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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Convexity from the Geometric Point of View
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Convexity from the Geometric Point of View
Vitor Balestro, Horst Martini, Ralph Teixeira (Unbekannter Einband, Englisch)
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Beschreibung
This text gives a comprehensive introduction to the “common core” of convex geometry. Basic concepts and tools which are present in all branches of that field are presented with a highly didactic approach. Mainly directed to graduate and advanced undergraduates, the book is self-contained in such a way that it can be read by anyone who has standard undergraduate knowledge of analysis and of linear… algebra. Additionally, it can be used as a single reference for a complete introduction to convex geometry, and the content coverage is sufficiently broad that the reader may gain a glimpse of the entire breadth of the field and various subfields. The book is suitable as a primary text for courses in convex geometry and also in discrete geometry (including polytopes). It is also appropriate for survey type courses in Banach space theory, convex analysis, differential geometry, and applications of measure theory. Solutions to all exercises are available to instructors who adopt the text for coursework. Most chapters use the same structure with the first part presenting theory and the next containing a healthy range of exercises. Some of the exercises may even be considered as short introductions to ideas which are not covered in the theory portion. Each chapter has a notes section offering a rich narrative to accompany the theory, illuminating the development of ideas, and providing overviews to the literature concerning the covered topics. In most cases, these notes bring the reader to the research front. The text includes many figures that illustrate concepts and some parts of the proofs, enabling the reader to have a better understanding of the geometric meaning of the ideas. An appendix containing basic (and geometric) measure theory collects useful information for convex geometers. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
15.07.2024
Sprache
Englisch
EAN
9783031505065
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Cornerstones
Sonderedition
Nein
Autor
Vitor Balestro, Horst Martini, Ralph Teixeira
Seitenanzahl
1184
Einbandart
Gebundene Ausgabe
Schlagwörter
Affine position, Asymptotic geometric analysis, Convex body, Convex polytope, Geometric inequalities
Thema-Inhalt
PBM - Geometrie
PBD - Diskrete Mathematik
Höhe
254 mm
Breite
17.8 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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