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An Introduction to Differential Geometry with Applications...

An Introduction to Differential Geometry with Applications to Elasticity

Philippe G. Ciarlet
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This monograph presents the basic theorems of differential geometry in three-dimensional space, including a thorough coverage of surface theory. By means of a series of carefully selected and representative mathematical models this monograph also explains at length how these theorems are used in three-dimensional elasticity and in shell theory. The presentation is essentially selfcontained, with a great emphasis on pedagogy. In particular, no "a priori" knowledge of differential geometry or of elasticity theory is assumed, the only requirements are a reasonable knowledge of basic analysis, functional analysis, and some acquaintance with ordinary and partial differential equations.

种类:
年:
2006
出版:
2005
出版社:
Springer
语言:
english
页:
210
ISBN 10:
1402042477
ISBN 13:
9781402042478
文件:
PDF, 1.83 MB
IPFS:
CID , CID Blake2b
english, 2006
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