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Item Details
Title: SHAPES AND GEOMETRIES
METRICS, ANALYSIS, DIFFERENTIAL CALCULUS, AND OPTIMIZATION
By: Michael C. Delfour, Jean-Paul Zolesio
Format: Hardback

List price: £133.00


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ISBN 10: 0898719364
ISBN 13: 9780898719369
Publisher: SOCIETY FOR INDUSTRIAL & APPLIED MATHEMATICS,U.S.
Pub. date: 30 December, 2010
Edition: 2nd Revised edition
Series: Advances in Design and Control 22
Pages: 645
Description: 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.
Synopsis: 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.
Illustrations: Illustrations
Publication: US
Imprint: Society for Industrial & Applied Mathematics,U.S.
Returns: Returnable
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HIGH-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS IN SCIENCE AND ENGINEERING (PB)
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PARTIAL DIFFERENTIAL EQUATION METHODS IN CONTROL AND SHAPE ANALYSIS
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