An Introduction to Differential Geometry with Applications to Elasticity

Author:   Philippe G. Ciarlet
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2005
ISBN:  

9789048170852


Pages:   209
Publication Date:   19 October 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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An Introduction to Differential Geometry with Applications to Elasticity


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Overview

"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."

Full Product Details

Author:   Philippe G. Ciarlet
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2005
Dimensions:   Width: 16.00cm , Height: 1.10cm , Length: 24.00cm
Weight:   0.454kg
ISBN:  

9789048170852


ISBN 10:   9048170850
Pages:   209
Publication Date:   19 October 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Three-Dimensional Differential Geometry.- Differential Geometry of Surfaces.- Applications to Three-Dimensional Elasticity in Curvilinear Coordinates.- Applications to Shell Theory.

Reviews

From the reviews: This is a book about differential geometry and elasticity theory also published earlier as journal article. And, indeed it covers both subjects in a coextensive way that can not be found in any other book in the field. ! the list of references containing more than 120 items is representative enough and the interested reader should be able to find them among these. (Ivailo Mladenov, Zentralblatt MATH, Vol. 1100 (2), 2007)


From the reviews: This is a book about differential geometry and elasticity theory also published earlier as journal article. And, indeed it covers both subjects in a coextensive way that can not be found in any other book in the field. ... the list of references containing more than 120 items is representative enough and the interested reader should be able to find them among these. (Ivailo Mladenov, Zentralblatt MATH, Vol. 1100 (2), 2007)


From the reviews: This is a book about differential geometry and elasticity theory also published earlier as journal article. And, indeed it covers both subjects in a coextensive way that can not be found in any other book in the field. ... the list of references containing more than 120 items is representative enough and the interested reader should be able to find them among these. (Ivailo Mladenov, Zentralblatt MATH, Vol. 1100 (2), 2007)


From the reviews: This is a book about differential geometry and elasticity theory also published earlier as journal article. And, indeed it covers both subjects in a coextensive way that can not be found in any other book in the field. ... the list of references containing more than 120 items is representative enough and the interested reader should be able to find them among these. (Ivailo Mladenov, Zentralblatt MATH, Vol. 1100 (2), 2007)


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