Taylor polynomial
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English
Alternative forms
Noun
Taylor polynomial (plural Taylor polynomials)
- (mathematical analysis) A truncated Taylor series; the sum of the first n terms of a Taylor series.
- 1980, Donald W. Kahn, Introduction to Global Analysis, Academic Press, page 314:
- For example, if and , a singularity means the vanishing of the gradient, or equivalently, the linear terms of the Taylor's polynomial of some degree greater than 1. If one has a singularity, one may look at the second-order terms in the Taylor's polynomial.
- 1989, J. Berry, John Stephen Berry, A. Norcliffe, S. Humble, Introductory Mathematics Through Science Applications, Cambridge University Press, page 211:
- The polynomial approximation above for exp(x) is an example of a Taylor polynomial of degree 2 and in fact the polynomial approximations to sin(x) and cos(x) that we wrote down in Chapter 3 are also Taylor polynomials.
- 2007, Andrea Bonfiglioli, Ermanno Lanconelli, Francesco Uguzzoni, Stratified Lie Groups and Potential Theory for their Sub-Laplacians, Springer, page 733:
- Then, we introduce and investigate the Taylor polynomials and we prove suitable versions of the Lagrange mean value theorem and of the Taylor formula.
Translations
truncated Taylor series
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