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The Shape of Things: A Practical Guide to Differential Geometry and the Shape Derivative (Advances in Design and Control, Series Number 28) - Tapa blanda

Walker, Shawn W.

 
9781611973952: The Shape of Things: A Practical Guide to Differential Geometry and the Shape Derivative (Advances in Design and Control, Series Number 28)
Tapa blanda
ISBN 10: 1611973953 ISBN 13: 9781611973952
Editorial: Society for Industrial and Applied Mathematics, 2015

Sinopsis

Many things have properties that depend on their shape, such as the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function with respect to a 'shape variable'. This approach, useful for understanding mathematical models containing geometric 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 geometric sensitivities by developing basic calculus on surfaces alongside calculus of variations, aided by plenty of applications and illustrations. This book, a convenient reference for various shape derivative formulas, will be valuable to anyone interested in surface geometry and shape optimization. Graduate students can use it to quickly get acquainted with shape differentiation while scientists will find the book helpful for problems where surface geometry is critical or geometry evolves in time.

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Acerca del autor

Shawn Walker is an assistant professor of mathematics at Louisiana State University (LSU), with a joint appointment in the Center for Computation and Technology (CCT). He held a postdoctoral position at the Courant Institute (New York University) and joined the LSU faculty in 2010 in the computational mathematics group. He is a member of SIAM, AMS, MRS, and APS. His research interests include PDEs for fluids and moving/free boundaries, geometric evolution problems, numerical analysis and finite element methods, mesh generation, and optimal PDE control of shape.

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Editorial
Society for Industrial and Applied Mathematics
Año de publicación
2015
Idioma
Inglés
ISBN 10 
1611973953
ISBN 13 
9781611973952
Encuadernación
Tapa blanda
Número de páginas
162
Contacto del fabricante
no disponible
Persona responsable
no disponible