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A Derivation of Taylor's Formula with Integral Remainder

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

Old Node ID: 
1672
Author(s): 
Dimitri Kountourogiannis and Paul Loya (Binghamton University)
Publication Date: 
Tuesday, November 13, 2007
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
June, 2003
Subject(s): 
Calculus
Several Variable Calculus
Multiple Integrals
Single Variable Calculus
Series
Topic(s): 
Double Integrals, Applications
Triple Integrals
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
80.00
Rating Sum: 
232.00
Rating Average: 
2.90
Author (old format): 
Dimitri Kountourogiannis and Paul Loya
Applicable Course(s): 
3.0 Calculus
3.3 Mainstream Calculus III, IV
Modify Date: 
Thursday, August 9, 2012
Average: 2.9 (80 votes)

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