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　　分類: 图书,自然科学,数学,微积分 ,

作者： （法）希阿雷，李大潜 主编

出 版 社： 高等教育出版社

出版时间： 2007-11-1字数：版次： 1页数： 292印刷时间： 2007/11/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9787040222838包装： 精装内容简介

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.

目录

Preface

Philippe G. Ciarlet: An Introduction to Differential Geometry in R 3

Philippe G. Ciarlet, Cristinel Mardare: An Introduction to 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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