Entropy and diversity: the axiomatic approach
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...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2021
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| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-19 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 27 Apr 2021) |
| Beschreibung: | 1 Online-Ressource (xiv, 442 Seiten) |
| ISBN: | 9781108963558 |
| DOI: | 10.1017/9781108963558 |
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| institution | BVB |
| isbn | 9781108963558 |
| language | English |
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| spelling | Leinster, Tom 1971- (DE-588)1054923337 aut Entropy and diversity the axiomatic approach Tom Leinster, University of Edinburgh Cambridge Cambridge University Press 2021 1 Online-Ressource (xiv, 442 Seiten) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 27 Apr 2021) 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 Categories (Mathematics) Entropy (Information theory) Number of species / Mathematical models Biodiversity / Mathematical models Biodiversity / Measurement Biodiversität (DE-588)4601495-0 gnd rswk-swf Entropie Informationstheorie (DE-588)4743861-7 gnd rswk-swf Entropie Informationstheorie (DE-588)4743861-7 s Biodiversität (DE-588)4601495-0 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-108-83270-0 https://doi.org/10.1017/9781108963558 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Leinster, Tom 1971- Entropy and diversity the axiomatic approach Categories (Mathematics) Entropy (Information theory) Number of species / Mathematical models Biodiversity / Mathematical models Biodiversity / Measurement Biodiversität (DE-588)4601495-0 gnd Entropie Informationstheorie (DE-588)4743861-7 gnd |
| subject_GND | (DE-588)4601495-0 (DE-588)4743861-7 |
| title | Entropy and diversity the axiomatic approach |
| title_auth | Entropy and diversity the axiomatic approach |
| title_exact_search | Entropy and diversity the axiomatic approach |
| title_exact_search_txtP | Entropy and diversity the axiomatic approach |
| title_full | Entropy and diversity the axiomatic approach Tom Leinster, University of Edinburgh |
| title_fullStr | Entropy and diversity the axiomatic approach Tom Leinster, University of Edinburgh |
| title_full_unstemmed | Entropy and diversity the axiomatic approach Tom Leinster, University of Edinburgh |
| title_short | Entropy and diversity |
| title_sort | entropy and diversity the axiomatic approach |
| title_sub | the axiomatic approach |
| topic | Categories (Mathematics) Entropy (Information theory) Number of species / Mathematical models Biodiversity / Mathematical models Biodiversity / Measurement Biodiversität (DE-588)4601495-0 gnd Entropie Informationstheorie (DE-588)4743861-7 gnd |
| topic_facet | Categories (Mathematics) Entropy (Information theory) Number of species / Mathematical models Biodiversity / Mathematical models Biodiversity / Measurement Biodiversität Entropie Informationstheorie |
| url | https://doi.org/10.1017/9781108963558 |
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