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Differential geometry : theory and applications / editors, Philippe G. Ciarlet, Ta-Tsien Li.

Contributor(s): Ciarlet, Philippe G | Li, DaqianMaterial type: TextTextSeries: Series in contemporary applied mathematics ; 9.Publication details: Singapore, SG : World Scientific, ©2008. Description: 1 online resource (292 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9812771476; 9789812771476; 1281911771; 9781281911773; 9786611911775; 6611911774Subject(s): Geometry, Differential | MATHEMATICS -- Geometry -- Differential | Geometry, DifferentialGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Differential geometry.DDC classification: 516.36 22 LOC classification: QA641 | .D425 2008ebOnline resources: Click here to access online
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.
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Includes bibliographical references.

Print version record.

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.

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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