Finding extrema without resorting to calculus

The article is dedicated to solving extrema problems in teaching mathematics, without using calculus. We present and discuss a wide variety of mathematical extrema tasks where the extrema are obtained and find their solutions without resorting to differential. Particular attention is paid to the rol...

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Bibliographic Details
Main Authors: Victor Oxman, Moshe Stupel, Jay M. Jahangiri
Format: Article
Language:English
Published: Taylor & Francis Group 2018-01-01
Series:Cogent Education
Subjects:
Online Access:http://dx.doi.org/10.1080/2331186X.2018.1551299
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author Victor Oxman
Moshe Stupel
Jay M. Jahangiri
author_facet Victor Oxman
Moshe Stupel
Jay M. Jahangiri
author_sort Victor Oxman
collection DOAJ
description The article is dedicated to solving extrema problems in teaching mathematics, without using calculus. We present and discuss a wide variety of mathematical extrema tasks where the extrema are obtained and find their solutions without resorting to differential. Particular attention is paid to the role of arithmetic and geometric means inequality in solving these problems.
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spelling doaj.art-c8baca416b7e4f85acfd3dcda9c6a8c52023-09-02T11:20:45ZengTaylor & Francis GroupCogent Education2331-186X2018-01-015110.1080/2331186X.2018.15512991551299Finding extrema without resorting to calculusVictor Oxman0Moshe Stupel1Jay M. Jahangiri2Western Galilee CollegeShaanan College, Gordon CollegeKent State UniversityThe article is dedicated to solving extrema problems in teaching mathematics, without using calculus. We present and discuss a wide variety of mathematical extrema tasks where the extrema are obtained and find their solutions without resorting to differential. Particular attention is paid to the role of arithmetic and geometric means inequality in solving these problems.http://dx.doi.org/10.1080/2331186X.2018.1551299mathematical extrema problemscalculusarithmetic and geometric mean inequality
spellingShingle Victor Oxman
Moshe Stupel
Jay M. Jahangiri
Finding extrema without resorting to calculus
Cogent Education
mathematical extrema problems
calculus
arithmetic and geometric mean inequality
title Finding extrema without resorting to calculus
title_full Finding extrema without resorting to calculus
title_fullStr Finding extrema without resorting to calculus
title_full_unstemmed Finding extrema without resorting to calculus
title_short Finding extrema without resorting to calculus
title_sort finding extrema without resorting to calculus
topic mathematical extrema problems
calculus
arithmetic and geometric mean inequality
url http://dx.doi.org/10.1080/2331186X.2018.1551299
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AT moshestupel findingextremawithoutresortingtocalculus
AT jaymjahangiri findingextremawithoutresortingtocalculus