Maclaurin series

English Etymology Named after Scottish mathematician Colin Maclaurin (1698-1746), who made extensive use of the series. Noun * en calculus Any Taylor series that is centred at 0 (i.e., for which the origin is the reference point used to derive the series from its associated function); for a given infinitely differentiable complex function , the power series . en 1953 w:Raymond Lyttleton The Stability of Rotating Liquid Masses Paperback https://books.google.com.au/books?id=aBO9vOoIsA8C&pg=PA42&dq=%22maclaurin+series%22&hl=en&sa=X&ved=0ahUKEwjvwYqr3NDWAhXFKpQKHdeKBe4Q6AEIywIwMA#v=onepage&q=%22maclaurin%20series%22&f=false 42 w:Cambridge University Press 2013 Analytically there are, of course, two Jacobi series branching off the Maclaurin series, but they are geometrically and physically identical, and involve only an interchange of a and b. 1995, Ralph P. Boas, Gerald L. Alexanderson (editor), Dale H. Mugler (editor), Lion Hunting and Other Mathematical Pursuits, Mathematical Association of America, page 88, If the Maclaurin series of f and g converge for |z| < r and g(z) ≠ 0 for 0 ≤ |z| < r, then if the Maclaurin series for f is divided by the Maclaurin series for g by long division (as if the series were polynomials), the resulting series represents f / g for |z| < r. en 1997 Frank Smithies Cauchy and the Creation of Complex Function Theory https://books.google.com.au/books?id=RWf3-PwokpMC&pg=PA203&dq=%22maclaurin+series%22&hl=en&sa=X&ved=0ahUKEwjvwYqr3NDWAhXFKpQKHdeKBe4Q6AEIkAQwUQ#v=onepage&q=%22maclaurin%20series%22&f=false 203 w:Cambridge University Press It was almost as a by-product of this work that, in the first Turin memoir, he proved the convergence of the Maclaurin series of a function up to the singularity nearest to the origin (Section 7.5); it was in this context that he created what he called 'calculus of limits', later known as the method of majorants. Hypernyms Taylor series centred at 0 en power series, en Taylor series Translations Taylor series centred at 0 Asturian: ast serie de Maclaurin f Bulgarian: bg ред на Маклорен m Catalan: ca sèrie de Maclaurin f Chinese: Mandarin: cmn 麥克勞林級數 Mainland China, cmn 馬克勞林級數 Taiwan Danish: da Maclaurinrække Finnish: fi Maclaurinin sarja French: fr série de Maclaurin f Galician: gl serie de Maclaurin f German: de Maclaurin-Reihe f, de maclaurinsche Reihe f Hungarian: hu Maclaurin-sor Italian: it serie di Maclaurin f Japanese: ja マクローリン級数 Polish: pl szereg Maclaurina m Portuguese: pt série de Maclaurin f Romanian: ro serie Maclaurin f Spanish: es serie de Maclaurin f en eponyms