微分几何——理论与应用（英文版）
作者： Philippe G.Ciarlet等
出版时间：2007-06
出版社：高等教育出版社
- 高等教育出版社
- 9787040222838
- 1版
- 227552
- 46253838-0
- 精装
- 特殊
- 2007-06
- 400
- 300
- 理学
- 数学
- O18
- 数学类
- 研究生及以上
This book gives the basic notions of differential geometry,such as the metric tensor, the Riemann curvature tensor,the fundamental forms of a surface, covariant derivatives,and the fundamental theorem of surface theory in a self-contained and accessible manner. Although the field is often considered a "classical" one, it has recently been rejuvenated, thanks to the manifold applications where it plays an essential role. The book presents some important applications to shells,such as the theory of linearly and nonlinearly elastic shells, the implementation of numerical methods for shells, and mesh generation in finite element methods. This volume will be very useful to graduate students and researchers in pure and applied mathematics.
Front Matter
Philippe G. Ciarlet: An Introduction to Differential Geometry in R3
Philippe G. Ciarlet, Cristinel Mardare: An Introductionto Shell Theory
Dominique Chapelle: Some New Results and Current Challenges in the Finite Element Analysis of Shells
Pascal Frey: A Differential Geometry Approach to Mesh Generation
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