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Some remarks on Taylor’s polynomials visualization using Mathematica in context of function approximation. (English) Zbl 1383.97008
Kotsireas, Ilias S. (ed.) et al., Applications of computer algebra, Kalamata, Greece, July 20–23, 2015. Cham: Springer (ISBN 978-3-319-56930-7/hbk; 978-3-319-56932-1/ebook). Springer Proceedings in Mathematics & Statistics 198, 487-498 (2017).
Summary: In this paper the authors critically analyse popular way of graphic presentation Taylor’s polynomials in context of function approximation. They discuss the difficulties of presentation the best local polynomial approximation of function by Taylor’s polynomials. Proposed by the authors method of graphical presentation based on table of function and Taylor’s polynomials values in neighbourhood of a chosen point. For graphical presentation ListPlot and Plot functions with logarithmic scale in Mathematica System are used.
For the entire collection see [Zbl 1379.13001].
MSC:
97I40 Differential calculus (educational aspects)
97I30 Sequences and series (educational aspects)
97U70 Technological tools, calculators (aspects of mathematics education)
41A10 Approximation by polynomials
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry
Software:
Mathematica
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References:
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