In this paper we give an historical synopsis of various Taylor remainders and their di erent proofs (without being exhaustive). We overview the formulas and the proofs given by such names as Bernoulli, Taylor, MacLaurin, Lagrange, Lacroix, Cauchy, Schlomilch, Roche Cox, Turquan, Bourget, Koenig, Darboux, Amigues, Teixeira, Peano, Blumenthal, Wolfe and Gon calves. We end the paper with a new Taylor remainder which generalizes the well-known Lagrange remainder.
Tópico:
Algebraic and Geometric Analysis
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5
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Altmétricas:
0
Información de la Fuente:
FuenteNote di matematica/Note di matematica - Università degli studi di Lecce