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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Taylor & Francis Group
2018-01-01
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Series: | Cogent Education |
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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. |
first_indexed | 2024-03-12T10:05:45Z |
format | Article |
id | doaj.art-c8baca416b7e4f85acfd3dcda9c6a8c5 |
institution | Directory Open Access Journal |
issn | 2331-186X |
language | English |
last_indexed | 2024-03-12T10:05:45Z |
publishDate | 2018-01-01 |
publisher | Taylor & Francis Group |
record_format | Article |
series | Cogent Education |
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 |
work_keys_str_mv | AT victoroxman findingextremawithoutresortingtocalculus AT moshestupel findingextremawithoutresortingtocalculus AT jaymjahangiri findingextremawithoutresortingtocalculus |