Mathematics Applied to Continuum Mechanics

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

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.