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 EditionPrefaceContentsConventionsPart A: Geometrical Prerequisites for Three-Dimensional Continuum MechanicsChapter 1: Vectors, Determinants, and Motivation for TensorsChapter 2: Cartesian TensorsPart B: Problems in Continuum MechanicsChapter 3: Viscous FluidsChapter 4: Foundations of ElasticityChapter 5: Some Examples of Static Problems in ElasticityChapter 6: Introduction to Dynamic Problems in ElasticityPart C: Water WavesChapter 7: Formulation of the Theory of Surface Waves in an Inviscid FluidChapter 8: Solution in the Linear TheoryChapter 9: Group Speed and Group VelocityChapter 10: Nonlinear EffectsPart D: Variational Methods and Extremum PrinciplesChapter 11: Calculus of VariationsChapter 12: Characterization of Eigenvalues and Equilibrium States as ExtremaBibliographyHints and AnswersIndex.