Details

Differential Geometry: Theory And Applications


Differential Geometry: Theory And Applications


World Scientific Lecture Notes In Complex Systems

von: Blasius Bernd Blasius

63,00 €

Verlag: World Scientific Publishing
Format: PDF
Veröffentl.: 24.09.2007
ISBN/EAN: 9789814474214
Sprache: englisch
Anzahl Seiten: 250

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Beschreibungen

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 &quote;classical&quote; 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.

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