Polynomial root-finding and polynomiography:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
©2009
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 449-457) and index 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 |
| Beschreibung: | 1 Online-Ressource (xxiii, 467 pages) |
| ISBN: | 9789812811837 9812811834 |
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| 650 | 4 | |a Recurrent sequences (Mathematics) | |
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Datensatz im Suchindex
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| dewey-full | 512.9/422 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/422 |
| dewey-search | 512.9/422 |
| dewey-sort | 3512.9 3422 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043120816 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:04Z |
| institution | BVB |
| isbn | 9789812811837 9812811834 |
| language | English |
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| physical | 1 Online-Ressource (xxiii, 467 pages) |
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| publishDate | 2009 |
| publishDateSearch | 2009 |
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| publisher | World Scientific |
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| spelling | Kalantari, Bahman Verfasser aut Polynomial root-finding and polynomiography Bahman Kalantari Singapore World Scientific ©2009 1 Online-Ressource (xxiii, 467 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 449-457) and index 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 MATHEMATICS / Algebra / Elementary bisacsh Visualisation ram Polynômes ram Polynomials Visualization Recurrent sequences (Mathematics) Computer graphics Erscheint auch als Druckausgabe 978-981-270-059-9 Erscheint auch als Druckausgabe 981-270-059-5 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305176 Aggregator Volltext |
| spellingShingle | Kalantari, Bahman Polynomial root-finding and polynomiography MATHEMATICS / Algebra / Elementary bisacsh Visualisation ram Polynômes ram Polynomials Visualization Recurrent sequences (Mathematics) Computer graphics |
| title | Polynomial root-finding and polynomiography |
| title_auth | Polynomial root-finding and polynomiography |
| title_exact_search | Polynomial root-finding and polynomiography |
| title_full | Polynomial root-finding and polynomiography Bahman Kalantari |
| title_fullStr | Polynomial root-finding and polynomiography Bahman Kalantari |
| title_full_unstemmed | Polynomial root-finding and polynomiography Bahman Kalantari |
| title_short | Polynomial root-finding and polynomiography |
| title_sort | polynomial root finding and polynomiography |
| topic | MATHEMATICS / Algebra / Elementary bisacsh Visualisation ram Polynômes ram Polynomials Visualization Recurrent sequences (Mathematics) Computer graphics |
| topic_facet | MATHEMATICS / Algebra / Elementary Visualisation Polynômes Polynomials Visualization Recurrent sequences (Mathematics) Computer graphics |
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