Benutzerdefiniertes Cover
Shapes and geometries : metrics, analysis, differential calculus, and optimization / M. C. Delfour, J.-P. Zolésio
Mitwirkende(r): Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Advances in design and control ; 22Verlag: Philadelphia, Pa. : Society for Industrial and Applied Mathematics, 2011Auflage: 2. edBeschreibung: XVII, 622 SISBN:- 9780898719369
- 0898719364
- 514.24
- QA612.7
Inhalte:
Zusammenfassung: 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 objectPPN: PPN: 1651239835Package identifier: Produktsigel: ZDB-72-SIA
Includes bibliographical references and index
examples, background, and perspectives -- 2. Classical descriptions of geometries and their properties -- 3. Courant metrics on images of a set -- 4. Transformations generated by velocities -- 5. Metrics via characteristic functions -- 6. Metrics via distance functions -- 7. Metrics via oriented distance functions -- 8. Shape continuity and optimization -- 9. Shape and tangential differential calculuses -- 10. Shape gradients under a state equation constraint -- Elements of bibliography -- Index of Notation -- Index
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