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A First Course in Continuum Mechanics

$48.00 ( ) USD

Part of Cambridge Texts in Applied Mathematics

  • Date Published: December 2008
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511451010

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About the Authors
  • 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.

    • Class-tested over 9 years at both Warwick and Stanford Universities
    • Includes full solutions to all odd-numbered exercises, with a complete solutions manual available for instructors on request
    • Lots of examples in the form of fully-worked exercises, demonstrating the points being made
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    Reviews & endorsements

    "Designed for advanced undergraduate and early graduate students in engineering and mathematics, this introductory text is rich with exercises, making it also suitable for self-study for readers with a basic knowledge of linear algebra, multivariate calculus, differential equations and physics. Gonzalez (mathematics, U. of Texas) and Stuart (mathematics, U. of Warwick) keep in mind fields in which the modeling and simulation of materials with significant coupling and thermal effects as they explain tensor algebra and tensor calculus, then give comprehensive coverage of continuum mass and force concepts, kinematics, balance laws, isothermal fluid and solid mechanics and thermal fluid and solid mechanics. Their bibliographical notes are likely to be very helpful to those studying outside the classroom, and they provide an index which should serve as a model for mathematical texts."
    Book News, Inc.

    "This book...covers its topics exhaustively and in great detail ... the detailed examples are also very useful for lecturers." - Axel Maas, Mathematical Reviews

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    Product details

    • Date Published: December 2008
    • format: Adobe eBook Reader
    • isbn: 9780511451010
    • contains: 176 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • 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.

  • Resources for

    A First Course in Continuum Mechanics

    Oscar Gonzalez, Andrew M. Stuart

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  • Instructors have used or reviewed this title for the following courses

    • Geomechanics
  • Authors

    Oscar Gonzalez, University of Texas, Austin
    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 M. Stuart, University of Warwick
    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.

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