Read e-book online An Introduction to Differential Geometry with Applications PDF

By Philippe G. Ciarlet

ISBN-10: 1402042477

ISBN-13: 9781402042478

This monograph provides the fundamental theorems of differential geometry in third-dimensional house, together with an intensive assurance of floor concept. through a sequence of rigorously chosen and consultant mathematical versions this monograph additionally explains at size how those theorems are utilized in third-dimensional elasticity and in shell concept. 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 thought, the single standards are an inexpensive wisdom of uncomplicated research, sensible research, and a few acquaintance with traditional and partial differential equations.

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An Introduction to Differential Geometry with Applications to Elasticity by Philippe G. Ciarlet

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