Algebraic combinatorics : walks, trees, tableaux, and more
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 algebr...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
New York, NY :
Springer New York
2013.
Cham : Springer Nature |
| মালা: | Undergraduate Texts in Mathematics
|
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebraic combinatorics, walks, trees, tableaux, and more, Richard P. Stanley, 2013, New York [etc.], Springer, 1 vol. (XII-223 p.), Undergraduate texts in mathematics, 978-1-4614-6997-1, Texte imprimé |
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| 041 | 0 | |a eng | |
| 082 | |a 511.6 | ||
| 100 | 1 | |a Stanley, Richard P., |d 1944-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Algebraic combinatorics : |b walks, trees, tableaux, and more |c by Richard P. Stanley. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2013. | ||
| 490 | 0 | |a Undergraduate Texts in Mathematics |x 0172-6056 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface Notation.- 1. Walks in graphs 2. Cubes and the Radon transform 3. Random walks 4. The Sperner property 5. Group actions on boolean algebras 6. Young diagrams and q-binomial coefficients 7. Enumeration under group action 8. A glimpse of Young tableaux Appendix. The RSK algorithm Appendix. Plane partitions 9. The Matrix Tree Theorem Appendix. Three elegant combinatorial proofs 10. Eulerian diagraphs and oriented trees 11. Cycles, bonds, and electrical networks 12. Miscellaneous gems of algebraic combinatorics Hints References | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 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 Erdős-Moser conjecture, electrical networks, 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 Pólya 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, Birkhäuser | ||
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