An Introduction to Differential Geometry with Applications to Elasticity
An Introduction to Differential Geometry with Applications to Elasticity
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DOI：
10.1007/s10659-005-4738-8
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发表时间：
2006-05
影响因子：
2
通讯作者：
P. G. Ciarlet
中科院分区：
文献类型：
--
作者：
P. G. Ciarlet
本书以作者多年来在巴黎皮埃尔和玛丽居里大学、斯图加特大学和香港城市大学的演讲为基础。它的双重目的是全面介绍微分几何的基本定理和曲线坐标下的弹性理论。处理基本上是独立的，证据是完整的。先决条件主要包括分析和泛函分析的基本概念的工作知识，如微分学，积分理论和Sobolev空间，以及对常微分方程和偏微分方程的一些熟悉。
This book is based on lectures delivered over the years by the author at the Université Pierre et Marie Curie, Paris, at the University of Stuttgart, and at City University of Hong Kong. Its two-fold aim is to give thorough introductions to the basic theorems of differential geometry and to elasticity theory in curvilinear coordinates.The treatment is essentially self-contained and proofs are complete. The prerequisites essentially consist in a working knowledge of basic notions of analysis and functional analysis, such as differential calculus, integration theory and Sobolev spaces, and some familiarity with ordinary and partial differential equations.