Sperner theory /:
This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming (flow theory and polyhedral combinatorics), from linear algebra (Jordan decompositions, Lie-algebra representations and eigenvalue methods), from probability theor...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1997.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
volume 65. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming (flow theory and polyhedral combinatorics), from linear algebra (Jordan decompositions, Lie-algebra representations and eigenvalue methods), from probability theory (limit theorems), and from enumerative combinatorics (Mobius inversion). Researchers in discrete mathematics, optimization, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory. |
| Beschreibung: | 1 online resource (ix, 417 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 395-412) and index. |
| ISBN: | 9781107088641 110708864X 9780511574719 0511574711 |
Internformat
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| 245 | 1 | 0 | |a Sperner theory / |c Konrad Engel. |
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| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v volume 65 | |
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| 505 | 0 | |a 1. Introduction -- 2. Extremal problems for finite sets -- 3. Profile-polytopes for set families -- 4. The flow-theoretic approach in Sperner theory -- 5. Matchings, symmetric chain orders, and the partition lattice -- 6. Algebraic methods in Sperner theory -- 7. Limit theorems and asymptotic estimates -- 8. Macaulay posets. | |
| 520 | |a This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming (flow theory and polyhedral combinatorics), from linear algebra (Jordan decompositions, Lie-algebra representations and eigenvalue methods), from probability theory (limit theorems), and from enumerative combinatorics (Mobius inversion). Researchers in discrete mathematics, optimization, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Sperner theory. |0 http://id.loc.gov/authorities/subjects/sh88006355 | |
| 650 | 0 | |a Partially ordered sets. |0 http://id.loc.gov/authorities/subjects/sh85098352 | |
| 650 | 6 | |a Théorème de Sperner. | |
| 650 | 6 | |a Ensembles partiellement ordonnés. | |
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| author | Engel, Konrad, 1956- |
| author_GND | http://id.loc.gov/authorities/names/n86024050 |
| author_facet | Engel, Konrad, 1956- |
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| callnumber-first | Q - Science |
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| contents | 1. Introduction -- 2. Extremal problems for finite sets -- 3. Profile-polytopes for set families -- 4. The flow-theoretic approach in Sperner theory -- 5. Matchings, symmetric chain orders, and the partition lattice -- 6. Algebraic methods in Sperner theory -- 7. Limit theorems and asymptotic estimates -- 8. Macaulay posets. |
| ctrlnum | (OCoLC)861692664 |
| dewey-full | 511.32 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.32 |
| dewey-search | 511.32 |
| dewey-sort | 3511.32 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn861692664 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:36Z |
| institution | BVB |
| isbn | 9781107088641 110708864X 9780511574719 0511574711 |
| language | English |
| oclc_num | 861692664 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 417 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications ; |
| series2 | Encyclopedia of mathematics and its applications ; |
| spelling | Engel, Konrad, 1956- https://id.oclc.org/worldcat/entity/E39PCjqG9RR4f7VBdFCQjKxkXd http://id.loc.gov/authorities/names/n86024050 Sperner theory / Konrad Engel. Cambridge ; New York : Cambridge University Press, 1997. 1 online resource (ix, 417 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; volume 65 Includes bibliographical references (pages 395-412) and index. 1. Introduction -- 2. Extremal problems for finite sets -- 3. Profile-polytopes for set families -- 4. The flow-theoretic approach in Sperner theory -- 5. Matchings, symmetric chain orders, and the partition lattice -- 6. Algebraic methods in Sperner theory -- 7. Limit theorems and asymptotic estimates -- 8. Macaulay posets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming (flow theory and polyhedral combinatorics), from linear algebra (Jordan decompositions, Lie-algebra representations and eigenvalue methods), from probability theory (limit theorems), and from enumerative combinatorics (Mobius inversion). Researchers in discrete mathematics, optimization, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory. Print version record. Sperner theory. http://id.loc.gov/authorities/subjects/sh88006355 Partially ordered sets. http://id.loc.gov/authorities/subjects/sh85098352 Théorème de Sperner. Ensembles partiellement ordonnés. MATHEMATICS General. bisacsh Partially ordered sets fast Sperner theory fast Combinatieleer. gtt Sperner, Théorie de. ram Ensembles partiellement ordonnés. ram has work: Sperner theory (Text) https://id.oclc.org/worldcat/entity/E39PCFw3rBGWtHjbdQrFB6c49C https://id.oclc.org/worldcat/ontology/hasWork Print version: Engel, Konrad, 1956- Sperner theory 0521452066 (DLC) 96020967 (OCoLC)34730719 Encyclopedia of mathematics and its applications ; volume 65. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569334 Volltext |
| spellingShingle | Engel, Konrad, 1956- Sperner theory / Encyclopedia of mathematics and its applications ; 1. Introduction -- 2. Extremal problems for finite sets -- 3. Profile-polytopes for set families -- 4. The flow-theoretic approach in Sperner theory -- 5. Matchings, symmetric chain orders, and the partition lattice -- 6. Algebraic methods in Sperner theory -- 7. Limit theorems and asymptotic estimates -- 8. Macaulay posets. Sperner theory. http://id.loc.gov/authorities/subjects/sh88006355 Partially ordered sets. http://id.loc.gov/authorities/subjects/sh85098352 Théorème de Sperner. Ensembles partiellement ordonnés. MATHEMATICS General. bisacsh Partially ordered sets fast Sperner theory fast Combinatieleer. gtt Sperner, Théorie de. ram Ensembles partiellement ordonnés. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh88006355 http://id.loc.gov/authorities/subjects/sh85098352 |
| title | Sperner theory / |
| title_auth | Sperner theory / |
| title_exact_search | Sperner theory / |
| title_full | Sperner theory / Konrad Engel. |
| title_fullStr | Sperner theory / Konrad Engel. |
| title_full_unstemmed | Sperner theory / Konrad Engel. |
| title_short | Sperner theory / |
| title_sort | sperner theory |
| topic | Sperner theory. http://id.loc.gov/authorities/subjects/sh88006355 Partially ordered sets. http://id.loc.gov/authorities/subjects/sh85098352 Théorème de Sperner. Ensembles partiellement ordonnés. MATHEMATICS General. bisacsh Partially ordered sets fast Sperner theory fast Combinatieleer. gtt Sperner, Théorie de. ram Ensembles partiellement ordonnés. ram |
| topic_facet | Sperner theory. Partially ordered sets. Théorème de Sperner. Ensembles partiellement ordonnés. MATHEMATICS General. Partially ordered sets Sperner theory Combinatieleer. Sperner, Théorie de. |
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