Algebraic Combinatorics Walks, Trees, Tableaux, and More

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Stanley, Richard P. Algebraic Combinatorics Walks, Trees, Tableaux, and More

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 Covers topics of Walks in graphs, cubes and Radon transform, Matrix-Tree Theorem, the Sperner property, and more 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. Springer Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, 2nd ed. 2018, XVI, 263 p. and rudiments of group theory. The topics in each chapter build on one another and include 2nd 87 illus. extensive problem sets as well as hints to selected exercises. Key topics include walks on edition graphs, cubes and the Radon transform, the Matrix-Tree Theorem, de Bruijn sequences, the Erds–Moser conjecture, electrical networks, the Sperner property, shellability of simplicial complexes and face rings. There are also three appendices on purely enumerative aspects of Printed book combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the Hardcover enumeration of labeled trees. The new edition contains a bit more content than intended for a Printed book one-semester advanced undergraduate course in algebraic combinatorics, enumerative Hardcover combinatorics, or graph theory. Instructors may pick and choose chapters/sections for course ISBN 978-3-319-77172-4 inclusion and students can immerse themselves in exploring additional gems once the course has ended.A chapter on combinatorial commutative algebra (Chapter 12) is the heart of added $ 59,99 material in this new edition. The author gives substantial application without requisites needed Available for algebraic topology and homological algebra. A sprinkling of additional exercises and a new Discount group section (13. Professional Books (2) Product category Order online at springer.com/booksellers Undergraduate textbook Springer Nature Customer Service Center LLC Series 233 Spring Street Undergraduate Texts in Mathematics New York, NY 10013 USA Other renditions T: +1-800-SPRINGER NATURE Softcover (777-4643) or 212-460-1500 ISBN 978-3-030-08389-2 [email protected] Softcover ISBN 978-3-319-77174-8

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ISBN 978-3-319-77172-4 / BIC: PBV / SPRINGER NATURE: SCM29010 Part of