| 书目名称 | Differential Geometry | | 副标题 | Basic Notions and Ph | | 编辑 | Marcelo Epstein | | 视频video | | | 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 | | 丛书名称 | Mathematical Engineering | | 图书封面 |  | | 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 | | 关键词 | Continuum Mechanics; Differential Forms; Dislocations; Fibre Bundles; Groupoids; Lie Groups; Parallel Tran | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-06920-3 | | isbn_softcover | 978-3-319-35714-0 | | isbn_ebook | 978-3-319-06920-3Series ISSN 2192-4732 Series E-ISSN 2192-4740 | | issn_series | 2192-4732 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 19:14:44
