Polynomial root-finding and polynomiography:
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 wi...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2009
|
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | xxiii, 467 p. ill. (some col.) |
| ISBN: | 9789812811837 |
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| 520 | |a 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 | ||
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| author | Kalantari, Bahman |
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| 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.BV044636230 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812811837 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034200 |
| oclc_num | 1012621807 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xxiii, 467 p. ill. (some col.) |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Kalantari, Bahman Verfasser aut Polynomial root-finding and polynomiography Bahman Kalantari Singapore World Scientific Pub. Co. c2009 xxiii, 467 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier 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 Polynomials Visualization Recurrent sequences (Mathematics) Computer graphics Erscheint auch als Druck-Ausgabe 9789812700599 (hbk.) Erscheint auch als Druck-Ausgabe 9812700595 (hbk.) http://www.worldscientific.com/worldscibooks/10.1142/6265#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Kalantari, Bahman Polynomial root-finding and polynomiography 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 | Polynomials Visualization Recurrent sequences (Mathematics) Computer graphics |
| topic_facet | Polynomials Visualization Recurrent sequences (Mathematics) Computer graphics |
| url | http://www.worldscientific.com/worldscibooks/10.1142/6265#t=toc |
| work_keys_str_mv | AT kalantaribahman polynomialrootfindingandpolynomiography |