Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering)

Jerrold E. Marsden, Thomas J. R. Hughes

ISBN 10: 0486678652 / ISBN 13: 9780486678658

Published by Dover Publications, 1994

About this Item

576 pp., paperback, very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

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Bibliographic Details

• Title: Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering)
• Publisher: Dover Publications
• Publication Date: 1994
• Language: English
• ISBN 10: 0486678652
• ISBN 13: 9780486678658
• Binding: Soft cover
• Condition: Very Good

About this title

Synopsis

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.

About the Author

Jerrold E. Marsden is Professor of Mathematics, University of California, Berkeley. Thomas J. R. Hughes is Professor of Mechanical Engineering, Stanford University.