Mathematical Foundations of Elasticity

Nonfiction, Science & Nature, Technology, Engineering, Civil
Cover of the book Mathematical Foundations of Elasticity by Thomas J. R. Hughes, Jerrold E. Marsden, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Thomas J. R. Hughes, Jerrold E. Marsden ISBN: 9780486142272
Publisher: Dover Publications Publication: October 25, 2012
Imprint: Dover Publications Language: English
Author: Thomas J. R. Hughes, Jerrold E. Marsden
ISBN: 9780486142272
Publisher: Dover Publications
Publication: October 25, 2012
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book How to Make Super Pop-Ups by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book Franklin's Way to Wealth and Penn's Maxims by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book Easy-to-Master Mental Magic by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book 1000 Turn-of-the-Century Houses by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book The Fitzwilliam Virginal Book, Volume Two by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book Peter Rabbit and Eleven Other Favorite Tales by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book Dynamics by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book Lie Algebras by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book Methods of Mathematics Applied to Calculus, Probability, and Statistics by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book Buffalo Bill's Life Story by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book Oedipus at Colonus by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book Permutation Groups by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book The Pickwick Papers by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book The Fascination of Birds by Thomas J. R. Hughes, Jerrold E. Marsden
Cover of the book D. H. Lawrence The Dover Reader by Thomas J. R. Hughes, Jerrold E. Marsden
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy