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The Shapes of Things - A Practical Guide to Differential Geometry and the Shape Derivative (Paperback)
Loot Price: R2,338
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The Shapes of Things - A Practical Guide to Differential Geometry and the Shape Derivative (Paperback)
Series: Advances in Design and Control, 28
Expected to ship within 12 - 17 working days
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Many things around us have properties that depend on their shape -
for example, the drag characteristics of a rigid body in a flow.
This self-contained overview of differential geometry explains how
to differentiate a function (in the calculus sense) with respect to
a "shape variable". This approach, which is useful for
understanding mathematical models containing geometric partial
differential equations (PDEs), allows readers to obtain formulas
for geometric quantities (such as curvature) that are clearer than
those usually offered in differential geometry texts. Readers will
learn how to compute sensitivities with respect to geometry by
developing basic calculus tools on surfaces and combining them with
the calculus of variations. Several applications that utilize shape
derivatives and many illustrations that help build intuition are
included.
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