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Differential geometry : theory and applications /

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 conside...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Ciarlet, Philippe G., Li, Daqian
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore, SG : World Scientific, ©2008.
Colección:Series in contemporary applied mathematics ; 9.
Temas:
Acceso en línea:Texto completo

MARC

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520 |a 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 
505 0 |a 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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700 1 |a Li, Daqian. 
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830 0 |a Series in contemporary applied mathematics ;  |v 9. 
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