This modern classic analyzes continuum models of fluid flow and solid deformation, examining problems in continuum mechanics, water waves, extremum principles and much more. For upper-level undergraduate and graduate students in the fields of applied mathematics, science and engineering.
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Book Description
Editorial Reviews
Book Description
This classic work gives an excellent overview of the subject, with an emphasis on clarity, explanation, and motivation. Extensive exercises and a valuable section containing hints and answers make this an excellent text for both classroom use and independent study.
--This text refers to an alternate
Paperback
edition.
About the Author
Lee A. Segel (1932-2005) was the Henry and Bertha Benson Professor of Mathematics at the Weizmann Institute of Science. He also served as Head of the Department of Applied Mathematics, Dean of the Faculty of Mathematical Sciences, and Chairman of the Scientific Council. Professor Segel taught at institutions throughout the United States, most recently at the Santa Fe Institute.
G. H. Handelman is the Amos Eaton Professor Emeritus in the Department of Mathematical Sciences at Rensselaer Polytechnic Institute. --This text refers to an alternate Paperback edition.
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Most Helpful Customer Reviews
4 of 5 people found the following review helpful:
3.0 out of 5 stars
Good for the price, but often confusing wrt notation,
By Chengiz (NY) - See all my reviews
This review is from: Mathematics Applied to Continuum Mechanics (Paperback)
Dover publications is famous for low price academic books, and this one is no exception. It retails for around $14, so beware of marketplace sellers charging more. The book is good value for the money and goes into great detail about the mathematics. There are also lots of examples (and some but only some even have hints). If I were to *really* factor price into my rating, I'd give it one star more.
The two areas where this book could have been better is (1) It does not explain the physical significance of the things it discusses: this is nitpicking at best coz the book is clearly slanted towards mathematics, not physics. (2) The notation is confusing. This is perhaps the only book in the world which uses U for Airy stress function. In other places, U is displacement, so we are not even consistent. I dislike authors changing notation on us, especially when there's not even a list of symbols page. They assume the book is being read from start to finish, which for an academic book is a lousy assumption to make. I will point out that I have read this book very selectively: mostly the first 4 chapters (intro, tensors, cfd, elasticity) and part of the variational methods section (which is clearly inferior to Gelfand and Fomin). The section on waves might be stellar but I havent read it at all.
1 of 1 people found the following review helpful:
5.0 out of 5 stars
Covers almost everything, my go-to reference,
By J.C. "geophys_student" (Seattle, WA USA) - See all my reviews
This review is from: Mathematics Applied to Continuum Mechanics (Paperback)
This is my favorite text for continuum mechanics.
It contains derivations not usually covered, and spends a lot of time educating the reader on the tensor notation. As a plus, it contains a supplement on functional analysis applications, which I still consult above some other texts on the subject. I have almost no complaints about this text. I cannot suggest it enough.
0 of 9 people found the following review helpful:
4.0 out of 5 stars
Classic,
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This review is from: Mathematics Applied to Continuum Mechanics (Paperback)
It's a classic, according to a professor/acquaintance at the University of Washington. Plus, it looks great on my bookshelf. Classy. Smart.
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Inside This Book
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First Sentence:
Tensors have both computational and conceptual value. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
adherence boundary condition, rectangular bump, maximum shearing strain, nth order tensor, generalized plane stress, torsion problem, connected cross section, group speed, terminal couples, surface deflection, dynamic boundary condition, vorticity changes, warping function, trial elements, brachistochrone problem, contraction product, shear speed, static elasticity, continuous second partial derivatives, primed coordinate system, inviscid theory, isotropic tensor, rotary inertia, second order tensor, boundary layer equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Formulation of the Theory, Fluid Mech, Some Examples of Static Problems, Cambridge University Press, Foundations of Elasticity, Surface Wares, Inriscid Fluid, Some Plane Problems, Navier Stokes, Van Dorn, Academic Press, Repeat Exercise New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Tensors have both computational and conceptual value. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
adherence boundary condition, rectangular bump, maximum shearing strain, nth order tensor, generalized plane stress, torsion problem, connected cross section, group speed, terminal couples, surface deflection, dynamic boundary condition, vorticity changes, warping function, trial elements, brachistochrone problem, contraction product, shear speed, static elasticity, continuous second partial derivatives, primed coordinate system, inviscid theory, isotropic tensor, rotary inertia, second order tensor, boundary layer equations Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Formulation of the Theory, Fluid Mech, Some Examples of Static Problems, Cambridge University Press, Foundations of Elasticity, Surface Wares, Inriscid Fluid, Some Plane Problems, Navier Stokes, Van Dorn, Academic Press, Repeat Exercise New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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