Category: Technology & Engineering|
The author of the book: Jerrold E. Marsden
Format files: PDF, EPUB, TXT, DOCX
The size of the: 335 KB
Edition: Dover Publications Inc.
Date of issue: 1 April 1994
Description of the book "Mathematical Foundations of Elasticity":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 вЂ• developed as needed вЂ• 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 PDF in elasticity, and bifurcation theory. Carefully selected problems are interspersed throughout, while a large bibliography rounds out the text.
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