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Basic Review and Elementary Facts

In: Inequalities

Author

Listed:
  • 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)

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.

Suggested Citation

  • Michael J. Cloud & Byron C. Drachman & Leonid P. Lebedev, 2014. "Basic Review and Elementary Facts," Springer Books, in: Inequalities, edition 2, chapter 0, pages 1-31, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-05311-0_1
    DOI: 10.1007/978-3-319-05311-0_1
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