An introduction to differential geometry with applications to elasticity

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Abstract

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. © 2005 Springer. All Rights Reserved.

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APA

Ciarlet, P. G. (2005). An introduction to differential geometry with applications to elasticity. An Introduction to Differential Geometry with Applications to Elasticity (pp. 1–209). Springer Netherlands. https://doi.org/10.1007/1-4020-4248-5

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