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Название: The Shapes of Things: A Practical Guide to Differential Geometry and the Shape Derivative
Автор: Shawn W. Walker
Издательство: Society for Industrial and Applied Mathematics
Год: 2015
Формат: PDF
Страниц: 162
Размер: 10,99 МБ
Язык: English
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.