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 Contents Conventions Part A: Geometrical Prerequisites for Three-Dimensional Continuum Mechanics Chapter 1: Vectors, Determinants, and Motivation for Tensors Chapter 2: Cartesian Tensors Part B: Problems in Continuum Mechanics Chapter 3: Viscous Fluids Chapter 4: Foundations of Elasticity Chapter 5: Some Examples of Static Problems in Elasticity Chapter 6: Introduction to Dynamic Problems in Elasticity Part C: Water Waves Chapter 7: Formulation of the Theory of Surface Waves in an Inviscid Fluid Chapter 8: Solution in the Linear Theory Chapter 9: Group Speed and Group Velocity Chapter 10: Nonlinear Effects Part D: Variational Methods and Extremum Principles Chapter 11: Calculus of Variations Chapter 12: Characterization of Eigenvalues and Equilibrium States as Extrema Bibliography Hints and Answers Index.