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Mathematical Foundations of Elasticity

Mathematical Foundations of Elasticity
 

Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

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Quick Reference

ISBN 9780486142272
Barcode 9780486142272
Published 27 September 2012 by Dover Publications Inc.
Available in EPUB format
Software Read in Browser or Adobe Ebook Compatible Device
Language en
Author(s) By Marsden, University Jerrold E.
By Hughes, Thomas J. R.
Series Dover Civil and Mechanical Engineering
Availability Wheelers ePlatform

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Full details for this title

ISBN-13 9780486142272
ISBN-10 0486142272
Stock Available
Status Wheelers ePlatform
Publisher Dover Publications Inc.
Imprint Dover Publications
Publication Date 27 September 2012
International Publication Date 25 October 2012
Publication Country United States United States
Format EPUB ebook – Revised ed.
Edition Revised ed.
Author(s) By Marsden, University Jerrold E.
By Hughes, Thomas J. R.
Series Dover Civil and Mechanical Engineering
Category Mathematics
Mathematics For Scientists & Engineers
Science: General Issues
Classical Mechanics (Physics)
Technology, Engineering & Agriculture
Mechanics Of Solids (Engineering / Materials)
Plasticity Of Materials
Civil Engineering, Surveying & Building
Number of Pages 1190
Dimensions Not specified
Weight Not specified - defaults to 0g
Interest Age General Audience
Reading Age General Audience
NBS Text Physics
ONIX Text General/trade
Dewey Code 531.3820151
Catalogue Code 856999

Description of this Electronic Book

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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Author's Bio

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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