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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Algebra

• Plný název: Polynomial Root-finding And Polynomiography
• Autor: Bahman Kalantari
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 492
• EAN: 9789812700599
• ISBN: 9812700595
• ID: 05068583
• Nakladatelství: World Scientific Publishing Co Pte Ltd
• Hmotnost: 868 g
• Rozměry: 162 × 236 × 26 mm
• Datum vydání: 09. December 2008

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