Shapes and Geometries - Metrics, Analysis, Differential Calculus, and Optimization (Hardcover, 2nd Revised edition)

This considerably enriched new edition provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is the shape or the structure of a geometric object. Shapes and Geometries presents the latest ground-breaking theoretical foundation to shape optimization in a form that can be used by the engineering and scientific communities. It also clearly explains the state-of-the-art developments in a mathematical language that will attract mathematicians to open questions in this important field. A series of generic examples has been added to the introduction and special emphasis has been put on the construction of important metrics. Advanced engineers in various application areas use basic ideas of shape optimization, but often encounter difficulties due to the sophisticated mathematical foundations for the field. This new version of the book challenges these difficulties by showing how the mathematics community has made extraordinary progress in establishing a rational foundation for shape optimization. This area of research is very broad, rich, and fascinating from both theoretical and numerical standpoints. It is applicable in many different areas such as fluid mechanics, elasticity theory, modern theories of optimal design, free and moving boundary problems, shape and geometric identification, image processing, and design of endoprotheses in interventional cardiology.

General

Imprint:	Society For Industrial & Applied Mathematics,U.S.
Country of origin:	United States
Series:	Advances in Design and Control, 22
Release date:	December 2010
First published:	2011
Authors:	Michael C. Delfour • Jean-Paul Zolesio
Dimensions:	229 x 152 x 32mm (L x W x T)
Format:	Hardcover
Pages:	645
Edition:	2nd Revised edition
ISBN-13:	978-0-89871-936-9
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis
LSN:	0-89871-936-4
Barcode:	9780898719369

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