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Entropy and Diversity: The Axiomatic Approach
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Entropy and Diversity: The Axiomatic Approach (Hardback)

£99.00
Pre-order for despatch on publication.

Synopsis

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.

Natural World & The EnvironmentThe environmentApplied ecologyBiodiversityReference & ResearchLibrary & information sciencesInformation theoryReference & ResearchResearch & information: generalScience & MathematicsMathematicsApplied mathematicsMathematical modellingScience & MathematicsMathematicsMathematical foundationsSet theory Publisher: Cambridge University Press Publication Date: 30/04/2021 ISBN-13: 9781108832700  Details: Type: Hardback Format: Books
Availability: Pre-order for despatch on publication. Pre-Order

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.

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