书目名称 | Convexity from the Geometric Point of View |
编辑 | Vitor Balestro,Horst Martini,Ralph Teixeira |
视频video | http://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 |  |
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 |
doi | https://doi.org/10.1007/978-3-031-50507-2 |
isbn_softcover | 978-3-031-50508-9 |
isbn_ebook | 978-3-031-50507-2Series ISSN 2197-182X Series E-ISSN 2197-1838 |
issn_series | 2197-182X |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |