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Differential Geometry - Basic Notions and Physical Examples (Paperback, Softcover reprint of the original 1st ed. 2014)
Loot Price: R3,881
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Differential Geometry - Basic Notions and Physical Examples (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Mathematical Engineering
Expected to ship within 10 - 15 working days
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Differential Geometry offers a concise introduction to some basic
notions of modern differential geometry and their applications to
solid mechanics and physics. Concepts such as manifolds, groups,
fibre bundles and groupoids are first introduced within a purely
topological framework. They are shown to be relevant to the
description of space-time, configuration spaces of mechanical
systems, symmetries in general, microstructure and local and
distant symmetries of the constitutive response of continuous
media. Once these ideas have been grasped at the topological level,
the differential structure needed for the description of physical
fields is introduced in terms of differentiable manifolds and
principal frame bundles. These mathematical concepts are then
illustrated with examples from continuum kinematics, Lagrangian and
Hamiltonian mechanics, Cauchy fluxes and dislocation theory. This
book will be useful for researchers and graduate students in
science and engineering.
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