An Introduction to Differential Geometry with Applications to Elasticity
Philippe G. CiarletThis 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.
Kategori:
Tahun:
2006
Edisi:
2005
Penerbit:
Springer
Bahasa:
english
Halaman:
210
ISBN 10:
1402042477
ISBN 13:
9781402042478
Fail:
PDF, 1.83 MB
IPFS:
,
english, 2006