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Get Algebraic Combinatorics: Walks, Trees, Tableaux, and More PDF

By Richard P. Stanley

ISBN-10: 146146997X

ISBN-13: 9781461469971

ISBN-10: 1489992855

ISBN-13: 9781489992857

Written through one of many finest specialists within the box, Algebraic Combinatorics is a special undergraduate textbook that may arrange the subsequent iteration of natural and utilized mathematicians. the combo of the author’s broad wisdom of combinatorics and classical and useful instruments from algebra will encourage prompted scholars to delve deeply into the interesting interaction among algebra and combinatorics. Readers may be in a position to follow their newfound wisdom to mathematical, engineering, and company versions. The textual content is essentially meant to be used in a one-semester complex undergraduate direction in algebraic combinatorics, enumerative combinatorics, or graph conception.  Prerequisites comprise a easy wisdom of linear algebra over a box, life of finite fields, and team thought.  The subject matters in each one bankruptcy construct on each other and comprise huge 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 only enumerative elements of combinatorics regarding the bankruptcy fabric: the RSK set of rules, aircraft walls, and the enumeration of categorized timber. Richard Stanley is at the moment professor of utilized arithmetic on the Massachusetts Institute of expertise. Stanley has acquired 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 through the writer: Combinatorics and Commutative Algebra, moment variation, © Birkhauser.

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

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