{"product_id":"shapes-and-geometries-metrics-analysis-differential-calculus-and-optimization-metrics-analysis-differential-calculus-and-optimization-hardback-9780898719369","title":"Shapes and Geometries – Metrics, Analysis, Differential Calculus, and Optimization; Metrics, Analysis, Differential Calculus, and Optimization (Hardback) 9780898719369","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eShapes and Geometries – Metrics, Analysis, Differential Calculus, and Optimization\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eMetrics, Analysis, Differential Calculus, and Optimization\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003ePresents the latest groundbreaking theoretical foundation to shape optimization in a form accessible to mathematicians, scientists and engineers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eM. Delfour (Author), J.–p. Zolésio (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898719369\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 30 December 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e645 pages\u003cbr\u003e25.9 x 18.2 x 3.3 cm, 1.283 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eA 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eList of figures\u003cbr\u003e Preface\u003cbr\u003e 1. Introduction: examples, background, and perspectives\u003cbr\u003e 2. Classical descriptions of geometries and their properties\u003cbr\u003e 3. Courant metrics on images of a set\u003cbr\u003e 4. Transformations generated by velocities\u003cbr\u003e 5. Metrics via characteristic functions\u003cbr\u003e 6. Metrics via distance functions\u003cbr\u003e 7. Metrics via oriented distance functions\u003cbr\u003e 8. Shape continuity and optimization\u003cbr\u003e 9. Shape and tangential differential calculuses\u003cbr\u003e 10. Shape gradients under a state equation constraint\u003cbr\u003e Elements of bibliography\u003cbr\u003e Index of notation\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52410752106776,"sku":"9780898719369","price":93.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898719369i.jpg?v=1784251744","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/shapes-and-geometries-metrics-analysis-differential-calculus-and-optimization-metrics-analysis-differential-calculus-and-optimization-hardback-9780898719369","provider":"Freshly Printed Books","version":"1.0","type":"link"}