Synopsis
Written by an expert in the field, this undergraduate textbook will prepare the next generation of pure and applied mathematicians. Key topics include walks on graphs, cubes and the Radon transform, the Matrix-Tree Theorem, and the Sperner property.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Richard P. Stanley is one of the most well-known algebraic combinatorists in the world. He is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Amongst his several visiting professorships, Stanley has received numerous awards including the George Polya Prize in Applied Combinatorics, Guggenheim Fellowship, admission to both the American Academy and National Academies of Sciences, Leroy P. Steele Prize for Mathematical Exposition, Rolf Schock Prize in Mathematics, Senior Scholar at Clay Mathematics Institute, Aisenstadt Chair, Honorary Doctor of Mathematics from the University of Waterloo, and an honorary professorship at the Nankai University. Professor Stanley has had over 50 doctoral students and is well known for his excellent teaching skills.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Algebraic Combinatorics (Undergraduate Texts in Mathematics)
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Algebraic Combinatorics
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Algebraic Combinatorics (Undergraduate Texts in Mathematics)
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Algebraic Combinatorics (Undergraduate Texts in Mathematics)
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Algebraic Combinatorics (eng)
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Algebraic Combinatorics
Edité par
Springer International Publishing Jun 2018, 2018
ISBN 10 : 3319771728
ISBN 13 : 9783319771724
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 understanding to mathematical, engineering, and business models. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and rudiments of 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, de Bruijn sequences, the Erdös-Moser conjecture, electrical networks, the Sperner property, shellability of simplicial complexes and face rings. 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.The new edition contains a bit more content than intended for a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Instructors may pick and choose chapters/sections for course inclusion and students can immerse themselves in exploring additional gems once the course has ended.A chapter on combinatorial commutative algebra (Chapter 12) is the heart of added material in this new edition. The author gives substantial application without requisites needed for algebraic topology and homological algebra. A sprinkling of additional exercises and a new section (13.8) involving commutative algebra, have been added.From reviews of the first edition:'This gentle book provides the perfect stepping-stone up. The various chapters treat diverse topics . . Stanley's emphasis on 'gems' unites all this -he chooses his material to excite students and draw them into further study. . Summing Up: Highly recommended. Upper-division undergraduates and above.' -D. V. Feldman, Choice, Vol. 51(8), April, 2014 280 pp. Englisch. N° de réf. du vendeur 9783319771724
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Algebraic Combinatorics
Edité par
Springer International Publishing, 2018
ISBN 10 : 3319771728
ISBN 13 : 9783319771724
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes a new chapter on combinatorial commutative algebra First text on algebraic combinatorics targeted towards undergraduatesWritten by the most well-known algebraic combinatorist world-wideCovers topics o. N° de réf. du vendeur 207915951
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Algebraic Combinatorics
ISBN 10 : 3319771728
ISBN 13 : 9783319771724
Neuf
Couverture rigide
Edition originale
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Neuware -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 understanding to mathematical, engineering, and business models. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and rudiments of 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, de Bruijn sequences, the Erd¿s¿Moser conjecture, electrical networks, the Sperner property, shellability of simplicialcomplexes and face rings. 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.The new edition contains a bit more content than intended for a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Instructors may pick and choose chapters/sections for course inclusion and students can immerse themselves in exploring additional gems once the course has ended. A chapter on combinatorial commutative algebra (Chapter 12) is the heart of added material in this new edition. The author gives substantial application without requisites needed for algebraic topology and homological algebra. A sprinkling of additional exercises and a new section (13.8) involving commutative algebra, have been added.From reviews of the first edition:¿This gentle book provides the perfect stepping-stone up. The various chapters treat diverse topics ¿ . Stanley¿s emphasis on ¿gems¿ unites all this ¿he chooses his material to excite students and draw them into further study. ¿ Summing Up: Highly recommended. Upper-division undergraduates and above.¿¿D. V. Feldman, Choice, Vol. 51(8), April, 2014Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 280 pp. Englisch. N° de réf. du vendeur 9783319771724
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Algebraic Combinatorics : Walks, Trees, Tableaux, and More
Edité par
Springer International Publishing, 2018
ISBN 10 : 3319771728
ISBN 13 : 9783319771724
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 understanding to mathematical, engineering, and business models. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and rudiments of 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, de Bruijn sequences, the Erdös-Moser conjecture, electrical networks, the Sperner property, shellability of simplicialcomplexes and face rings. 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.The new edition contains a bit more content than intended for a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Instructors may pick and choose chapters/sections for course inclusion and students can immerse themselves in exploring additional gems once the course has ended.A chapter on combinatorial commutative algebra (Chapter 12) is the heart of added material in this new edition. The author gives substantial application without requisites needed for algebraic topology and homological algebra. A sprinkling of additional exercises and a new section (13.8) involving commutative algebra, have been added.From reviews of the first edition:'This gentle book provides the perfect stepping-stone up. The various chapters treat diverse topics . . Stanley's emphasis on 'gems' unites all this -he chooses his material to excite students and draw them into further study. . Summing Up: Highly recommended. Upper-division undergraduates and above.' -D. V. Feldman, Choice, Vol. 51(8), April, 2014. N° de réf. du vendeur 9783319771724
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Algebraic Combinatorics | Walks, Trees, Tableaux, and More
Edité par
Springer Nature Switzerland, 2018
ISBN 10 : 3319771728
ISBN 13 : 9783319771724
Neuf
Couverture rigide
Vendeur : preigu, Osnabrück, Allemagne
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Buch. Etat : Neu. Algebraic Combinatorics | Walks, Trees, Tableaux, and More | Richard P. Stanley | Buch | xvi | Englisch | 2018 | Springer Nature Switzerland | EAN 9783319771724 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 111302012
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