Category: Dynamics

Epstein provides the elemental techniques of recent differential geometry in the framework of continuum mechanics. Divided into 3 components of approximately equivalent size, the ebook opens with a motivational bankruptcy to provoke upon the reader that differential geometry is certainly the usual language of continuum mechanics or, greater nonetheless, that the latter is a first-rate instance of the applying and materialisation of the previous. within the moment half, the basic notions of differential geometry are offered with rigor utilizing a writing type that's as casual as attainable. Differentiable manifolds, tangent bundles, external derivatives, Lie derivatives, and Lie teams are illustrated when it comes to their mechanical interpretations. The 3rd half comprises the idea of fiber bundles, G-structures, and groupoids, that are acceptable to our bodies with inner constitution and to the outline of fabric inhomogeneity. The summary notions of differential geometry are therefore illuminated by way of sensible and intuitively significant engineering applications.

The paintings covers both theoretical and useful facets of thermal touch conductance. The theoretical discussion focuses on heat move via spots, joints, and surfaces, in addition to the position of interstitial fabrics (both deliberate and inadvertent). the sensible dialogue comprises formulae and knowledge that may be utilized in designing heat-transfer apparatus for numerous joints, together with detailed geometries and configurations. the entire fabric has been up-to-date to mirror the newest advances within the field.