Mathematical Foundations of Elasticity
Language: English
Published by Dover Publications Inc., 2003
Series: Book 29 of 53 - Dover Civil and Mechanical Engineering
- Softcover
- Used
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.World of Books (was SecondSale)
AbeBooks seller since December 20, 2007
Condition: Used - Good
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Add to basketItem description from seller
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.
Seller Inventory # 00103917015
- Title
- Mathematical Foundations of Elasticity
- Author
- Jerrold E Marsden
- Publisher
- Dover Publications Inc.
- Publication year
- 2003
- Condition
- Good
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0486678652
- ISBN 13
- 9780486678658
- Series
- Book 29 of 53: Dover Civil and Mechanical Engineering
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.
"Synopsis" may belong to another edition of this title.
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.
"About the title" may belong to another edition of this title.
World of Books (was SecondSale)
Montgomery, IL, U.S.A.
AbeBooks seller since December 20, 2007
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