Shapes Of Things
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The Shapes of Things
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.
The Shape of Things
Rhymes and colorful illustrations reveal how simple shapes come together to form houses, boats, and lots of other things in the world
Shape of Things
This book presents for the first time in English an array of essays on design by the seminal media critic and philosopher Vilém Flusser. It puts forward the view that our future depends on design. In a series of insightful essays on such ordinary "things" as wheels, carpets, pots, umbrellas and tents, Flusser emphasizes the interrelationships between art and science, theology and technology, and archaeology and architecture. Just as formal creativity has produced both weapons of destruction and great works of art, Flusser believed that the shape of things (and the designs behind them) represents both a threat and an opportunity for designers of the future.