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Mathematics Applied to Continuum Mechanics

Mathematics Applied to Continuum Mechanics

Part of Classics in Applied Mathematics

  • Date Published: July 2007
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898716207

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  • 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
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    Product details

    • Date Published: July 2007
    • format: Paperback
    • isbn: 9780898716207
    • length: 184 pages
    • dimensions: 230 x 153 x 32 mm
    • weight: 0.816kg
    • contains: 134 b/w illus. 1 table 296 exercises
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • 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.

  • 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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