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Mathematical Foundations of Elasticity
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Mathematical Foundations of Elasticity Paperback - 1994

by Jerrold E. Marsden; Thomas J. Hughes


From the publisher

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.

Details

  • Title Mathematical Foundations of Elasticity
  • Author Jerrold E. Marsden; Thomas J. Hughes
  • Binding Paperback
  • Edition Reprint
  • Pages 576
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, this book in Stock: we Ship at Once
  • Date 1994-02
  • Features Bibliography, Glossary
  • ISBN 9780486678658 / 0486678652
  • Weight 1.58 lbs (0.72 kg)
  • Dimensions 9.19 x 6.14 x 1.09 in (23.34 x 15.60 x 2.77 cm)
  • Library of Congress subjects Elasticity
  • Library of Congress Catalog Number 93042631
  • Dewey Decimal Code 531.382

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.
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Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering)

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Mathematical Foundations of Elasticity

by Jerrold E. Marsden; Thomas J. R. Hughes

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