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The shapes of things: a practical guide to differential geometry and the shape derivative

The shapes of things: a practical guide to differential geometry and the shape derivative
Catalogue Information
Field name Details
Dewey Class 516.36 (DDC 23)
Title The shapes of things : a practical guide to differential geometry and the shape derivative (M) / Shawn W. Walker
Author Walker, Shawn W.
Publication Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics , 2015
Physical Details ix, 154 pages : illustrations (some color) ; 26 cm.
Series Advances in design and control
ISBN 9781611973952
Summary Note 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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Catalogue Information 31424 Beginning of record . Catalogue Information 31424 Top of page .
Item Information
Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000043672 514.7 WAL
General   SISSA . . Available .  
. Catalogue Record 31424 ItemInfo Beginning of record . Catalogue Record 31424 ItemInfo Top of page .

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