Hamilton’s principle in continuum mechanics This revised updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons it first discusses the application of the principle to systems of particles including conservative and non conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described including materials with microstructure mixtures and continua with singular surfaces. Presents a comprehensive rigorous description of the application of Hamilton’s principle to continuous media; Includes recent applications of the principle to continua with microstructure mixtures and media with surfaces of discontinuity; Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces. Mechanics of Systems of Particles Mathematical Preliminaries Mechanics of Continuous Media Motions and Comparison Motions of a Mixture Singular Surfaces Index.