This is a book for all mathematicians and for mathematically trained
scientists in other fields. It is not just for those interested in entropy
or diversity for their own sakes, but anyone who enjoys
discovering unexpected connections within mathematics and beyond.
The global biodiversity crisis is one of humanity's most urgent problems. However, even quantifying biological diversity is a difficult conceptual challenge. This book brings new mathematical rigour to the ongoing debate. 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. This book also calls on a wide range of mathematics, touching on subjects including: