Pub. Date:
Cambridge University Press
A First Course in Continuum Mechanics

A First Course in Continuum Mechanics

by Oscar Gonzalez, Andrew M. Stuart


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A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly class-tested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic linear algebra and differential equations. Unlike most existing works at this level, this book covers both isothermal and thermal theories. The theories are derived in a unified manner from the fundamental balance laws of continuum mechanics. Intended both for classroom use and for self-study, each chapter contains a wealth of exercises, with fully worked solutions to odd-numbered questions. A complete solutions manual is available to instructors upon request. Short bibliographies appear at the end of each chapter, pointing to material which underpins or expands upon the material discussed.

Product Details

ISBN-13: 9780521714242
Publisher: Cambridge University Press
Publication date: 02/01/2008
Series: Cambridge Texts in Applied Mathematics Series , #42
Edition description: New Edition
Pages: 416
Product dimensions: 5.90(w) x 8.80(h) x 0.80(d)

About the Author

Oscar Gonzalez is an Associate Professor of Mathematics at the University of Texas. His research interests cover computational and applied mathematical problems related to the large-scale deformations of thin rods and ribbons, and more general three-dimensional bodies. He has contributed articles to numerous journals across mathematics, engineering and chemistry. His current research efforts are directed toward understanding the mechanical properties of DNA at various length scales.

Andrew Stuart is Professor of Mathematics at the University of Warwick. His general research interests cover computational stochastic processes and dynamical systems and his current research efforts are directed mainly towards problems at the interface of applied mathematics and statistics. He has contributed articles to numerous journals across mathematics, engineering and physics and is the recipient of six prizes for his work in Applied Mathematics.

Table of Contents

Preface; 1. Tensor algebra; 2. Tensor calculus; 3. Continuum mass and force concepts; 4. Kinematics; 5. Balance laws; 6. Isothermal fluid mechanics; 7. Isothermal solid mechanics; 8. Thermal fluid mechanics; 9. Thermal solid mechanics; Answers to selected problems; Bibliography; Index.

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First Course in Continuum Mechanics 5 out of 5 based on 0 ratings. 1 reviews.
Guest More than 1 year ago
This book taught me continuum mechanics. I had tried many books before it, and none of them had the patience and clarity to present tensors calculus in a way I could understand. Other books are either undergraduate texts that barely reached tensors, or were more advanced books that slapped down the preliminaries and moved on. This book works hard to use a consistent notation and is very careful with its use of index notation. The problems were probably the most useful tool in learning tensor calculus, which made it possible to understand the continuum mechanics which followed. I know it's not out yet as I write this--I took a class that used a late draft of this book for its text. And I can't wait to buy a copy!