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POLYNOMIAL ROOT-FINDING & POLYNOMIOGRA..

By Kalantari Bahman

POLYNOMIAL ROOT-FINDING & POLYNOMIOGRA..

By Kalantari Bahman

- Default Title
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.
Product details
Edition:
illustrated
Number of Pages:
492
Release Date:
2009-03-31
Publication Date:
2008-12-09
Publisher:
World Scientific
Languages:
Original: English
ISBN10:
9812700595
ISBN13:
9789812700599
GPSR Manufacturer Reference:
[email protected]
Weight:
857 g
Height:
157 cm
Width:
235 cm
Thickness:
31 cm
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