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Some Remarks on Taylor’s Polynomials Visualization Using Mathematica in Context of Function Approximation

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Applications of Computer Algebra (ACA 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 198))

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Abstract

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.

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Correspondence to Włodzimierz Wojas .

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Wojas, W., Krupa, J. (2017). Some Remarks on Taylor’s Polynomials Visualization Using Mathematica in Context of Function Approximation. In: Kotsireas, I., Martínez-Moro, E. (eds) Applications of Computer Algebra. ACA 2015. Springer Proceedings in Mathematics & Statistics, vol 198. Springer, Cham. https://doi.org/10.1007/978-3-319-56932-1_31

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