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Polynomial root-finding and polynomiography
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Polynomial root-finding and polynomiography
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eBook
Polynomial root-finding and polynomiography
2009,2008
Overview
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.
Publisher
World Scientific Publishing Co. Pte. Ltd,World Scientific,World Scientific Publishing Company,WORLD SCIENTIFIC,World Scientific Publishing
Subject
ISBN
9812700595, 9789812700599
