Read e-book online An Introduction to Differential Geometry with Applications 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 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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Additional info for 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