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Algebraic Combinatorics: Walks, Trees, Tableaux, and More 2013 Edition
Contributor(s): Stanley, Richard P. (Author)
ISBN: 1489992855     ISBN-13: 9781489992857
Publisher: Springer
OUR PRICE:   $47.49  
Product Type: Paperback - Other Formats
Published: July 2015
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Combinatorics
- Mathematics | Graphic Methods
- Mathematics | Discrete Mathematics
Dewey: 511.5
Series: Undergraduate Texts in Mathematics
Physical Information: 0.5" H x 6.14" W x 9.21" (0.74 lbs) 223 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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.