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Beschreibung
The mathematical theory of tangles, the centrepiece of the celebrated Robertson-Seymour theory of graph minors, finds precise structure in imprecise data. Assuming only basic undergraduate mathematics, this book shows how tangles can identify, relate, and structure types in data: of behaviour, political views, texts, or proteins.
The mathematical theory of tangles, the centrepiece of the celebrated Robertson-Seymour theory of graph minors, finds precise structure in imprecise data. Assuming only basic undergraduate mathematics, this book shows how tangles can identify, relate, and structure types in data: of behaviour, political views, texts, or proteins.
Über den Autor
Reinhard Diestel is Chair of Discrete Mathematics at Universität Hamburg, where he works on structural graph theory and combinatorics. He is the author of the leading graduate-level text 'Graph Theory' (6th edition, 2024), which has been translated into German, Russian, Japanese, and Chinese.
Inhaltsverzeichnis
Part I. Tangles - A New Paradigm for Clusters and Types: 1. The idea behind tangles; 2. The notion of a tangle; 3. The two main tangle theorems: an informal preview; Part II. Tangles in Different Contexts - A Collection of Informal Examples: 4. Examples from the natural sciences; 5. Examples from the social sciences; 6. Examples from data science; Part III. The Mathematics of Tangles - Concepts, Theorems, Algorithms: 7. The formal setup for tangles; 8. Tangle theorems; 9. Order functions; 10. Choosing the feature system; 11. Algorithms; Part IV. Applying Tangles - Back to the Examples: 12. Applying tangles in the natural sciences; 13. Applying tangles in the social sciences; 14. Applying tangles in data science; Notes; References; Symbol index; Subject index.
Details
Erscheinungsjahr: | 2024 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781009473316 |
ISBN-10: | 100947331X |
Sprache: | Englisch |
Einband: | Gebunden |
Autor: | Diestel, Reinhard |
Hersteller: | Cambridge University Press |
Maße: | 233 x 160 x 23 mm |
Von/Mit: | Reinhard Diestel |
Erscheinungsdatum: | 23.05.2024 |
Gewicht: | 0,552 kg |
Über den Autor
Reinhard Diestel is Chair of Discrete Mathematics at Universität Hamburg, where he works on structural graph theory and combinatorics. He is the author of the leading graduate-level text 'Graph Theory' (6th edition, 2024), which has been translated into German, Russian, Japanese, and Chinese.
Inhaltsverzeichnis
Part I. Tangles - A New Paradigm for Clusters and Types: 1. The idea behind tangles; 2. The notion of a tangle; 3. The two main tangle theorems: an informal preview; Part II. Tangles in Different Contexts - A Collection of Informal Examples: 4. Examples from the natural sciences; 5. Examples from the social sciences; 6. Examples from data science; Part III. The Mathematics of Tangles - Concepts, Theorems, Algorithms: 7. The formal setup for tangles; 8. Tangle theorems; 9. Order functions; 10. Choosing the feature system; 11. Algorithms; Part IV. Applying Tangles - Back to the Examples: 12. Applying tangles in the natural sciences; 13. Applying tangles in the social sciences; 14. Applying tangles in data science; Notes; References; Symbol index; Subject index.
Details
Erscheinungsjahr: | 2024 |
---|---|
Fachbereich: | Wahrscheinlichkeitstheorie |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781009473316 |
ISBN-10: | 100947331X |
Sprache: | Englisch |
Einband: | Gebunden |
Autor: | Diestel, Reinhard |
Hersteller: | Cambridge University Press |
Maße: | 233 x 160 x 23 mm |
Von/Mit: | Reinhard Diestel |
Erscheinungsdatum: | 23.05.2024 |
Gewicht: | 0,552 kg |
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