versions of Taylor's theorem, some giving explicit estimates of the approximation error of the function by its Taylor polynomial. Taylor's theorem is named...

denoted by the function Rn(x). Taylor's theorem can be used to obtain a bound on the size of the remainder. In general, Taylor series need not be convergent...

several results in mathematical analysis. Taylor's most famous developments are Taylor's theorem and the Taylor series, essential in the infinitesimal approach...

Wiles and Richard Taylor proved the modularity theorem for semistable elliptic curves, which was enough to imply Fermat's Last Theorem. Later, a series...

Rolle's theorem is used to prove the mean value theorem, of which Rolle's theorem is indeed a special case. It is also the basis for the proof of Taylor's theorem...

D = d d x {\displaystyle D={d \over dx}} is an operator version of Taylor's theorem — and is therefore only valid under caveats about f being an analytic...

mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem. Roughly speaking, the theorem asserts that if A is a closed subset...

value theorem Differential equation Differential operator Newton's method Taylor's theorem L'Hôpital's rule General Leibniz rule Mean value theorem Logarithmic...

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each...

Taylor's of Loughborough, or Taylor's, in England Taylor Company, a maker of foodservice equipment owned by Middleby Corporation Taylor's theorem, in...