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Download E-books An Introduction to Differential Geometry with Applications to Elasticity PDF

By Philippe G. Ciarlet

This monograph provides the fundamental theorems of differential geometry in third-dimensional house, together with an intensive assurance of floor conception. by way of a sequence of conscientiously chosen and consultant mathematical types this monograph additionally explains at size how those theorems are utilized in three-d elasticity and in shell thought. The presentation is largely selfcontained, with a very good emphasis on pedagogy. particularly, no "a priori" wisdom of differential geometry or of elasticity thought is believed, the single necessities are an affordable wisdom of uncomplicated research, useful research, and a few acquaintance with traditional and partial differential equations.

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