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.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Maße
Höhe: 231 mm
Breite: 155 mm
Dicke: 20 mm
Gewicht
ISBN-13
978-981-277-146-9 (9789812771469)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Herausgeber*in
Fudan Univ, China
City Univ Of Hong Kong, Hong Kong
An Introduction to Differential Geometry (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).