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Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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The Geometrical Language of Continuum Mechanics (Hardcover)
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The Geometrical Language of Continuum Mechanics (Hardcover)
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Total price: R2,426
Discovery Miles: 24 260
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Epstein presents the fundamental concepts of modern differential
geometry within the framework of continuum mechanics. 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 materialisation 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 terms of their
mechanical interpretations. The third part includes the theory of
fiber bundles, G-structures, and groupoids, which are applicable to
bodies with internal structure and to the description of material
inhomogeneity. The abstract notions of differential geometry are
thus illuminated by practical and intuitively meaningful
engineering applications.
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