On the Convexity of the Ovals of Lemniscates

Released on by Joseph Leonard Walsh
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  • On the Convexity of the Ovals of Lemniscates Book Detail

  • Author : Joseph Leonard Walsh
  • Release Date : 1961
  • Publisher :
  • Genre : Algebra
  • Pages : 26
  • ISBN 13 :
  • File Size : 46,46 MB
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On the Convexity of the Ovals of Lemniscates by Joseph Leonard Walsh PDF Summary

Book Description: A lemniscate is defined as a locus in the zplane P(z) = M, where P(z) is a polynomial not identically constant and M is a constant. This locus consists of one or more Jordan curves (branches of the lemniscate), which are mutually exterior except that each one of a finite number of points may belong to several branches. Each branch is sometimes called an oval, and the question arises whether these curves are actually ovals in the sense of being convex, at least when M is sufficiently small. (Author).

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Approximation and Computation

Approximation and Computation

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Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can in