Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering) - Softcover

Book 29 of 53: Dover Civil and Mechanical Engineering

Jerrold E. Marsden; Thomas J. R. Hughes

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9780486678658: Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering)
Softcover
ISBN 10: 0486678652 ISBN 13: 9780486678658
Publisher: Dover Publications, 1994

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.

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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 this title" may belong to another edition of this title.

Publisher
Dover Publications
Publication date
1994
Language
English
ISBN 10 
0486678652
ISBN 13 
9780486678658
Binding
Paperback
Number of pages
576
Rating
  • 4.40 out of 5 stars
    15 ratings by Goodreads

Other Popular Editions of the Same Title

9780135610763: Mathematical Foundations of Elasticity

Featured Edition

ISBN 10:  0135610761 ISBN 13:  9780135610763
Publisher: Prentice Hall, 1982
Hardcover