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Mathematical Foundations of Elasticity Revised Edition
Contributor(s): Marsden, Jerrold E. (Author), Hughes, Thomas J. R. (Author)
ISBN: 0486678652     ISBN-13: 9780486678658
Publisher: Dover Publications
OUR PRICE:   $25.16  
Product Type: Paperback - Other Formats
Published: February 1994
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Annotation: This graduate-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. Relevant problems appear throughout the text. 1983 edition.
Additional Information
BISAC Categories:
- Science | Mechanics - General
- Mathematics
- Technology & Engineering | Civil - General
Dewey: 531.382
LCCN: 93042631
Series: Dover Civil and Mechanical Engineering
Physical Information: 1.09" H x 6.14" W x 9.19" (1.58 lbs) 576 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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.