ENGLISH

Differential Geometry: Theory and Applications (Contemporary Applied Mathematics)

By Philippe G. Ciarlet , Ta-Tsien Li

Book information

Year
2008
ISBN
9812771468, 9789812771469
Open Library ID
OL22553378M
Language
english
Format
PDF
Filesize
19 MB (19723875 bytes)
Pages
302\302
Orientation
yes
Scanned
no
Time added
2011-06-04 13:46:07

Description

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. Contents: An Introduction to Differential Geometry in 3 (P G Ciarlet); An Introduction to Shell Theory (P G Ciarlet & C Mardare); Some New Results and Current Challenges in the Finite Element Analysis of Shells (D Chapelle); A Differential Geometry Approach to Mesh Generation (P Frey).

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