Mathematics Applied to Continuum Mechanics
by Segel, Lee A.; Handelman, G. H.Edition: Reprint
Format: Paperback
Pub. Date: 2007-01-04
Publisher(s): Society for Industrial & Applied
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Summary
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.
Author Biography
Lee A. Segel (1932รป2005) 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 is the Amos Eaton Professor Emeritus in the Department of Mathematical Sciences at Rensselaer Polytechnic Institute.
Table of Contents
| Foreword to the Classics Edition; Preface; Conventions | |
| Geometrical Prerequisites for Three-Dimensional Continuum Mechanics: | |
| Vectors, determinants, and motivation for tensors | |
| Cartesian tensors | |
| Problems in Continuum Mechanics: | |
| Viscous fluids | |
| Foundations in elasticity | |
| Some examples of static oroblems in elasticity | |
| Introduction to dynamic problems in elasticity | |
| Water Waves: | |
| Formulation of the theory of surface waves in an inviscid fluid | |
| Solution in the linear theory | |
| Group speed and group velocity | |
| Nonlinear effects | |
| Variational Methods and Extremum Principles: | |
| Calculus of variations | |
| Characterization of Eigenvalues and equilibrium states as extrema | |
| Bibliography | |
| Hints and answers | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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