Shapes and Geometries: Metrics, Analysis, Differential Calculus, and Optimization (Advances in Design and Control)

Delfour, Michael C., Zolésio, Jean-Paul

ISBN 10: 0898719364 / ISBN 13: 9780898719369

Published by Society for Industrial and Applied Mathematics, 2011

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Bibliographic Details

• Title: Shapes and Geometries: Metrics, Analysis, Differential Calculus, and Optimization (Advances in Design and Control)
• Publisher: Society for Industrial and Applied Mathematics
• Publication Date: 2011
• Language: English
• ISBN 10: 0898719364
• ISBN 13: 9780898719369
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: New
• Book Type: book

About this title

Synopsis

A self-contained presentation of the mathematical foundations, constructions and tools necessary for studying problems where the modeling, optimization or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object. This second edition presents the latest ground breaking theoretical foundation to shape optimization in a form that can 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. The area of research is very broad, rich and fascinating from both theoretical and numerical standpoints and this book reflects this exciting expanding field. This book will be of great importance to applied mathematicians, as well as advanced engineers and scientists working in this area.

About the Authors

M. C. Delfour is a Professor of Mathematics and Statistics at the University of Montreal in Canada, a member of the Canadian Academy of Sciences (FRSC), a former Guggenheim and Killam Fellow and a SIAM Fellow.

J.-P. Zolésio is Research Director in Mathematics at the CNRS. He is member of the Institut Non Linéaire de Nice (INLN) associated with the Institut National de Recherche en Informatique et Automatique (INRIA) In Sophia Antipolis (France).