This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of ...
A frame independent formulation of analytical mechanics in the Newtonian space-time is presented. The differential geometry of affine values (AV differential geometry), i.e. the differential geometry in which affine bundles replace vector bundles and sections of one-dimensional affine bundles replace fu...
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All the required elements of continuum mechanics, deformation theory anddifferential geometryare also covered.───连续统一体力学, 变形理论和不同几何学的全部被要求的要素也被包括. This type of differentiation is commonly used in classicaldifferential geometry.───这种类型的分化,是常用的古典微分几何。
Lorentzian geometry, particularly global geometric and causal theoretic aspects of spacetimes satisfying the Einstein equations. Nonlinear hyperbolic systems arising in continuum physics such as: hyperbolic models of fluid dynamics, mixed models of transonic flows, etc. ...
DifferentialGeometryanditsApplications.ByJohnOprea.TheMathematicalAssociationofAmerica,2ndedition,2007,xxi+469pages,ISBN978-0883857489,$69.95.Reviewedby:KristopherTappWhatisthebestcoursetohelpstudentsmakethetransitionfrommultivariablecalculusandlinearalgebra(andpossiblyalgebraoranalysis)intohigherabstractmathematics?What...
出版年:2010-3-18 页数:406 定价:USD 49.95 装帧:Paperback 丛书:Springer Undergraduate Mathematics Series ISBN:9781848828902 豆瓣评分 评价人数不足 评价: 写笔记 写书评 加入购书单 分享到 推荐 内容简介· ··· Elementary Differential Geometry presents the main results in the differential geometry of curv...
It is shown that the principle of locality and noncommutative geometry can be connected by a sheaf theoretical method. In this framework quantum spaces are... MJ Pflaum - 《Communications in Mathematical Physics》 被引量: 105发表: 1994年 From continuum to lattice theory via deformation of the ...
Lorentzian geometry, particularly global geometric and causal theoretic aspects of spacetimes satisfying the Einstein equations. Nonlinear hyperbolic systems arising in continuum physics such as: hyperbolic models of fluid dynamics, mixed models of transonic flows, etc. General problems that are dominated ...
The method pays particular attention to possible interferences, and these include particle size variation (i.e., in a powdered specimen), presence of impurities, inhomogeneity, and decomposition in air. Most of these are pertinent to composite materials analysis. The geometry of the specimen is of...