Coverart for item
The Resource Polynomial root-finding and polynomiography, Bahman Kalantari, (electronic resource)

Polynomial root-finding and polynomiography, Bahman Kalantari, (electronic resource)

Label
Polynomial root-finding and polynomiography
Title
Polynomial root-finding and polynomiography
Statement of responsibility
Bahman Kalantari
Creator
Subject
Genre
Language
eng
http://library.link/vocab/creatorName
Kalantari, Bahman
Dewey number
512.9/422
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Polynomials
  • Visualization
  • Recurrent sequences (Mathematics)
  • Computer graphics
Label
Polynomial root-finding and polynomiography, Bahman Kalantari, (electronic resource)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 449-457) and index
Color
multicolored
Contents
Approximation of square-roots and their visualizations -- The fundamental theorem of algebra and a special case of Taylor's 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 Taylor's theorem and Newton's 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 recurrence relations -- Applications of polynomiography in art, education, science, and mathematics -- Approximation of square-roots revisited -- Further applications and extensions of the basic family and polynomiography
Control code
ocn555793172
Dimensions
unknown
Extent
1 online resource (xxiii, 467 pages)
File format
unknown
Form of item
online
Isbn
9789812811837
Level of compression
unknown
Note
eBooks on EBSCOhost
Other physical details
illustrations (some color)
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)555793172
Label
Polynomial root-finding and polynomiography, Bahman Kalantari, (electronic resource)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 449-457) and index
Color
multicolored
Contents
Approximation of square-roots and their visualizations -- The fundamental theorem of algebra and a special case of Taylor's 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 Taylor's theorem and Newton's 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 recurrence relations -- Applications of polynomiography in art, education, science, and mathematics -- Approximation of square-roots revisited -- Further applications and extensions of the basic family and polynomiography
Control code
ocn555793172
Dimensions
unknown
Extent
1 online resource (xxiii, 467 pages)
File format
unknown
Form of item
online
Isbn
9789812811837
Level of compression
unknown
Note
eBooks on EBSCOhost
Other physical details
illustrations (some color)
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)555793172

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