MARC details
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06377cam a2200793Ia 4500 |
| 001 - CONTROL NUMBER |
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ocn555793172 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20220713014808.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100316s2009 si a ob 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| Canceled/invalid LC control number |
2008032272 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
N$T |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
N$T |
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OSU |
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EBLCP |
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IDEBK |
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E7B |
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OCLCQ |
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OCLCQ |
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DEBSZ |
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OCLCQ |
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OCLCO |
| 019 ## - |
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647853381 |
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696629599 |
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712987412 |
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764531015 |
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961549280 |
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962562225 |
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988410239 |
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992075074 |
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1037930365 |
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1038687959 |
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1045524048 |
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1058134413 |
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1058573644 |
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1063807382 |
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1081283744 |
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1086436649 |
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1153455995 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789812811837 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9812811834 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9789812700599 |
| Qualifying information |
(hardcover ; |
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alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9812700595 |
| Qualifying information |
(hardcover ; |
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alk. paper) |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000051403308 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBBG |
| System control number |
BV043120816 |
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| OCLC library identifier |
DEBBG |
| System control number |
BV044141369 |
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| OCLC library identifier |
DEBSZ |
| System control number |
379312719 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
421915528 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
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445567236 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
13862769 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)555793172 |
| Canceled/invalid control number |
(OCoLC)647853381 |
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(OCoLC)696629599 |
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(OCoLC)712987412 |
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(OCoLC)764531015 |
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(OCoLC)961549280 |
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(OCoLC)962562225 |
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(OCoLC)988410239 |
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(OCoLC)992075074 |
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(OCoLC)1037930365 |
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(OCoLC)1038687959 |
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(OCoLC)1045524048 |
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(OCoLC)1058134413 |
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(OCoLC)1058573644 |
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(OCoLC)1063807382 |
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(OCoLC)1081283744 |
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(OCoLC)1086436649 |
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(OCoLC)1153455995 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA161.P59 |
| Item number |
K35 2009eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
002030 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.9/422 |
| Edition number |
22 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Kalantari, Bahman. |
| 9 (RLIN) |
230543 |
| 245 10 - TITLE STATEMENT |
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| Title |
Polynomial root-finding and polynomiography / |
| Statement of responsibility, etc |
Bahman Kalantari. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Singapore ; |
| -- |
Hackensack, NJ : |
| Name of publisher, distributor, etc |
World Scientific, |
| Date of publication, distribution, etc |
©2009. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xxiii, 467 pages) : |
| Other physical details |
illustrations (some color) |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 449-457) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
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. |
| 588 0# - |
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| -- |
Print version record. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polynomials. |
| 9 (RLIN) |
128196 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Visualization. |
| 9 (RLIN) |
46791 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Recurrent sequences (Mathematics) |
| 9 (RLIN) |
230544 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Computer graphics. |
| 9 (RLIN) |
35976 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Polynômes. |
| 9 (RLIN) |
951770 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Visualisation. |
| 9 (RLIN) |
878689 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Suites récurrentes (Mathématiques) |
| 9 (RLIN) |
1446669 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Infographie. |
| 9 (RLIN) |
875639 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
computer graphics. |
| Source of heading or term |
aat |
| 9 (RLIN) |
35976 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Algebra |
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Elementary. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
878373 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Computer graphics. |
| Source of heading or term |
fast |
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(OCoLC)fst00872119 |
| 9 (RLIN) |
35976 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Polynomials. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01070715 |
| 9 (RLIN) |
128196 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Recurrent sequences (Mathematics) |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01091981 |
| 9 (RLIN) |
230544 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Visualization. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01168121 |
| 9 (RLIN) |
46791 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Visualisation. |
| Source of heading or term |
ram |
| 9 (RLIN) |
878689 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Polynômes. |
| Source of heading or term |
ram |
| 9 (RLIN) |
951770 |
| 655 #0 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| Main entry heading |
Kalantari, Bahman. |
| Title |
Polynomial root-finding and polynomiography. |
| Place, publisher, and date of publication |
Singapore ; Hackensack, NJ : World Scientific, ©2009 |
| International Standard Book Number |
9789812700599 |
| Record control number |
(DLC) 2008032272 |
| -- |
(OCoLC)235946095 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305176">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305176</a> |
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Askews and Holts Library Services |
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ASKH |
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AH24685648 |
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EBL - Ebook Library |
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EBLB |
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EBL477169 |
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ebrary |
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EBRY |
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ebr10361907 |
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EBSCOhost |
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EBSC |
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305176 |
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YBP Library Services |
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YANK |
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3161612 |
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INOPJ |
