Skip to content
Register Sign in Wishlist

A First Course in Continuum Mechanics

$63.99 (P)

Part of Cambridge Texts in Applied Mathematics

  • Date Published: February 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521714242

$ 63.99 (P)

Add to cart Add to wishlist

Other available formats:

Request examination copy

Instructors may request a copy of this title for examination

Product filter button
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
    Read more

    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

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: February 2008
    • format: Paperback
    • isbn: 9780521714242
    • length: 414 pages
    • dimensions: 229 x 152 x 23 mm
    • weight: 0.61kg
    • contains: 176 exercises
    • availability: Available
  • Table of Contents

    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

  • Resources for

    A First Course in Continuum Mechanics

    Oscar Gonzalez, Andrew M. Stuart

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to instructors whose faculty status has been verified. To gain access to locked resources, instructors should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other instructors may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Instructors are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact

  • 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.

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.