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Focusing on numerical analysis, James Stirling's "Methodus Differentialis" presents foundational concepts such as Stirling numbers and an asymptotic formula for factorials. The work delves into transformations of series and limiting processes, supported by numerous examples that showcase the practical application of Stirling's techniques. Additionally, it hints at future developments in mathematics, including the Gamma function and asymptotic series, making it a significant contribution to the field.
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James Stirlings Methodus Differentialis, Ian Tweddle
- Language
- Released
- 2012
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- Title
- James Stirlings Methodus Differentialis
- Subtitle
- An Annotated Translation of Stirlings Text
- Language
- English
- Authors
- Ian Tweddle
- Publisher
- Springer London
- Publisher
- 2012
- Format
- Paperback
- Pages
- 308
- ISBN13
- 9781447111276
- Category
- Mathematics
- Description
- Focusing on numerical analysis, James Stirling's "Methodus Differentialis" presents foundational concepts such as Stirling numbers and an asymptotic formula for factorials. The work delves into transformations of series and limiting processes, supported by numerous examples that showcase the practical application of Stirling's techniques. Additionally, it hints at future developments in mathematics, including the Gamma function and asymptotic series, making it a significant contribution to the field.