Geometrical Language of Continuum Mechanics
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This book presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. It is divided into three parts of roughly equal length. The book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialization of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in…
Copyright year: 2014
Publisher: University of Cambridge ESOL Examinations
Publication date: 1/2/2014
Size: 7.00" wide x 10.00" long x 0.75" tall