MARC状态：审校 文献类型：西文图书 浏览次数：106
- 题名/责任者:
- Entropy and diversity : the axiomatic approach / Tom Leinster, University of Edinburgh.
- 出版发行项:
- New York : Cambridge University Press, 2021.
- ISBN:
- 9781108832700
- ISBN:
- 1108832709
- ISBN:
- 9781108965576
- ISBN:
- 1108965571
- 载体形态项:
- xiv, 442 pages : illustrations ; 23 cm.
- 个人责任者:
- Leinster, Tom, 1971- author.
- 论题主题:
- Categories (Mathematics)
- 论题主题:
- Biodiversity-Measurement.
- 论题主题:
- Biodiversity-Mathematical models.
- 论题主题:
- Numbers of species-Mathematical models.
- 论题主题:
- Biodiversity-Mathematical models.
- 论题主题:
- Biodiversity-Measurement.
- 论题主题:
- Categories (Mathematics)
- 中图法分类号:
- O414.11
- 书目附注:
- Includes bibliographical references and index.
- 摘要附注:
- "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"--
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