An Introduction To Differential Geometry With Applications To Elasticity
by Philippe G. Ciarlet /
2006 / English / PDF
3.4 MB Download
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.
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.
