Ten Applications of Graph Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1984
|
| Schriftenreihe: | Mathematics and Its Applications, East European Series
7 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exempla gratia: - a central concept which plays an important role in several different mathematical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific endeavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another |
| Beschreibung: | 1 Online-Ressource (264p) |
| ISBN: | 9789400971547 9789400971561 |
| ISSN: | 0169-507X |
| DOI: | 10.1007/978-94-009-7154-7 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153099876564992 |
|---|---|
| any_adam_object | |
| author | Walther, Hansjoachim |
| author_facet | Walther, Hansjoachim |
| author_role | aut |
| author_sort | Walther, Hansjoachim |
| author_variant | h w hw |
| building | Verbundindex |
| bvnumber | BV042423762 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-full | 004.0151 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 004 - Computer science |
| dewey-raw | 004.0151 |
| dewey-search | 004.0151 |
| dewey-sort | 14.0151 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-94-009-7154-7 |
| format | Electronic eBook |
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| id | DE-604.BV042423762 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789400971547 9789400971561 |
| issn | 0169-507X |
| language | English |
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| publishDate | 1984 |
| publishDateSearch | 1984 |
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| publisher | Springer Netherlands |
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| series | Mathematics and Its Applications, East European Series |
| series2 | Mathematics and Its Applications, East European Series |
| spelling | Walther, Hansjoachim Verfasser aut Ten Applications of Graph Theory by Hansjoachim Walther Dordrecht Springer Netherlands 1984 1 Online-Ressource (264p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications, East European Series 7 0169-507X Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exempla gratia: - a central concept which plays an important role in several different mathematical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific endeavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another Computer science Computational complexity Computer Science Discrete Mathematics in Computer Science Informatik Graphentheorie (DE-588)4113782-6 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Netzplantechnik (DE-588)4075297-5 gnd rswk-swf Graphentheorie (DE-588)4113782-6 s Anwendung (DE-588)4196864-5 s 1\p DE-604 Netzwerk (DE-588)4171529-9 s 2\p DE-604 Netzplantechnik (DE-588)4075297-5 s 3\p DE-604 Mathematics and Its Applications, East European Series 7 (DE-604)BV000006709 7 https://doi.org/10.1007/978-94-009-7154-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Walther, Hansjoachim Ten Applications of Graph Theory Mathematics and Its Applications, East European Series Computer science Computational complexity Computer Science Discrete Mathematics in Computer Science Informatik Graphentheorie (DE-588)4113782-6 gnd Anwendung (DE-588)4196864-5 gnd Netzwerk (DE-588)4171529-9 gnd Netzplantechnik (DE-588)4075297-5 gnd |
| subject_GND | (DE-588)4113782-6 (DE-588)4196864-5 (DE-588)4171529-9 (DE-588)4075297-5 |
| title | Ten Applications of Graph Theory |
| title_auth | Ten Applications of Graph Theory |
| title_exact_search | Ten Applications of Graph Theory |
| title_full | Ten Applications of Graph Theory by Hansjoachim Walther |
| title_fullStr | Ten Applications of Graph Theory by Hansjoachim Walther |
| title_full_unstemmed | Ten Applications of Graph Theory by Hansjoachim Walther |
| title_short | Ten Applications of Graph Theory |
| title_sort | ten applications of graph theory |
| topic | Computer science Computational complexity Computer Science Discrete Mathematics in Computer Science Informatik Graphentheorie (DE-588)4113782-6 gnd Anwendung (DE-588)4196864-5 gnd Netzwerk (DE-588)4171529-9 gnd Netzplantechnik (DE-588)4075297-5 gnd |
| topic_facet | Computer science Computational complexity Computer Science Discrete Mathematics in Computer Science Informatik Graphentheorie Anwendung Netzwerk Netzplantechnik |
| url | https://doi.org/10.1007/978-94-009-7154-7 |
| volume_link | (DE-604)BV000006709 |
| work_keys_str_mv | AT waltherhansjoachim tenapplicationsofgraphtheory |