Differential Geometry: Theory and Applications (Contemporary Applied Mathematics)
Philippe G. Ciarlet, Ta-Tsien Li
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. Contents: An Introduction to Differential Geometry in 3 (P G Ciarlet); An Introduction to Shell Theory (P G Ciarlet & C Mardare); Some New Results and Current Challenges in the Finite Element Analysis of Shells (D Chapelle); A Differential Geometry Approach to Mesh Generation (P Frey).
카테고리:
년:
2008
출판사:
World Scientific Publishing Company
언어:
english
페이지:
302
ISBN 10:
9812771468
ISBN 13:
9789812771469
파일:
PDF, 18.81 MB
IPFS:
,
english, 2008