Tom Leinster

Entropy and Diversity

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 458
• Erscheinungstermin: 22. April 2021
• Englisch
• Abmessung: 235mm x 157mm x 31mm
• Gewicht: 889g
• ISBN-13: 9781108832700
• ISBN-10: 1108832709
• Artikelnr.: 60744632

Autorenporträt

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.

Inhaltsangabe

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.