Tom Leinster: Entropy and Diversity

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

Rückseite: 9781108965576 | Entropy and Diversity | Tom Leinster | Taschenbuch | Englisch | 2021

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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.

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
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