Download e-book for kindle: Algebraic Combinatorics: Walks, Trees, Tableaux, and More by Richard P. Stanley

By Richard P. Stanley

Written by means of one of many most desirable specialists within the box, Algebraic Combinatorics is a special undergraduate textbook that would organize the following new release of natural and utilized mathematicians. the mix of the author’s large wisdom of combinatorics and classical and useful instruments from algebra will motivate encouraged scholars to delve deeply into the interesting interaction among algebra and combinatorics. Readers may be capable of observe their newfound wisdom to mathematical, engineering, and enterprise versions. The textual content is essentially meant to be used in a one-semester complex undergraduate direction in algebraic combinatorics, enumerative combinatorics, or graph concept.  Prerequisites contain a uncomplicated wisdom of linear algebra over a box, life of finite fields, and team conception.  The themes in every one bankruptcy construct on each other and contain wide challenge units in addition to tricks to chose workouts. Key themes comprise walks on graphs, cubes and the Radon rework, the Matrix–Tree Theorem, and the Sperner estate. There also are 3 appendices on simply enumerative features of combinatorics with regards to the bankruptcy fabric: the RSK set of rules, airplane walls, and the enumeration of classified timber. Richard Stanley is at the moment professor of utilized arithmetic on the Massachusetts Institute of know-how. Stanley has obtained a number of awards together with the George Polya Prize in utilized combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. additionally via the writer: Combinatorics and Commutative Algebra, moment version, © Birkhauser.

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Algebraic Combinatorics: Walks, Trees, Tableaux, and More (Undergraduate Texts in Mathematics) by Richard P. Stanley

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