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Differential Geometry: Theory and Applic


作者:
Philippe G. Ciarlet、Tatsien Li
定价:
47.00元
ISBN:
978-7-04-022283-8
版面字数:
370千字
开本:
16开
全书页数:
292页
装帧形式:
精装
重点项目:
暂无
出版时间:
2007-11-22
读者对象:
学术著作
一级分类:
自然科学
二级分类:
数学与统计
三级分类:
几何学

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
  • 版权
  • 参考文献

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