Inequalities: With Applications to Engineering
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1998
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | We might wonder why it is necessary to study inequalities. Many applied science and engineering problems, for instance, can be pursued without their explicit mention. Nevertheless, a facility with inequalities seems to be necessary for an understanding of much of mathematics at intermediate and higher levels. Inequalities serve a natural purpose of comparison, and they sometimes a?ord us indirect routes of reasoning or problem solving when more direct routes might be inconvenient or unavailable. Thissmallguidetoinequalitieswasoriginallywrittenwithengineersand otherappliedscientistsinmind.Commentsfromthosemathematicianswho have seen the manuscript lead us to hope that some mathematicians will ?nd some of the applications interesting, and that students of mathematics will also ?nd the book useful. It is intended to help ?ll the gap between college-algebra treatments of inequalities and the formidable treatises on the subject that exist in the mathematics literature. Important techniques are all reinforced through the exercises that appear at the end of each chapter,andhintsareincludedtoexpeditethereader’sprogress.Wereview a few topics from calculus, but make no attempt at a thorough review. In order to simplify the discussion, we use a stronger hypothesis than is necessary in some of the statements or proofs of theorems and in some of the exercises. For a review of calculus, we recommend the ?ne classic by Landau [37]. Among the many good books on analysis, we can recommend Stromberg [57] |
Beschreibung: | 1 Online-Ressource (VIII, 150 p) |
ISBN: | 9780387226262 9780387984049 |
DOI: | 10.1007/b97652 |
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Datensatz im Suchindex
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any_adam_object | |
author | Cloud, Michael J. |
author_facet | Cloud, Michael J. |
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author_sort | Cloud, Michael J. |
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dewey-ones | 510 - Mathematics |
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dewey-search | 510 |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/b97652 |
format | Electronic eBook |
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language | English |
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spelling | Cloud, Michael J. Verfasser aut Inequalities With Applications to Engineering by Michael J. Cloud, Byron C. Drachman New York, NY Springer New York 1998 1 Online-Ressource (VIII, 150 p) txt rdacontent c rdamedia cr rdacarrier We might wonder why it is necessary to study inequalities. Many applied science and engineering problems, for instance, can be pursued without their explicit mention. Nevertheless, a facility with inequalities seems to be necessary for an understanding of much of mathematics at intermediate and higher levels. Inequalities serve a natural purpose of comparison, and they sometimes a?ord us indirect routes of reasoning or problem solving when more direct routes might be inconvenient or unavailable. Thissmallguidetoinequalitieswasoriginallywrittenwithengineersand otherappliedscientistsinmind.Commentsfromthosemathematicianswho have seen the manuscript lead us to hope that some mathematicians will ?nd some of the applications interesting, and that students of mathematics will also ?nd the book useful. It is intended to help ?ll the gap between college-algebra treatments of inequalities and the formidable treatises on the subject that exist in the mathematics literature. Important techniques are all reinforced through the exercises that appear at the end of each chapter,andhintsareincludedtoexpeditethereader’sprogress.Wereview a few topics from calculus, but make no attempt at a thorough review. In order to simplify the discussion, we use a stronger hypothesis than is necessary in some of the statements or proofs of theorems and in some of the exercises. For a review of calculus, we recommend the ?ne classic by Landau [37]. Among the many good books on analysis, we can recommend Stromberg [57] Mathematics Mathematics, general Mathematik Ungleichung (DE-588)4139098-2 gnd rswk-swf Ungleichung (DE-588)4139098-2 s 1\p DE-604 Drachman, Byron C. Sonstige oth https://doi.org/10.1007/b97652 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Cloud, Michael J. Inequalities With Applications to Engineering Mathematics Mathematics, general Mathematik Ungleichung (DE-588)4139098-2 gnd |
subject_GND | (DE-588)4139098-2 |
title | Inequalities With Applications to Engineering |
title_auth | Inequalities With Applications to Engineering |
title_exact_search | Inequalities With Applications to Engineering |
title_full | Inequalities With Applications to Engineering by Michael J. Cloud, Byron C. Drachman |
title_fullStr | Inequalities With Applications to Engineering by Michael J. Cloud, Byron C. Drachman |
title_full_unstemmed | Inequalities With Applications to Engineering by Michael J. Cloud, Byron C. Drachman |
title_short | Inequalities |
title_sort | inequalities with applications to engineering |
title_sub | With Applications to Engineering |
topic | Mathematics Mathematics, general Mathematik Ungleichung (DE-588)4139098-2 gnd |
topic_facet | Mathematics Mathematics, general Mathematik Ungleichung |
url | https://doi.org/10.1007/b97652 |
work_keys_str_mv | AT cloudmichaelj inequalitieswithapplicationstoengineering AT drachmanbyronc inequalitieswithapplicationstoengineering |