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Titlebook: Convexity from the Geometric Point of View; Vitor Balestro,Horst Martini,Ralph Teixeira Textbook 2024 The Editor(s) (if applicable) and Th

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书目名称Convexity from the Geometric Point of View
编辑Vitor Balestro,Horst Martini,Ralph Teixeira
视频videohttp://file.papertrans.cn/243/242436/242436.mp4
概述Comprehensive introduction to the “common core" of convex geometry suitable for course and independent study.Exercises provide instructors with a large pool for assignments; full solutions are availab
丛书名称Cornerstones
图书封面Titlebook: Convexity from the Geometric Point of View;  Vitor Balestro,Horst Martini,Ralph Teixeira Textbook 2024 The Editor(s) (if applicable) and Th
描述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 introdu
出版日期Textbook 2024
关键词Affine position; Asymptotic geometric analysis; Convex body; Convex polytope; Geometric inequalities
版次1
doihttps://doi.org/10.1007/978-3-031-50507-2
isbn_softcover978-3-031-50508-9
isbn_ebook978-3-031-50507-2Series ISSN 2197-182X Series E-ISSN 2197-1838
issn_series 2197-182X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Textbook 2024at 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
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,Affine convex geometry – Part 2,, and they play a central role in the affine geometry of convex bodies. For example, we state and prove the ., which is stronger than the classical isoperimetric inequality. Recall that we regard the space . (of non-empty compact convex subsets of .) as a metric space (with the Hausdorff distance) e
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Further selected topics,s also on the expertise and the particular interests of the authors, and this selection has two objectives: first, to show how the “common core” of the theory studied in this book is applied to obtain more profound results; and second, to bring recent research developments close to the reader.
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