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Mathematical Foundations of Elasticity (Revised)

Mathematical Foundations of Elasticity (Revised)

No customer reviews yet ISBN 9780486678658 Dover Publications

This advanced-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Prerequisites include a solid background in advanced calculus and the basics of geometry and functional analysis.
The first two chapters cover the background geometry ― developed as needed ― and use this discussion to obtain the basic results on kinematics and dynamics of continuous media. Subsequent chapters deal with elastic materials, linearization, variational principles, the use of functional analysis in elasticity, and bifurcation theory. Carefully selected problems are interspersed throughout, while a large bibliography rounds out the text.

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BrandDover Publications
Pub dateFeb 18, 1994
ISBN-100486678652
ISBN-139780486678658
Paperback576.0 pages
LanguageEnglish
Dimensions9.19 × 1.09 × 6.14 in
Weight2 lb
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