| 书目名称 | Lectures on Advances in Combinatorics | | 编辑 | Rudolf Ahlswede,Vladimir Blinovsky | | 视频video | | | 概述 | Written by specialists of the subject.High educational value because it presents some very impressive research results, that have not appeared - for the most part - in book form.Some theorems are of b | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades. However, the organization of the lectures in six chapters does neither follow the historic developments nor the connections between ideas in several cases. With the speci?ed auxiliary results in ChapterI on Probability Theory, Graph Theory, etc., all chapters can be read and taught independently of one another. In addition to the 16 lectures organized in 6 chapters of the main part of the book, there is supplementary material for most of them in the Appendix. In parti- lar, there are applications and further exercises, research problems, conjectures, and even research programs. The following books and reports [B97], [ACDKPSWZ00], [A01], and [ABCABDM06], mostly of the authors, are frequently cited in this book, especially in the Appendix, and we therefore mark them by short labels as [B], [N], [E], and [G]. We emphasize that there are also “Exercises” in [B], a “Problem Section” with contributions by several authors on pages 1063–1105 of [G], which are often of a combinatori | | 出版日期 | Textbook 2008 | | 关键词 | AZ-identities; LYM-inequality; Maxima; Number theory; Prime; antichain splitting; combinatorics; diametric | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-78602-3 | | isbn_softcover | 978-3-540-78601-6 | | isbn_ebook | 978-3-540-78602-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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发表于 2025-3-21 17:32:04
