Algebraic Combinatorics  -  Richard P. Stanley

Walks, Trees, Tableaux, and More

KORTE INHOUD

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 Spe...
2013 Taal: Engels zie alle details...

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2013 Uitgever: Springer 223 paginas Taal: Engels ISBN-10: 146146997X ISBN-13: 9781461469971
Rated 4.25 stars out of 5
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