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Mathematics Applied to Continuum Mechanics

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Mathematics Applied to Continuum Mechanics

Mathematics Applied to Continuum Mechanics

Lee Segel, Weizmann Institute
G. H. Handelman, Rensselaer Polytechnic Institute
July 2007
This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Paperback
9780898716207
£69.00
GBP
Paperback
    Description

    This book focuses on the fundamental ideas of continuum mechanics by analyzing models of fluid flow and solid deformation and examining problems in elasticity, water waves, and extremum principles. Mathematics Applied to Continuum Mechanics 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 both for classroom use with upper-division students, and independent study, in the fields of applied mathematics, science and engineering.

    • Classic text has been updated with additional material on elasticity
    • Hundreds of exercises, many with hints for solution
    • Explains the science, emphasising clarity, understanding and motivation over rigor and algebraic manipulation

    Product details

    July 2007
    Paperback
    9780898716207
    184 pages
    230 × 153 × 32 mm
    0.816kg
    134 b/w illus. 1 table 296 exercises
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

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    Contents

    Table of Contents

    • Foreword to the Classics Edition
    • Preface
    • Conventions
    • Part I. Geometrical Prerequisites for Three-Dimensional Continuum Mechanics:
    • 1. Vectors, determinants, and motivation for tensors
    • 2. Cartesian tensors
    • Part II. Problems in Continuum Mechanics:
    • 3. Viscous fluids
    • 4. Foundations in elasticity
    • 5. Some examples of static oroblems in elasticity
    • 6. Introduction to dynamic problems in elasticity
    • Part III. Water Waves:
    • 7. Formulation of the theory of surface waves in an inviscid fluid
    • 8. Solution in the linear theory
    • 9. Group speed and group velocity
    • 10. Nonlinear effects
    • Part IV. Variational Methods and Extremum Principles:
    • 11. Calculus of variations
    • 12. Characterization of Eigenvalues and equilibrium states as extrema
    • Bibliography
    • Hints and answers
    • Index.
      • Show more
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    Additional Information
    About the authors
      Authors
    • Lee Segel , Weizmann Institute

      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 , Rensselaer Polytechnic Institute

      G. H. Handelman is the Amos Eaton Professor Emeritus in the Department of Mathematical Sciences at Rensselaer Polytechnic Institute.

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