| 书目名称 | Discrete Energy on Rectifiable Sets | | 编辑 | Sergiy V. Borodachov,Douglas P. Hardin,Edward B. S | | 视频video | | | 概述 | Subject matter connects several different branches of mathematics and has myriad applications to the physical and biological sciences.Book is rich with attractive, full color images.Self-contained boo | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations. Written by leading authorities on the topic, this treatise is designed with the graduate student and further explorers in mind. The presentation includes a chapter of preliminaries and an extensive Appendix that augments a course in Real Analysis and makes the text self-contained. Along with numerous attractive full-color images, the exposition conveys the beauty of the subject and its connection to several branches of mathematics, computational methods, and physical/biological applications.. .This work is destined to be a valuable research resource for such topics as packing and covering problems, generalizations of the famous Thomson Problem, and classical potential theory in R.d.. It features three chapters dealing with point distributions on the sphere, including an extensive treatment of Delsarte–Yudin–Levenshtein linearprogramming methods for lower bounding energy, a thorough treatment of Cohn–Kumar universality, and a comparison of ‘popular methods‘ for uniformly distributing points on the two-dimensional sphere. Some unique features of the work a | | 出版日期 | Book 2019 | | 关键词 | Discretization; Energy Asymptotics; Equilibrium Distributions; Minimum Energy Approach; Riesz Kernels; Ri | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-84808-2 | | isbn_ebook | 978-0-387-84808-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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发表于 2025-3-21 16:26:33
