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Shapes and geometries : metrics, analysis, differential calculus, and optimization / M. C. Delfour, J.-P. Zolésio

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Advances in design and control ; 22Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics, 2011Edition: 2. edDescription: XVII, 622 SISBN:
  • 9780898719369
  • 0898719364
Subject(s): Additional physical formats: 9780898719826 | 0898719364 | Erscheint auch als: Shapes and geometries. Druck-Ausgabe 2. ed. Philadelphia, Pa. : SIAM, Soc. for Industrial and Applied Mathematics, 2011. XXIII, 622 S.DDC classification:
  • 514.24
MSC: MSC: *49-02 | 51-01 | 49Q10 | 28Cxx | 37J05 | 46B22RVK: RVK: SK 240LOC classification:
  • QA612.7
DOI: DOI: 10.1137/1.9780898719826Online resources:
Contents:
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
Summary: 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
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