Overview
- Authors:
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Michael J. Cloud
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Department of Electrical Engineering, Lawrence Technological University, Southfied, USA
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Byron C. Drachman
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Department of Mathematics, Michigan State University, East Lansing, USA
Applications-oriented approach, written by both a mathematician and an engineer * Topic specifically tailored to engineers and other applied scientists *
A "must have" for engineers who want to keep up with the latest mathematical knowledge * Bridges the gap between college-level presentations and formidable treatises found in the mathematics literature * Includes numerous exercises with hints at the end of every chapter
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Table of contents (5 chapters)
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Front Matter
Pages i-viii
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Back Matter
Pages 127-150
About this book
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].
Authors and Affiliations
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Department of Electrical Engineering, Lawrence Technological University, Southfied, USA
Michael J. Cloud
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Department of Mathematics, Michigan State University, East Lansing, USA
Byron C. Drachman
