Algebraic Combinatorics

Walks, Trees, Tableaux, and More

Nonfiction, Science & Nature, Mathematics, Combinatorics, Graphic Methods
Cover of the book Algebraic Combinatorics by Richard P. Stanley, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Richard P. Stanley ISBN: 9781461469988
Publisher: Springer New York Publication: June 17, 2013
Imprint: Springer Language: English
Author: Richard P. Stanley
ISBN: 9781461469988
Publisher: Springer New York
Publication: June 17, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Simulation Fidelity in Training System Design by Richard P. Stanley
Cover of the book Primates in Fragments by Richard P. Stanley
Cover of the book Multimedia Data Hiding by Richard P. Stanley
Cover of the book Tools to Aid Environmental Decision Making by Richard P. Stanley
Cover of the book Modeling, Simulation and Visual Analysis of Crowds by Richard P. Stanley
Cover of the book MR Spectroscopy of Pediatric Brain Disorders by Richard P. Stanley
Cover of the book Ecobehavioral Analysis and Developmental Disabilities by Richard P. Stanley
Cover of the book FPGA Design by Richard P. Stanley
Cover of the book The Analysis of Diffuse Triple Junction Zones in Plate Tectonics and the Pirate Model of Western Caribbean Tectonics by Richard P. Stanley
Cover of the book Proceedings of the 2007 National Conference on Environmental Science and Technology by Richard P. Stanley
Cover of the book An Archaeology of the Margins by Richard P. Stanley
Cover of the book Archaeology in Society by Richard P. Stanley
Cover of the book Hedgehog signaling activation in human cancer and its clinical implications by Richard P. Stanley
Cover of the book Biophysics of DNA-Protein Interactions by Richard P. Stanley
Cover of the book Anxiety and Depression in Children and Adolescents by Richard P. Stanley
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy