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Entropy and Diversity - The Axiomatic Approach (Paperback)
Loot Price: R1,174
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Entropy and Diversity - The Axiomatic Approach (Paperback)
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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.
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