An Introduction to Differential Geometry with Applications to Elasticity

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An Introduction to Differential Geometry with Applications to Elasticity By Philippe G. Ciarlet
Publisher: Sp.ring.er 2006 | 212 Pages | ISBN: 1402042477 | DJVU | 2 MB




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.



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