MARC details
| 000 -LEADER |
|---|
| fixed length control field |
06169cam a2200697 a 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
ocn555793172 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20240925133245.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
|---|
| fixed length control field |
m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
|---|
| fixed length control field |
cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
100316s2009 si a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
N$T |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
N$T |
| Modifying agency |
OSU |
| -- |
EBLCP |
| -- |
IDEBK |
| -- |
E7B |
| -- |
OCLCQ |
| -- |
M6U |
| -- |
OCLCQ |
| -- |
YDXCP |
| -- |
DEBSZ |
| -- |
OCLCA |
| -- |
OCLCQ |
| -- |
NLGGC |
| -- |
OCLCQ |
| -- |
OCLCF |
| -- |
OCLCQ |
| -- |
AZK |
| -- |
AGLDB |
| -- |
MOR |
| -- |
PIFAG |
| -- |
ZCU |
| -- |
MERUC |
| -- |
OCLCQ |
| -- |
U3W |
| -- |
STF |
| -- |
WRM |
| -- |
VTS |
| -- |
ICG |
| -- |
INT |
| -- |
NRAMU |
| -- |
VT2 |
| -- |
AU@ |
| -- |
OCLCQ |
| -- |
JBG |
| -- |
WYU |
| -- |
TKN |
| -- |
OCLCQ |
| -- |
DKC |
| -- |
REC |
| -- |
OCLCQ |
| -- |
M8D |
| -- |
OCLCA |
| -- |
UKAHL |
| -- |
OCLCQ |
| -- |
LEAUB |
| -- |
UKCRE |
| -- |
AJS |
| -- |
OCLCO |
| -- |
OCLCQ |
| -- |
OCLCO |
| -- |
OCLCQ |
| -- |
OCLCL |
| -- |
SXB |
| 019 ## - |
|---|
| -- |
647853381 |
| -- |
696629599 |
| -- |
712987412 |
| -- |
764531015 |
| -- |
961549280 |
| -- |
962562225 |
| -- |
988410239 |
| -- |
992075074 |
| -- |
1037930365 |
| -- |
1038687959 |
| -- |
1045524048 |
| -- |
1058134413 |
| -- |
1058573644 |
| -- |
1063807382 |
| -- |
1081283744 |
| -- |
1086436649 |
| -- |
1153455995 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9789812811837 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9812811834 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9789812700599 |
| Qualifying information |
(hardcover ; |
| -- |
alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9812700595 |
| Qualifying information |
(hardcover ; |
| -- |
alk. paper) |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
305176 |
| -- |
(N$T) |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)555793172 |
| Canceled/invalid control number |
(OCoLC)647853381 |
| -- |
(OCoLC)696629599 |
| -- |
(OCoLC)712987412 |
| -- |
(OCoLC)764531015 |
| -- |
(OCoLC)961549280 |
| -- |
(OCoLC)962562225 |
| -- |
(OCoLC)988410239 |
| -- |
(OCoLC)992075074 |
| -- |
(OCoLC)1037930365 |
| -- |
(OCoLC)1038687959 |
| -- |
(OCoLC)1045524048 |
| -- |
(OCoLC)1058134413 |
| -- |
(OCoLC)1058573644 |
| -- |
(OCoLC)1063807382 |
| -- |
(OCoLC)1081283744 |
| -- |
(OCoLC)1086436649 |
| -- |
(OCoLC)1153455995 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA161.P59 |
| Item number |
K35 2009eb |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT |
| Subject category code subdivision |
002030 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.9/422 |
| Edition number |
22 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Kalantari, Bahman. |
| 9 (RLIN) |
50556 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Polynomial root-finding and polynomiography / |
| Statement of responsibility, etc. |
Bahman Kalantari. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Singapore ; |
| -- |
Hackensack, NJ : |
| Name of publisher, distributor, etc. |
World Scientific, |
| Date of publication, distribution, etc. |
©2009. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (xxiii, 467 pages) : |
| Other physical details |
illustrations (some color) |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages 449-457) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| 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# - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Print version record. |
| 520 ## - SUMMARY, ETC. |
|---|
| 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) |
|---|
| Local note |
Added to collection customer.56279.3 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polynomials. |
| 9 (RLIN) |
4540 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Visualization. |
| 9 (RLIN) |
1852 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Recurrent sequences (Mathematics) |
| 9 (RLIN) |
216153 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Computer graphics. |
| 9 (RLIN) |
371 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polynômes. |
| 9 (RLIN) |
71113 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Visualisation. |
| 9 (RLIN) |
27556 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Suites récurrentes (Mathématiques) |
| 9 (RLIN) |
1015991 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Infographie. |
| 9 (RLIN) |
19094 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
computer graphics. |
| Source of heading or term |
aat |
| 9 (RLIN) |
371 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Algebra |
| -- |
Elementary. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
20025 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Computer graphics |
| Source of heading or term |
fast |
| 9 (RLIN) |
371 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polynomials |
| Source of heading or term |
fast |
| 9 (RLIN) |
4540 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Recurrent sequences (Mathematics) |
| Source of heading or term |
fast |
| 9 (RLIN) |
216153 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Visualization |
| Source of heading or term |
fast |
| 9 (RLIN) |
1852 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Visualisation. |
| Source of heading or term |
ram |
| 9 (RLIN) |
27556 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polynômes. |
| Source of heading or term |
ram |
| 9 (RLIN) |
71113 |
| 655 #4 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Electronic books. |
| 9 (RLIN) |
396 |
| 758 ## - |
|---|
| -- |
has work: |
| -- |
Polynomial root-finding and polynomiography (Text) |
| -- |
https://id.oclc.org/worldcat/entity/E39PCGMB96RHV69HvK8cBgYwYP |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
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 |
|---|
| Materials specified |
EBSCOhost |
| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305176">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305176</a> |
| 938 ## - |
|---|
| -- |
Askews and Holts Library Services |
| -- |
ASKH |
| -- |
AH24685648 |
| 938 ## - |
|---|
| -- |
EBL - Ebook Library |
| -- |
EBLB |
| -- |
EBL477169 |
| 938 ## - |
|---|
| -- |
EBSCOhost |
| -- |
EBSC |
| -- |
305176 |
| 938 ## - |
|---|
| -- |
YBP Library Services |
| -- |
YANK |
| -- |
3161612 |
| 994 ## - |
|---|
| -- |
92 |
| -- |
N$T |