Polynomial Root-finding and Polynomiography

Released on by Bahman Kalantari
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  • Polynomial Root-finding and Polynomiography Book Detail

  • Author : Bahman Kalantari
  • Release Date : 2009
  • Publisher : World Scientific
  • Genre : Computers
  • Pages : 492
  • ISBN 13 : 9812700595
  • File Size : 66,66 MB
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Polynomial Root-finding and Polynomiography by Bahman Kalantari PDF Summary

Book Description: This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.

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Polynomial Root-finding and Polynomiography

Polynomial Root-finding and Polynomiography

File Size : 13,13 MB
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This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field v

Numerical Methods for Roots of Polynomials

Numerical Methods for Roots of Polynomials

File Size : 56,56 MB
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This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newtons, as well as numerous variations on them invent