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Author Leinster, Tom, 1971- author.

Title Entropy and diversity : the axiomatic approach / Tom Leinster, University of Edinburgh
Published New York : Cambridge University Press, 2021

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Description 1 online resource
Summary "The global biodiversity crisis is one of humanity's most urgent problems, but even quantifying biological diversity is a difficult mathematical and conceptual challenge. This book brings new mathematical rigour to the ongoing debate. It was born of research in category theory, is given strength by information theory, and is fed by the ancient field of functional equations. It applies the power of the axiomatic method to a biological problem of pressing concern, but it also presents new theorems that stand up as mathematics in their own right, independently of any application. The question 'what is diversity?' has surprising mathematical depth, and this book covers a wide breadth of mathematics, from functional equations to geometric measure theory, from probability theory to number theory. Despite this range, the mathematical prerequisites are few: the main narrative thread of this book requires no more than an undergraduate course in analysis"-- Provided by publisher
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Categories (Mathematics)
Biodiversity -- Measurement
Biodiversity -- Mathematical models
Numbers of species -- Mathematical models
Entropy (Information theory)
Categorías (Matemáticas)
Entropía (Teoría de la información)
Biodiversidad -- Modelos matemáticos
Biodiversity -- Mathematical models
Biodiversity -- Measurement
Categories (Mathematics)
Entropy (Information theory)
Form Electronic book
ISBN 9781108962179
1108962173