| 書目名稱 | Lectures on Convex Geometry | | 編輯 | Daniel Hug,Wolfgang Weil | | 視頻video | http://file.papertrans.cn/584/583491/583491.mp4 | | 概述 | The text provides a self-contained and efficient one-semester introduction to the main concepts and results in convex geometry..The selected topics highlight the interactions between geometry and anal | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | .This book provides?a self-contained introduction to?convex geometry in Euclidean space.??After covering the basic concepts and results, it develops?Brunn–Minkowski??theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences,?including??the isoperimetric inequality.??Further central?topics are then treated, such as surface area measures, projection functions, zonoids, and geometric valuations.??Finally, an introduction to?integral-geometric formulas in Euclidean space is provided.??The numerous exercises and the supplementary material at the end of each section?form an essential part?of the book...Convexity is an elementary and natural?concept.?It plays a key role in many mathematical fields, including functional analysis,?optimization,?probability theory,?and stochastic geometry...Paving the way to the more advanced and specialized literature, the?material?will be?accessible to students in the third year and can be covered?in one semester.. | | 出版日期 | Textbook 2020 | | 關(guān)鍵詞 | Convex sets and functions; Brunn-Minkowski theory; Valuations; Zonoids; Integral geometry | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-50180-8 | | isbn_softcover | 978-3-030-50182-2 | | isbn_ebook | 978-3-030-50180-8Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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