondence between geometrical objects and physically
叢書(shū)名稱Mathematical Engineering
圖書(shū)封面Titlebook: Differential Geometry; Basic Notions and Ph Marcelo Epstein Book 2014 Springer International Publishing Switzerland 2014 Continuum Mechanic
描述.Differential Geometry. offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics..Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework. They are shown to be relevant to the description of space-time, configuration spaces of mechanical systems, symmetries in general, microstructure and local and distant symmetries of the constitutive response of continuous media..Once these ideas have been grasped at the topological level, the differential structure needed for the description of physical fields is introduced in terms of differentiable manifolds and principal frame bundles. These mathematical concepts are then illustrated with examples from continuum kinematics, Lagrangian and Hamiltonian mechanics, Cauchy fluxes and dislocation theory..This book will be useful for researchers and graduate students in science and engineering..
出版日期Book 2014
關(guān)鍵詞Continuum Mechanics; Differential Forms; Dislocations; Fibre Bundles; Groupoids; Lie Groups; Parallel Tran
版次1
doihttps://doi.org/10.1007/978-3-319-06920-3
isbn_softcover978-3-319-35714-0
isbn_ebook978-3-319-06920-3Series ISSN 2192-4732 Series E-ISSN 2192-4740
issn_series 2192-4732
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

書(shū)目名稱Differential Geometry影響因子(影響力)




書(shū)目名稱Differential Geometry影響因子(影響力)學(xué)科排名




書(shū)目名稱Differential Geometry網(wǎng)絡(luò)公開(kāi)度




書(shū)目名稱Differential Geometry網(wǎng)絡(luò)公開(kāi)度學(xué)科排名




書(shū)目名稱Differential Geometry被引頻次




書(shū)目名稱Differential Geometry被引頻次學(xué)科排名




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沙發(fā)
發(fā)表于 2025-3-21 22:23:37 | 只看該作者
https://doi.org/10.1007/978-1-84800-209-8mbers. What are these numbers coordinates of? An answer to this question, which could not have been, and was in fact not, asked at the time, would have brought Lagrange close to the general concept of topological manifold.
板凳
發(fā)表于 2025-3-22 02:48:03 | 只看該作者
地板
發(fā)表于 2025-3-22 06:27:22 | 只看該作者
5#
發(fā)表于 2025-3-22 09:56:31 | 只看該作者
Differential Constructs,tion of these theories, topological manifolds are not up to the task. In particular, in the absence of additional structure, it does not seem possible to entertain the notion of differentiability of fields defined over a topological manifold.
6#
發(fā)表于 2025-3-22 13:28:15 | 只看該作者
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發(fā)表于 2025-3-22 19:58:39 | 只看該作者
8#
發(fā)表于 2025-3-22 22:44:58 | 只看該作者
2192-4732 tonian mechanics, Cauchy fluxes and dislocation theory..This book will be useful for researchers and graduate students in science and engineering..978-3-319-35714-0978-3-319-06920-3Series ISSN 2192-4732 Series E-ISSN 2192-4740
9#
發(fā)表于 2025-3-23 02:38:20 | 只看該作者
Topological Constructs,ly divisible into parts, themselves infinitely divisible”. He also established that space has “three dimensions, by which all bodies are bounded”. Whatever else may be wrong in Aristotle, at least when it comes to this basic notion he got it right.
10#
發(fā)表于 2025-3-23 05:40:26 | 只看該作者
Physical Illustrations,m is characterized by a finite number . of . to each of which a . is assigned. A . of the system is thus identified with an ordered .-tuple of real numbers. What are these numbers coordinates of? An answer to this question, which could not have been, and was in fact not, asked at the time, would hav
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