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" Differential geometry : "
editors, Philippe G. Ciarlet, Ta-Tsien Li.
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BL
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| Record Number
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1029634
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| Doc. No
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b784004
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| Title & Author
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Differential geometry : : theory and applications /\ editors, Philippe G. Ciarlet, Ta-Tsien Li.
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| Publication Statement
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Singapore, SG :: World Scientific,, ©2008.
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| Series Statement
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Series in contemporary applied mathematics ;; 9
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| Page. NO
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1 online resource (292 pages) :: illustrations.
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| ISBN
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1281911771
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: 6611911774
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: 9781281911773
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: 9786611911775
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: 9789812771476
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: 9812771476
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9812771468
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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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.
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| Abstract
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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.
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| Subject
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Geometry, Differential.
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| Subject
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Geometry, Differential.
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MATHEMATICS-- Geometry-- Differential.
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| Dewey Classification
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516.36 22
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| LC Classification
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QA641.D425 2008eb
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| Added Entry
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Ciarlet, Philippe G.
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Li, Daqian.
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