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Philippe G. Ciarlet
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دانلود کتاب An Introduction to Differential Geometry with Applications to Elasticity
by Philippe G. Ciarlet|
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عنوان فارسی: مقدمه ای بر هندسه دیفرانسیل با نرم افزار به کشش |
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جزییات کتاب
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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