POLYNOMIAL ROOT-FINDING AND POLYNOMIOGRAPHY

Ana sayfa
Matematik
POLYNOMIAL ROOT-FINDING AND POLYNOMIOGRAPHY

Yazar	: KALANTARI BAHMAN
Yayınevi	: World Scientific Publishing
ISBN	: 9789812700599
Baskı yılı	: 2009
Sayfa sayısı	: 492
Ağırlık	: 0.86 kg
Stok durumu	: Var Stok detayları
Kargoya teslim	: Aynı gün kargo

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.

		Preface
		Introduction
		Approximation of Square-Roots and Their Visualizations
		The Fundamental Theorem of Algebra and a Special Case of Taylors Theorem
		Introduction to the Basic Family and Polynomiography
		Equivalent Formulations of the Basic Family
		Basic Family as Dynamical System
		Fixed Points of the Basic Family
		Algebraic Derivation of the Basic Family and Characterizations
		The Truncated Basic Family and the Case of Halley Family
		Characterizations of Solutions of Homogeneous Linear Recurrence Relations
		Generalization of Taylors Theorem and Newtons Method
		The Multipoint Basic Family and Its Order of Convergence
		A Computational Study of the Multipoint Basic Family
		A General Determinantal Lower Bound
		Formulas for Approximation of Pi Based on Root-Finding Algorithms
		Bounds on Roots of Polynomials and Analytic Functions
		A Geometric Optimization and Its Algebraic Offsprings
		Polynomiography: Algorithms for Visualization of Polynomial Equations
		Visualization of Homogeneous Linear Recurrenc
		Applications of Polynomiography in Art, Education, Science and Mathematics
		Approximation of Square-Roots Revisited
		Further Applications and Extensions of the Basic Family and Polynomiography
		Bibliography
		Index

Axess
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	8623.84 TL
2 ay	4462.84 TL	8925.68 TL
3 ay	3032.72 TL	9098.15 TL
6 ay	1616.97 TL	9701.82 TL
9 ay	1149.85 TL	10348.61 TL
12 ay	930.66 TL	11167.88 TL

cardFinans
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	8623.84 TL
2 ay	4462.84 TL	8925.68 TL
3 ay	3032.72 TL	9098.15 TL
6 ay	1616.97 TL	9701.82 TL
9 ay	1149.85 TL	10348.61 TL
12 ay	930.66 TL	11167.88 TL

Bonus
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	8623.84 TL
2 ay	4462.84 TL	8925.68 TL
3 ay	3032.72 TL	9098.15 TL
6 ay	1616.97 TL	9701.82 TL
9 ay	1149.85 TL	10348.61 TL
12 ay	930.66 TL	11167.88 TL

World
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	8623.84 TL
2 ay	4462.84 TL	8925.68 TL
3 ay	3032.72 TL	9098.15 TL
6 ay	1616.97 TL	9701.82 TL
9 ay	1149.85 TL	10348.61 TL
12 ay	930.66 TL	11167.88 TL

Maximum
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	8623.84 TL
2 ay	4462.84 TL	8925.68 TL
3 ay	3032.72 TL	9098.15 TL
6 ay	1616.97 TL	9701.82 TL
9 ay	1149.85 TL	10348.61 TL
12 ay	930.66 TL	11167.88 TL

Paraf
Taksit	Taksit Tutarı	Toplam Tutar
Tek çekim	-	8623.84 TL
2 ay	4462.84 TL	8925.68 TL
3 ay	3032.72 TL	9098.15 TL
6 ay	1616.97 TL	9701.82 TL
9 ay	1149.85 TL	10348.61 TL
12 ay	930.66 TL	11167.88 TL