机读格式显示(MARC)

• 000 02535cam a2200457 i 4500

• 001 0000791927

• 003 SCNU

• 005 20230403105200.0

• 008 201008s2021 nyu b 001 0 eng

• 010 __ |a 2020044817

• 020 __ |a 9781108832700 |q hardback

• 020 __ |a 1108832709 |q hardback

• 020 __ |a 9781108965576 |q paperback

• 020 __ |a 1108965571 |q paperback

• 020 __ |z 9781108962179 |q PDF ebook

• 040 __ |a DLC |b eng |e rda |c DLC |d OCLCO |d YDX |d OCLCF |d UKMGB

• 042 __ |a pcc

• 050 00 |a QA169 |b .L395 2021

• 082 00 |a 512/.62 |2 23

• 093 __ |a O414.11 |2 5

• 099 __ |a CAL 022021069952

• 100 1_ |a Leinster, Tom, |d 1971- |e author.

• 245 10 |a Entropy and diversity : |b the axiomatic approach / |c Tom Leinster, University of Edinburgh.

• 264 _1 |a New York : |b Cambridge University Press, |c 2021.

• 300 __ |a xiv, 442 pages : |b illustrations ; |c 23 cm.

• 336 __ |a text |b txt |2 rdacontent

• 337 __ |a unmediated |b n |2 rdamedia

• 338 __ |a volume |b nc |2 rdacarrier

• 504 __ |a Includes bibliographical references and index.

• 520 __ |a "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"-- |c Provided by publisher.

• 650 _0 |a Categories (Mathematics)

• 650 _0 |a Biodiversity |x Measurement.

• 650 _0 |a Biodiversity |x Mathematical models.

• 650 _0 |a Numbers of species |x Mathematical models.

• 650 _0 |a Entropy (Information theory)

• 650 _7 |a Biodiversity |x Mathematical models. |2 fast

• 650 _7 |a Biodiversity |x Measurement. |2 fast

• 650 _7 |a Categories (Mathematics) |2 fast

• 650 _7 |a Entropy (Information theory) |2 fast

• 920 __ |a 242430 |z 1

• 950 __ |a SCNU |f O414.11/L531