Scaling:
Many phenomena in nature, engineering or society when seen at an intermediate distance, in space or time, exhibit the remarkable property of self-similarity: they reproduce themselves as scales change, subject to so-called scaling laws. It's crucial to know the details of these laws, so that ma...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2003
|
| Series: | Cambridge texts in applied mathematics
34 |
| Subjects: | |
| Online Access: | DE-12 DE-92 Volltext |
| Summary: | Many phenomena in nature, engineering or society when seen at an intermediate distance, in space or time, exhibit the remarkable property of self-similarity: they reproduce themselves as scales change, subject to so-called scaling laws. It's crucial to know the details of these laws, so that mathematical models can be properly formulated and analysed, and the phenomena in question can be more deeply understood. In this 2003 book, the author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural attributes of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xiv, 171 pages) |
| ISBN: | 9780511814921 |
| DOI: | 10.1017/CBO9780511814921 |
Staff View
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| indexdate | 2025-04-23T10:01:08Z |
| institution | BVB |
| isbn | 9780511814921 |
| language | English |
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| publisher | Cambridge University Press |
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| spelling | Barenblatt, Grigorij I. 1927-2018 Verfasser (DE-588)128640677 aut Scaling Grigory Isaakovich Barenblatt Cambridge Cambridge University Press 2003 1 online resource (xiv, 171 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge texts in applied mathematics 34 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Many phenomena in nature, engineering or society when seen at an intermediate distance, in space or time, exhibit the remarkable property of self-similarity: they reproduce themselves as scales change, subject to so-called scaling laws. It's crucial to know the details of these laws, so that mathematical models can be properly formulated and analysed, and the phenomena in question can be more deeply understood. In this 2003 book, the author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural attributes of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists Scaling laws (Statistical physics) Selbstähnlichkeit (DE-588)4286650-9 gnd rswk-swf Skalierungsgesetz (DE-588)4205012-1 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Skalierung (DE-588)4055202-0 gnd rswk-swf Skalierungsgesetz (DE-588)4205012-1 s Selbstähnlichkeit (DE-588)4286650-9 s 1\p DE-604 Skalierung (DE-588)4055202-0 s Mathematische Methode (DE-588)4155620-3 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-53394-2 Erscheint auch als Druckausgabe 978-0-521-82657-0 Cambridge texts in applied mathematics 34 (DE-604)BV046998082 34 https://doi.org/10.1017/CBO9780511814921 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barenblatt, Grigorij I. 1927-2018 Scaling Scaling laws (Statistical physics) Selbstähnlichkeit (DE-588)4286650-9 gnd Skalierungsgesetz (DE-588)4205012-1 gnd Mathematische Methode (DE-588)4155620-3 gnd Skalierung (DE-588)4055202-0 gnd Cambridge texts in applied mathematics |
| subject_GND | (DE-588)4286650-9 (DE-588)4205012-1 (DE-588)4155620-3 (DE-588)4055202-0 |
| title | Scaling |
| title_auth | Scaling |
| title_exact_search | Scaling |
| title_full | Scaling Grigory Isaakovich Barenblatt |
| title_fullStr | Scaling Grigory Isaakovich Barenblatt |
| title_full_unstemmed | Scaling Grigory Isaakovich Barenblatt |
| title_short | Scaling |
| title_sort | scaling |
| topic | Scaling laws (Statistical physics) Selbstähnlichkeit (DE-588)4286650-9 gnd Skalierungsgesetz (DE-588)4205012-1 gnd Mathematische Methode (DE-588)4155620-3 gnd Skalierung (DE-588)4055202-0 gnd |
| topic_facet | Scaling laws (Statistical physics) Selbstähnlichkeit Skalierungsgesetz Mathematische Methode Skalierung |
| url | https://doi.org/10.1017/CBO9780511814921 |
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