Combinatorics and Commutative Algebra

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Release : 2007-12-13
Genre : Mathematics
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Book Rating : 334/5 ( reviews)

Combinatorics and Commutative Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorics and Commutative Algebra write by Richard P. Stanley. This book was released on 2007-12-13. Combinatorics and Commutative Algebra available in PDF, EPUB and Kindle. * Stanley represents a broad perspective with respect to two significant topics from Combinatorial Commutative Algebra: 1) The theory of invariants of a torus acting linearly on a polynomial ring, and 2) The face ring of a simplicial complex * In this new edition, the author further develops some interesting properties of face rings with application to combinatorics

Combinatorial Commutative Algebra

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Release : 2005-06-21
Genre : Mathematics
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Book Rating : 077/5 ( reviews)

Combinatorial Commutative Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial Commutative Algebra write by Ezra Miller. This book was released on 2005-06-21. Combinatorial Commutative Algebra available in PDF, EPUB and Kindle. Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs

Algebraic Combinatorics

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Release : 2013-06-17
Genre : Mathematics
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Book Rating : 988/5 ( reviews)

Algebraic Combinatorics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Combinatorics write by Richard P. Stanley. This book was released on 2013-06-17. Algebraic Combinatorics available in PDF, EPUB and Kindle. 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, © Birkhauser.

Combinatorics and Commutative Algebra

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Release : 1996-03-01
Genre : Mathematics
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Book Rating : 368/5 ( reviews)

Combinatorics and Commutative Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorics and Commutative Algebra write by Richard Stanley. This book was released on 1996-03-01. Combinatorics and Commutative Algebra available in PDF, EPUB and Kindle. * Stanley represents a broad perspective with respect to two significant topics from Combinatorial Commutative Algebra: 1) The theory of invariants of a torus acting linearly on a polynomial ring, and 2) The face ring of a simplicial complex * In this new edition, the author further develops some interesting properties of face rings with application to combinatorics

Connections Between Algebra, Combinatorics, and Geometry

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Release : 2014-05-16
Genre : Mathematics
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Book Rating : 267/5 ( reviews)

Connections Between Algebra, Combinatorics, and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Connections Between Algebra, Combinatorics, and Geometry write by Susan M. Cooper. This book was released on 2014-05-16. Connections Between Algebra, Combinatorics, and Geometry available in PDF, EPUB and Kindle. Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 2–3, 2012, and the meeting Further Connections Between Algebra and Geometry, which was held at the North Dakota State University February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra, secant varieties, and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra, algebraic geometry, combinatorics, and the intricacies of their intersection.