01738 a2200229 4500999001700000008004100017020002100058082001600079100001800095245005100113260005100164300003300215365002300248504005100271520096300322650002101285650002601306650002001332650002001352942001201372952012401384 c32182d32182231009b xxu||||| |||| 00| 0 eng d a9781108965576 a512.62bLEI aLeinster, Tom aEntropy and diversity : the axiomatic approach bCambridge University Press,c2021aCambridge : axiv, 442 p. ;bill.,c24 cm. b36.99cGBPd109.80 aIncludes bibliographical references and index. aThe 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. aInformation Loss aProbabilistic Methods aMetacommunities aMagnitude Value 2ddccBK 00102ddc406512_620000000000000_LEI70942714aDAIICTbDAIICTd2023-10-06g109.80o512.62 LEIp034368r2023-10-09yBK