Description: Algebraic Combinatorics Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Walks, Trees, Tableaux, and More Author(s): Richard P. Stanley Format: Paperback Language: English Publisher: Springer-Verlag New York Inc., United States Imprint: Springer-Verlag New York Inc. ISBN-13: 9781489992857, 978-1489992857 Synopsis 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 knowledge to mathematical, engineering, and business models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and 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, and the Sperner property. 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 trees. Richard Stanley is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Stanley has received several awards including the George Polya Prize in applied combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. Also by the author: Combinatorics and Commutative Algebra, Second Edition, (c) Birkhauser.
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Book Title: Algebraic Combinatorics
Number of Pages: 223 Pages
Language: English
Publication Name: Algebraic Combinatorics: Walks, Trees, Tableaux, and more
Publisher: Springer-Verlag New York Inc.
Publication Year: 2015
Subject: Mathematics
Item Height: 235 mm
Item Weight: 3635 g
Type: Textbook
Author: Richard P. Stanley
Series: Undergraduate Texts in Mathematics
Item Width: 155 mm
Format: Paperback