Mathematical Foundations of Elasticity (Prentice-Hall civil engineering and engineering mechanics series)
| Author | : | |
| Rating | : | 4.82 (884 Votes) |
| Asin | : | 0135610761 |
| Format Type | : | paperback |
| Number of Pages | : | 556 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
Carefully selected problems are interspersed throughout, while a large bibliography rounds out the text.. 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. This advanced-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. 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
Hughes is Professor of Mechanical Engineering, Stanford University.. Marsden is Professor of Mathematics, University of California, Berkeley. R. Thomas J. Jerrold E
Gang Wang said 5 stars, but only for advanced level. Sb. said this book turns 1+1="5 stars, but only for advanced level" according to Gang Wang. Sb. said this book turns 1+1=2 into a nightmare, however I can't agree.First, this book is not written for engineers. For engineers, there are a dozen of good elasticity books, eg. the classics Fung's "Foundation of solid mechanics". This is not the right book for engineers.This book deals elasticity within the context of manifold. For these of you who really want to know what a tensor really is, what the real meaning of these 1+1=2, for example C=F'F, in the general setting. into a nightmare, however I can't agree.First, this book is not written for engineers. For engineers, there are a dozen of good elasticity books, eg. the classics Fung's "Foundation of solid mechanics". This is not the right book for engineers.This book deals elasticity within the context of manifold. For these of you who really want to know what a tensor really is, what the real meaning of these 1+1="5 stars, but only for advanced level" according to Gang Wang. Sb. said this book turns 1+1=2 into a nightmare, however I can't agree.First, this book is not written for engineers. For engineers, there are a dozen of good elasticity books, eg. the classics Fung's "Foundation of solid mechanics". This is not the right book for engineers.This book deals elasticity within the context of manifold. For these of you who really want to know what a tensor really is, what the real meaning of these 1+1=2, for example C=F'F, in the general setting. , for example C=F'F, in the general setting. "An advanced level book heavy on mathematics" according to V.A. Jonkers. Though I'm a engineer in practice I bought this book out of personal interest to further my knowlegde. When I first opened the book I was a taken aback by the amount of mathematics used. Having a good knowledge of the classical theory of elasticity and some non-linear theory is simply not enough to begin with this book. Know your mathemactics! (differential geometry,etc.) Appart form the starting difficulies the book has very much to offer and is well written. I especially l. Excelent. Excelent. Provides the link between elasticity and mathematical ideas in a very nice way. Very good. Requires a good background.
Thomas J. R. About the AuthorJerrold E. Hughes is Professor of Mechanical Engineering, Stanford University.. Marsden is Professor of Mathematics, University of California, Berkeley