Basic Review and Elementary Facts

Michael J. Cloud, Byron C. Drachman and Leonid P. Lebedev
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Michael J. Cloud: Lawrence Technological University, Department of Electrical Engineering
Byron C. Drachman: Michigan State University, Department of Mathematics
Leonid P. Lebedev: National University of Colombia, Department of Mathematics

Chapter Chapter 1 in Inequalities, 2014, pp 1-31 from Springer

Abstract: Abstract Inequalities lie at the heart of mathematical analysis. They appear in the definitions of continuity and limit (and hence in the definitions of the integral and the derivative). They play crucial roles in generalizing the notions of distance and vector magnitude. But many problems of physical interest also rely on simple inequality concepts for their solution. In engineering, it is not always best to think in terms of equality. Let us illustrate this statement with a few examples.

Keywords: Triangle Inequality; Positive Real Number; Product Space; Schwarz Inequality; Mathematical Induction (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-05311-0_1

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