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Book Cover
E-book

Title Differential geometry : theory and applications / editors, Philippe G. Ciarlet, Ta-Tsien Li
Published Singapore, SG : World Scientific, ©2008

Copies

Description 1 online resource (292 pages) : illustrations
Series Series in contemporary applied mathematics ; 9
Series in contemporary applied mathematics ; 9.
Contents An introduction to differential geometry in [symbol] / Philippe G. Ciarlet -- An Introduction to shell Theory / Philippe G. Ciarlet, Cristinel Mardare -- Some new results and current challenges in the finite element analysis of shells / Dominique Chapelle -- A differential geometry approach to mesh generation / Pascal Frey
Summary 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, an
Bibliography Includes bibliographical references
Notes Print version record
Subject Geometry, Differential.
MATHEMATICS -- Geometry -- Differential.
Geometry, Differential
Form Electronic book
Author Ciarlet, Philippe G
Li, Daqian
ISBN 9812771476
9789812771476
1281911771
9781281911773
9786611911775
6611911774