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...

Ausführliche Beschreibung

Bibliographische Detailangaben

Weitere beteiligte Personen:	Ciarlet, Philippe G. 1938- (HerausgeberIn), Li, Daqian 1937- (HerausgeberIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	New Jersey ; London ; Singapore World Scientific [2008] Beijing Higher Education Press [2008]
Schriftenreihe:	Series in contemporary applied mathematics 9
Schlagwörter:	Geometry, Differential Differentialgeometrie Anwendung Konferenzschrift > 2006 > Schanghai
Links:	http://www.worldscientific.com/worldscibooks/10.1142/6598#t=toc https://doi.org/10.1142/6598 https://doi.org/10.1142/6598
Zusammenfassung:	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, and mesh generation in finite element methods. This volume will be very useful to graduate students and researchers in pure and applied mathematics.
Umfang:	1 Online-Ressource (292 Seiten) Illustrationen
ISBN:	9812771476 9789812771476 9789814474214
DOI:	10.1142/6598