Name: The Shapes of Things. A Practical Guide to Differential Geometry and the Shape Derivative (en Inglés)
SKU: 67507000
Price: 2055.13 MXN
Availability: InStock
Author: Shawn W. Walker
ISBN: 9781611973952

portada The Shapes of Things. A Practical Guide to Differential Geometry and the Shape Derivative (en Inglés)

The Shapes of Things. A Practical Guide to Differential Geometry and the Shape Derivative (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

Shawn W. Walker

Colección

Advances in Design and Control

Año

2015

Idioma

Inglés

N° páginas

163

Encuadernación

Tapa Blanda

Dimensiones

25.5x18x1.1 cm

ISBN13

9781611973952

The Shapes of Things. A Practical Guide to Differential Geometry and the Shape Derivative (en Inglés)

Shawn W. Walker (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Blanda

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Reseña del libro "The Shapes of Things. A Practical Guide to Differential Geometry and the Shape Derivative (en Inglés)"

Many things around us have properties that depend on their shape. 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 allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts.

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.