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Cover: 9781108965576 | Entropy and Diversity | Tom Leinster | Taschenbuch | Paperback | 2021
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Entropy and Diversity
Taschenbuch von Tom Leinster
Sprache: Englisch

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Beschreibung
The biodiversity crisis is one of our most urgent problems. This book develops the mathematics behind the measurement of diversity, spanning a great breadth of subjects: from geometry to logic, from algebra to probability theory. The mathematical prerequisites are few, accessible to mathematicians and biologists with a mathematical background.
The biodiversity crisis is one of our most urgent problems. This book develops the mathematics behind the measurement of diversity, spanning a great breadth of subjects: from geometry to logic, from algebra to probability theory. The mathematical prerequisites are few, accessible to mathematicians and biologists with a mathematical background.
Über den Autor
Tom Leinster is Professor of Category Theory at the University of Edinburgh, a member of the University of Glasgow's Boyd Orr Centre for Population and Ecosystem Health, and co-author of a highly-cited Ecology article on measuring biodiversity. He was awarded the 2019 Chauvenet Prize for mathematical writing.
Inhaltsverzeichnis
Introduction; 1. Fundamental functional equations; 2. Shannon entropy; 3. Relative entropy; 4. Deformations of Shannon entropy; 5. Means; 6. Species similarity and magnitude; 7. Value; 8. Mutual information and metacommunities; 9. Probabilistic methods; 10. Information loss; 11. Entropy modulo a prime; 12. The categorical origins of entropy; Appendix A. Proofs of background facts; Appendix B. Summary of conditions; References; Index of notation; Subject index.
Details
Erscheinungsjahr: 2021
Fachbereich: Grundlagen
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9781108965576
ISBN-10: 1108965571
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Leinster, Tom
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 27 mm
Von/Mit: Tom Leinster
Erscheinungsdatum: 22.04.2021
Gewicht: 0,738 kg
Artikel-ID: 119477562
Über den Autor
Tom Leinster is Professor of Category Theory at the University of Edinburgh, a member of the University of Glasgow's Boyd Orr Centre for Population and Ecosystem Health, and co-author of a highly-cited Ecology article on measuring biodiversity. He was awarded the 2019 Chauvenet Prize for mathematical writing.
Inhaltsverzeichnis
Introduction; 1. Fundamental functional equations; 2. Shannon entropy; 3. Relative entropy; 4. Deformations of Shannon entropy; 5. Means; 6. Species similarity and magnitude; 7. Value; 8. Mutual information and metacommunities; 9. Probabilistic methods; 10. Information loss; 11. Entropy modulo a prime; 12. The categorical origins of entropy; Appendix A. Proofs of background facts; Appendix B. Summary of conditions; References; Index of notation; Subject index.
Details
Erscheinungsjahr: 2021
Fachbereich: Grundlagen
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9781108965576
ISBN-10: 1108965571
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Leinster, Tom
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 27 mm
Von/Mit: Tom Leinster
Erscheinungsdatum: 22.04.2021
Gewicht: 0,738 kg
Artikel-ID: 119477562
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