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

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9780898719369: Shapes and Geometries: Metrics, Analysis, Differential Calculus, and Optimization (Advances in Design and Control)
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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.

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Book Description:

This fully revised 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 structure of a geometric object. A book of great importance to applied mathematicians, engineers and scientists in this area.

About the Author:

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.

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Book Description Society for Industrial & Applied Mathematics,U.S., United States, 2011. Hardback. Condition: New. 2nd Revised edition. Language: English. Brand new Book. 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. Seller Inventory # AAN9780898719369

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Michael C. Delfour, Jean-Paul Zolesio
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Book Description Society for Industrial & Applied Mathematics,U.S., United States, 2011. Hardback. Condition: New. 2nd Revised edition. Language: English. Brand new Book. 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. Seller Inventory # AAN9780898719369

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