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  • 标题:Insight into the Fractional Calculus via a Spreadsheet
  • 本地全文:下载
  • 作者:Miller, David A ; Sugden, Stephen J
  • 期刊名称:Spreadsheets in Education (eJSiE)
  • 印刷版ISSN:1448-6156
  • 出版年度:2009
  • 卷号:3
  • 期号:2
  • 页码:4
  • 出版社:Bond University
  • 摘要:Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins by stating a naive question from a student in a paper by Larson (1974) and establishes, for polynomials and exponential functions, that they can be deformed into their derivative using the μ-th order fractional derivatives for 0<μ<1. Through the power of Excel we illustrate the continuous deformations dynamically through conditional formatting. Some applications are discussed and a connection made to mathematics education. 2009 HERDC submission. FoR code: 0103
  • 关键词:Spreadsheet; fractional calculus; mathematics education
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