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


 Internet  Electronic Book    AVAILABLE
Description 1 online resource (292 pages) : illustrations
Series Series in contemporary applied mathematics ; 9
Series in contemporary applied mathematics ; 9.
Bibliog. Includes bibliographical references.
Note Available only to authorized UTEP users.
Print version record.
Subject Geometry, Differential.
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
Other Author Ciarlet, Philippe G.
Li, Daqian.
Other Title Print version: Differential geometry. Singapore, SG : World Scientific, ©2008