James Stirling’s Methodus Differentialis: An Annotated Translation of Stirling’s Text
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Springer London
2003
|
| Schriftenreihe: | Sources and Studies in the History of Mathematics and Physical Sciences
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | James Stirling's "Methodus Differentialis" is one of the early classics of numerical analysis. It contains not only the results and ideas for which Stirling is chiefly remembered, for example, Stirling numbers and Stirling's asymptotic formula for factorials, but also a wealth of material on transformations of series and limiting processes. An impressive collection of examples illustrates the efficacy of Stirling's methods by means of numerical calculations, and some germs of later ideas, notably the Gamma function and asymptotic series, are also to be found. This volume presents a new translation of Stirling's text that features an extensive series of notes in which Stirling's results and calculations are analysed and historical background is provided. Ian Tweddle places the text in its contemporary context, but also relates the material to the interests of practising mathematicians today. Clear and accessible, this book will be of interest to mathematical historians, researchers and numerical analysts |
| Beschreibung: | 1 Online-Ressource (VIII, 296 p) |
| ISBN: | 9781447100218 9781447111276 |
| DOI: | 10.1007/978-1-4471-0021-8 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Tweddle, Ian |
| author_facet | Tweddle, Ian |
| author_role | aut |
| author_sort | Tweddle, Ian |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| dewey-sort | 3510.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4471-0021-8 |
| era | Geschichte 1730 gnd |
| era_facet | Geschichte 1730 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781447100218 9781447111276 |
| language | English |
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| spelling | Tweddle, Ian Verfasser aut James Stirling’s Methodus Differentialis An Annotated Translation of Stirling’s Text by Ian Tweddle London Springer London 2003 1 Online-Ressource (VIII, 296 p) txt rdacontent c rdamedia cr rdacarrier Sources and Studies in the History of Mathematics and Physical Sciences James Stirling's "Methodus Differentialis" is one of the early classics of numerical analysis. It contains not only the results and ideas for which Stirling is chiefly remembered, for example, Stirling numbers and Stirling's asymptotic formula for factorials, but also a wealth of material on transformations of series and limiting processes. An impressive collection of examples illustrates the efficacy of Stirling's methods by means of numerical calculations, and some germs of later ideas, notably the Gamma function and asymptotic series, are also to be found. This volume presents a new translation of Stirling's text that features an extensive series of notes in which Stirling's results and calculations are analysed and historical background is provided. Ian Tweddle places the text in its contemporary context, but also relates the material to the interests of practising mathematicians today. Clear and accessible, this book will be of interest to mathematical historians, researchers and numerical analysts Geschichte 1730 gnd rswk-swf Mathematics Global analysis (Mathematics) Numerical analysis History of Mathematical Sciences Analysis Numerical Analysis Mathematik Quelle (DE-588)4135952-5 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s Geschichte 1730 z Quelle (DE-588)4135952-5 s 1\p DE-604 https://doi.org/10.1007/978-1-4471-0021-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tweddle, Ian James Stirling’s Methodus Differentialis An Annotated Translation of Stirling’s Text Mathematics Global analysis (Mathematics) Numerical analysis History of Mathematical Sciences Analysis Numerical Analysis Mathematik Quelle (DE-588)4135952-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4135952-5 (DE-588)4042805-9 |
| title | James Stirling’s Methodus Differentialis An Annotated Translation of Stirling’s Text |
| title_auth | James Stirling’s Methodus Differentialis An Annotated Translation of Stirling’s Text |
| title_exact_search | James Stirling’s Methodus Differentialis An Annotated Translation of Stirling’s Text |
| title_full | James Stirling’s Methodus Differentialis An Annotated Translation of Stirling’s Text by Ian Tweddle |
| title_fullStr | James Stirling’s Methodus Differentialis An Annotated Translation of Stirling’s Text by Ian Tweddle |
| title_full_unstemmed | James Stirling’s Methodus Differentialis An Annotated Translation of Stirling’s Text by Ian Tweddle |
| title_short | James Stirling’s Methodus Differentialis |
| title_sort | james stirling s methodus differentialis an annotated translation of stirling s text |
| title_sub | An Annotated Translation of Stirling’s Text |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis History of Mathematical Sciences Analysis Numerical Analysis Mathematik Quelle (DE-588)4135952-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis History of Mathematical Sciences Analysis Numerical Analysis Mathematik Quelle Numerische Mathematik |
| url | https://doi.org/10.1007/978-1-4471-0021-8 |
| work_keys_str_mv | AT tweddleian jamesstirlingsmethodusdifferentialisanannotatedtranslationofstirlingstext |