Item description for Differential Geometry: Theory and Applications (Contemporary Applied Mathematics) by 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).
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 0.75" Width: 6" Height: 9.25" Weight: 1.2 lbs.
Release Date May 6, 2008
Publisher World Scientific Publishing Company
ISBN 9812771468 ISBN13 9789812771469
Availability 0 units.
More About Philippe G. Ciarlet & Ta-Tsien Li
Philippe G. Ciarlet began his academic career at the Universite Pierre et Marie Curie, Paris, in 1974, and moved to the City University of Hong Kong in 2002. He is a member of eight academies, including the French Academy of Sciences and the Hong Kong Institution of Science, and is a Fellow of SIAM and the AMS. Ciarlet is the recipient of a Grand Prize from the French Academy of Sciences and a Humboldt Research Award, as well as many other awards. He is Doctor Honoris Causa, or Honorary Professor, at eight universities and the author of 190 research papers and fifteen books.
Philippe G. Ciarlet currently resides in Paris. Philippe G. Ciarlet has an academic affiliation as follows - City University of Hong Kong.