Theory of matroids /:
The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone...
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1986.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
v. 26. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic. |
| Beschreibung: | 1 online resource (xvii, 316 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781107087668 110708766X |
Internformat
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| 520 | |a The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic. | ||
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| 650 | 7 | |a Corps finis. |2 ram | |
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| id | ZDB-4-EBA-ocn861692480 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:36Z |
| institution | BVB |
| isbn | 9781107087668 110708766X |
| language | English |
| oclc_num | 861692480 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xvii, 316 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications ; |
| series2 | Encyclopedia of mathematics and its applications ; |
| spelling | Theory of matroids / edited by Neil White. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1986. 1 online resource (xvii, 316 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; volume 26 Includes bibliographical references and index. Print version record. The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic. Matroids. http://id.loc.gov/authorities/subjects/sh85082228 Matroïdes. MATHEMATICS General. bisacsh Matroids fast Matroid gnd http://d-nb.info/gnd/4128705-8 Aufsatzsammlung gnd Corps finis. ram White, Neil, 1945- https://id.oclc.org/worldcat/entity/E39PCjHFfcQdcgmkjcXPPv3jP3 http://id.loc.gov/authorities/names/n85014353 Print version: Theory of matroids 0521309379 (DLC) 85006682 (OCoLC)11916298 Encyclopedia of mathematics and its applications ; v. 26. 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=569336 Volltext |
| spellingShingle | Theory of matroids / Encyclopedia of mathematics and its applications ; Matroids. http://id.loc.gov/authorities/subjects/sh85082228 Matroïdes. MATHEMATICS General. bisacsh Matroids fast Matroid gnd http://d-nb.info/gnd/4128705-8 Aufsatzsammlung gnd Corps finis. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082228 http://d-nb.info/gnd/4128705-8 |
| title | Theory of matroids / |
| title_auth | Theory of matroids / |
| title_exact_search | Theory of matroids / |
| title_full | Theory of matroids / edited by Neil White. |
| title_fullStr | Theory of matroids / edited by Neil White. |
| title_full_unstemmed | Theory of matroids / edited by Neil White. |
| title_short | Theory of matroids / |
| title_sort | theory of matroids |
| topic | Matroids. http://id.loc.gov/authorities/subjects/sh85082228 Matroïdes. MATHEMATICS General. bisacsh Matroids fast Matroid gnd http://d-nb.info/gnd/4128705-8 Aufsatzsammlung gnd Corps finis. ram |
| topic_facet | Matroids. Matroïdes. MATHEMATICS General. Matroids Matroid Aufsatzsammlung Corps finis. |
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