You are here

A Derivation of Taylor's Formula with Integral Remainder

by Dimitri Kountourogiannis and Paul Loya (Binghamton University)

This article originally appeared in:
Mathematics Magazine
June, 2003

Subject classification(s): Calculus | Several Variable Calculus | Multiple Integrals | Single Variable Calculus | Series
Applicable Course(s): 3.0 Calculus | 3.3 Mainstream Calculus III, IV

The authors give a derivation of the integral remainder formula in Taylor's Theorem using change of order in an iterated multiple integral.


A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Capsule Course Topic(s):
Multivariable Calculus | Double Integrals, Applications
Multivariable Calculus | Triple Integrals
Average: 2.9 (81 votes)