Combinatorics: Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1975
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| Schriftenreihe: | NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences
16 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Combinatorics has come of age. It had its beginnings in a number of puzzles which have still not lost their charm. Among these are EULER'S problem of the 36 officers and the KONIGSBERG bridge problem, BACHET's problem of the weights, and the Reverend T.P. KIRKMAN'S problem of the schoolgirls. Many of the topics treated in ROUSE BALL'S Recreational Mathematics belong to combinatorial theory. All of this has now changed. The solution of the puzzles has led to a large and sophisticated theory with many complex ramifications. And it seems probable that the four color problem will only be solved in terms of as yet undiscovered deep results in graph theory. Combinatorics and the theory of numbers have much in common. In both theories there are many prob lems which are easy to state in terms understandable by the layman, but whose solution depends on complicated and abstruse methods. And there are now interconnections between these theories in terms of which each enriches the other. Combinatorics includes a diversity of topics which do however have interrelations in superficially unexpected ways. The instructional lectures included in these proceedings have been divided into six major areas: 1. Theory of designs; 2. Graph theory; 3. Combinatorial group theory; 4. Finite geometry; 5. Foundations, partitions and combinatorial geometry; 6. Coding theory. They are designed to give an overview of the classical foundations of the subjects treated and also some indication of the present frontiers of research |
| Beschreibung: | 1 Online-Ressource (VIII, 482 p) |
| ISBN: | 9789401018265 9789401018289 |
| ISSN: | 1389-2185 |
| DOI: | 10.1007/978-94-010-1826-5 |
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| 246 | 1 | 3 | |a Proceedings of the NATO Advanced Study Institute, Breukelen, The Netherlands, July 8-30, 1974 |
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| 500 | |a Combinatorics has come of age. It had its beginnings in a number of puzzles which have still not lost their charm. Among these are EULER'S problem of the 36 officers and the KONIGSBERG bridge problem, BACHET's problem of the weights, and the Reverend T.P. KIRKMAN'S problem of the schoolgirls. Many of the topics treated in ROUSE BALL'S Recreational Mathematics belong to combinatorial theory. All of this has now changed. The solution of the puzzles has led to a large and sophisticated theory with many complex ramifications. And it seems probable that the four color problem will only be solved in terms of as yet undiscovered deep results in graph theory. Combinatorics and the theory of numbers have much in common. In both theories there are many prob lems which are easy to state in terms understandable by the layman, but whose solution depends on complicated and abstruse methods. And there are now interconnections between these theories in terms of which each enriches the other. Combinatorics includes a diversity of topics which do however have interrelations in superficially unexpected ways. The instructional lectures included in these proceedings have been divided into six major areas: 1. Theory of designs; 2. Graph theory; 3. Combinatorial group theory; 4. Finite geometry; 5. Foundations, partitions and combinatorial geometry; 6. Coding theory. They are designed to give an overview of the classical foundations of the subjects treated and also some indication of the present frontiers of research | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Combinatorics | |
| 650 | 4 | |a Mathematik | |
| 700 | 1 | |a Hall, M. |4 edt | |
| 700 | 1 | |a Lint, J. H. |4 edt | |
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Datensatz im Suchindex
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| author2 | Hall, M. Lint, J. H. |
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| author_facet | Hall, M. Lint, J. H. |
| building | Verbundindex |
| bvnumber | BV042415574 |
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| ctrlnum | (OCoLC)863804123 (DE-599)BVBBV042415574 |
| dewey-full | 511.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.6 |
| dewey-search | 511.6 |
| dewey-sort | 3511.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-94-010-1826-5 |
| format | Electronic eBook |
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| id | DE-604.BV042415574 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:57Z |
| institution | BVB |
| isbn | 9789401018265 9789401018289 |
| issn | 1389-2185 |
| language | English |
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| series | NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences |
| series2 | NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences |
| spelling | Combinatorics Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974 edited by M. Hall, J. H. Lint Proceedings of the NATO Advanced Study Institute, Breukelen, The Netherlands, July 8-30, 1974 Dordrecht Springer Netherlands 1975 1 Online-Ressource (VIII, 482 p) txt rdacontent c rdamedia cr rdacarrier NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences 16 1389-2185 Combinatorics has come of age. It had its beginnings in a number of puzzles which have still not lost their charm. Among these are EULER'S problem of the 36 officers and the KONIGSBERG bridge problem, BACHET's problem of the weights, and the Reverend T.P. KIRKMAN'S problem of the schoolgirls. Many of the topics treated in ROUSE BALL'S Recreational Mathematics belong to combinatorial theory. All of this has now changed. The solution of the puzzles has led to a large and sophisticated theory with many complex ramifications. And it seems probable that the four color problem will only be solved in terms of as yet undiscovered deep results in graph theory. Combinatorics and the theory of numbers have much in common. In both theories there are many prob lems which are easy to state in terms understandable by the layman, but whose solution depends on complicated and abstruse methods. And there are now interconnections between these theories in terms of which each enriches the other. Combinatorics includes a diversity of topics which do however have interrelations in superficially unexpected ways. The instructional lectures included in these proceedings have been divided into six major areas: 1. Theory of designs; 2. Graph theory; 3. Combinatorial group theory; 4. Finite geometry; 5. Foundations, partitions and combinatorial geometry; 6. Coding theory. They are designed to give an overview of the classical foundations of the subjects treated and also some indication of the present frontiers of research Mathematics Combinatorics Mathematik Hall, M. edt Lint, J. H. edt NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences 16 (DE-604)BV000902768 16 https://doi.org/10.1007/978-94-010-1826-5 Verlag Volltext |
| spellingShingle | Combinatorics Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974 NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences Mathematics Combinatorics Mathematik |
| title | Combinatorics Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974 |
| title_alt | Proceedings of the NATO Advanced Study Institute, Breukelen, The Netherlands, July 8-30, 1974 |
| title_auth | Combinatorics Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974 |
| title_exact_search | Combinatorics Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974 |
| title_full | Combinatorics Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974 edited by M. Hall, J. H. Lint |
| title_fullStr | Combinatorics Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974 edited by M. Hall, J. H. Lint |
| title_full_unstemmed | Combinatorics Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974 edited by M. Hall, J. H. Lint |
| title_short | Combinatorics |
| title_sort | combinatorics proceedings of the nato advanced study institute held at nijenrode castle breukelen the netherlands 8 20 july 1974 |
| title_sub | Proceedings of the NATO Advanced Study Institute held at Nijenrode Castle, Breukelen, The Netherlands 8–20 July 1974 |
| topic | Mathematics Combinatorics Mathematik |
| topic_facet | Mathematics Combinatorics Mathematik |
| url | https://doi.org/10.1007/978-94-010-1826-5 |
| volume_link | (DE-604)BV000902768 |
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