登入選單
返回Google圖書搜尋
Entropy and Diversity
Tom Leinster
其他書名
The Axiomatic Approach
出版Cambridge University Press, 2021-04-22
主題Language Arts & Disciplines / Library & Information Science / GeneralMathematics / GeneralMathematics / Algebra / GeneralMathematics / AppliedMathematics / LogicMathematics / Set TheoryScience / Life Sciences / Biological Diversity
ISBN11088327099781108832700
URLhttp://books.google.com.hk/books?id=KvQgEAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.