Mathematics Applied to Continuum Mechanics
Mathematics Applied to Continuum Mechanics
No date available
Paperback
9780898716207
Paperback
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
No date availablePaperback
9780898716207
184 pages
230 × 153 × 32 mm
0.816kg
134 b/w illus. 1 table 296 exercises
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.
