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 st...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore
Cambridge University Press
2021
|
| Ausgabe: | first published |
| Schlagworte: | |
| 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: | Literaturverzeichnis Seite 412-430 2101 |
| Beschreibung: | xiv, 442 Seiten Illustrationen, Diagramme |
| ISBN: | 9781108832700 9781108965576 |
Internformat
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Datensatz im Suchindex
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| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.62 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | first published |
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| id | DE-604.BV047271705 |
| illustrated | Illustrated |
| index_date | 2024-07-03T17:14:28Z |
| indexdate | 2024-07-10T09:07:25Z |
| institution | BVB |
| isbn | 9781108832700 9781108965576 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032675397 |
| oclc_num | 1245963367 |
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| owner | DE-91G DE-BY-TUM DE-11 DE-188 DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-11 DE-188 DE-83 |
| physical | xiv, 442 Seiten Illustrationen, Diagramme |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Leinster, Tom 1971- (DE-588)1054923337 aut Entropy and diversity the axiomatic approach Tom Leinster ; University of Edinburgh first published Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore Cambridge University Press 2021 xiv, 442 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Literaturverzeichnis Seite 412-430 2101 "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"-- Biodiversität (DE-588)4601495-0 gnd rswk-swf Entropie Informationstheorie (DE-588)4743861-7 gnd rswk-swf Categories (Mathematics) Biodiversity / Measurement Biodiversity / Mathematical models Number of species / Mathematical models Entropy (Information theory) Entropie Informationstheorie (DE-588)4743861-7 s Biodiversität (DE-588)4601495-0 s DE-604 Erscheint auch als Online-Ausgabe 978-1-108-96217-9 Erscheint auch als Online-Ausgabe 978-1-108-96355-8 |
| spellingShingle | Leinster, Tom 1971- Entropy and diversity the axiomatic approach 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 | Biodiversität (DE-588)4601495-0 gnd Entropie Informationstheorie (DE-588)4743861-7 gnd |
| topic_facet | Biodiversität Entropie Informationstheorie |
| work_keys_str_mv | AT leinstertom entropyanddiversitytheaxiomaticapproach |