Polynomial Root-Finding and Polynomiography by Bahman Kalantari
Polynomial Root-Finding and Polynomiography

Polynomial Root-Finding and Polynomiography


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About the Book

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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Product Details
  • ISBN-13: 9789812700599
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Height: 231 mm
  • No of Pages: 492
  • Series Title: English
  • Weight: 911 gr
  • ISBN-10: 9812700595
  • Publisher Date: 09 Dec 2008
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Spine Width: 25 mm
  • Width: 155 mm


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