Mathematics Applied to Continuum Mechanics
$104.00 (P)
Part of Classics in Applied Mathematics
- Authors:
- Lee Segel, Weizmann Institute
- G. H. Handelman, Rensselaer Polytechnic Institute
- 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
$
104.00
(P)
Paperback
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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.
Read more- 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.
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