Abstract
In this paper we give an historical synopsis of various Taylor remainders and their different proofs (without being exhaustive). We overview the formulas and the proofs given by such names as Bernoulli, Taylor, MacLaurin, Lagrange, Lacroix, Cauchy, Schlömilch, Roche, Cox, Turquan, Bourget, Koenig, Darboux, Amigues, Teixeira, Peano, Blumenthal, Wolfe and Gonçalves. We end the paper with a new Taylor remainder which generalizes the well-known Lagrange remainder.
Original language | English |
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Pages (from-to) | 1-21 |
Number of pages | 21 |
Journal | Note di Matematica |
Volume | 37 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |
Keywords
- History of Taylor remainder
- Lagrange remainder
- Taylor formula
- Taylor remainder
ASJC Scopus subject areas
- General Mathematics