| 期刊全稱 | Algebraic Combinatorics | | 期刊簡(jiǎn)稱 | Walks, Trees, Tablea | | 影響因子2023 | Richard P. Stanley | | 視頻video | http://file.papertrans.cn/153/152562/152562.mp4 | | 發(fā)行地址 | Includes a new chapter on combinatorial commutative algebra.First text on algebraic combinatorics targeted towards undergraduates.Written by the most well-known algebraic combinatorist world-wide.Cove | | 學(xué)科分類 | Undergraduate Texts in Mathematics | | 圖書(shū)封面 |  | | 影響因子 | .Written by one of the foremost experts in the field, .Algebraic Combinatorics. is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound understanding to mathematical, engineering, and business models. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and rudiments of group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix-Tree Theorem, de Bruijn sequences, the Erd?s–Moser conjecture, electrical networks, the Sperner property, shellability of simplicialcomplexes and face rings. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled t | | Pindex | Textbook 2018Latest edition |
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