Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering) [Paperback]

Jerrold E. Marsden (Author), Thomas J. R. Hughes (Author)

Book Description

Publication Date: February 18, 1994 | Series: Dover Civil and Mechanical Engineering

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.

Product Details

• Paperback: 556 pages
• Publisher: Dover Publications (February 18, 1994)
• Language: English
• ISBN-10: 0486678652
• ISBN-13: 978-0486678658
• Product Dimensions: 9.2 x 6.1 x 1.1 inches
• Shipping Weight: 1.3 pounds (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars  See all reviews (3 customer reviews)
• Amazon Best Sellers Rank: #453,004 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

19 of 19 people found the following review helpful:

4.0 out of 5 stars An advanced level book heavy on mathematics, January 3, 2001

By 

V.A. Jonkers (Tilburg, Noord-Brabant Netherlands) - See all my reviews

This review is from: Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering) (Paperback)

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 liked the "exotic" topics like relativistic elasticity and bifurcation theory of beams and plates. This book is very different compared to the books I used to read on elasticity but I still enjoy it.

15 of 15 people found the following review helpful:

5.0 out of 5 stars 5 stars, but only for advanced level, October 22, 2002

By 

Gang Wang "laphier2" (Berkeley, CA United States) - See all my reviews
(REAL NAME)   

This review is from: Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering) (Paperback)

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 settings, this is the right one.
As it is said, knowing elasticity, finite deformation theory, nonelasticity is still not enough to open this book. All you need to know is a lot of differential geometry and tensor calculus. This book also try to build up these notions. Good concurrent books to help you understand are "tensor calculus on manifold" by Bishop et. al, and "the geometry of physics" by Frankel.
Overall, this is a book very hard to penetrate, and only intended for the advanced level. You won't expect to learn any elasticity from this book if you are new to elasticity. I recommend you to return back to this classic when you think you are ready, you will find a whole new world.

7 of 21 people found the following review helpful:

3.0 out of 5 stars Turning simple problem into nightmare., August 23, 2001

By 

John Williams "Will" (Manchester, England) - See all my reviews

This review is from: Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering) (Paperback)

Turning simple problem into nightmare. How difficult can an elasticity problem be in engineering? But these guys just have a way to make 1+1=2 looks like the most mysterious problem mankind has ever come across. No wonder everyone hates engineering and physics nowadays.