000			a
999			_c32182 _d32182
008			231009b xxu||||| |||| 00| 0 eng d
020			_a9781108965576
082			_a512.62 _bLEI
100			_aLeinster, Tom
245			_aEntropy and diversity : the axiomatic approach
260			_bCambridge University Press, _c2021 _aCambridge :
300			_axiv, 442 p. ; _bill., _c24 cm.
365			_b36.99 _cGBP _d109.80
504			_aIncludes bibliographical references and index.
520			_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.
650			_aInformation Loss
650			_aProbabilistic Methods
650			_aMetacommunities
650			_aMagnitude Value
942			_2ddc _cBK