| 书目名称 | Structural Additive Theory | | 编辑 | David J. Grynkiewicz | | 视频video | | | 概述 | Focuses on areas of Additive Theory that have not been treated in detail in book form.Requires little pre-requisite apart from a solid background in undergraduate mathematics and graduate-level introd | | 丛书名称 | Developments in Mathematics | | 图书封面 |  | | 描述 | .Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main objects of study are not abelian groups themselves, but rather the additive structure of subsets and subsequences of an abelian group, i.e., sumsets and subsequence sums. This text is a hybrid of a research monograph and an introductory graduate textbook. With few exceptions, all results presented are self-contained, written in great detail, and only reliant upon material covered in an advanced undergraduate curriculum supplemented with some additional Algebra, rendering this book usable as an entry-level text. However, it will perhaps be of even more interest to researchers already in the field. .The majority of material is not found in book form and includes many new results as well. Even classical results, when included, are given in greater generality or using new proof variations. The text has a particular focus on results of a more exact and precise nature, results with strong hypotheses and yet stronger conclusions, and on fundam | | 出版日期 | Book 2013 | | 关键词 | Abelian groups; Freiman homomorphisms; Kneser‘s Theorem; Universal Ambient Group of sumsets; Vosper‘s Th | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-00416-7 | | isbn_softcover | 978-3-319-37518-2 | | isbn_ebook | 978-3-319-00416-7Series ISSN 1389-2177 Series E-ISSN 2197-795X | | issn_series | 1389-2177 | | copyright | Springer International Publishing Switzerland 2013 |
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发表于 2025-3-21 16:42:08
