000 -LEADER |
fixed length control field |
03723nam a2200577 i 4500 |
001 - CONTROL NUMBER |
control field |
6812570 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
IEEE |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20200413152851.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
fixed length control field |
m eo d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr cn |||m|||a |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
081013s2008 caua foa 001 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781598298055 (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781598298048 (pbk.) |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.2200/S00146ED1V01Y200808MAS002 |
Source of number or code |
doi |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
(CaBNVSL)gtp00531467 |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
(OCoLC)269366527 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
CaBNVSL |
Transcribing agency |
CaBNVSL |
Modifying agency |
CaBNVSL |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA371 |
Item number |
.W455 2008 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.35 |
Edition number |
22 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Weintraub, Steven H. |
245 10 - TITLE STATEMENT |
Title |
Jordan canonical form |
Medium |
[electronic resource] : |
Remainder of title |
application to differential equations / |
Statement of responsibility, etc. |
Steven H. Weintraub. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : |
Name of publisher, distributor, etc. |
Morgan & Claypool Publishers, |
Date of publication, distribution, etc. |
c2008. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
1 electronic text (viii, 85 p. : ill.) : |
Other physical details |
digital file. |
490 1# - SERIES STATEMENT |
Series statement |
Synthesis lectures on mathematics and statistics ; |
Volume/sequential designation |
#2 |
538 ## - SYSTEM DETAILS NOTE |
System details note |
Mode of access: World Wide Web. |
538 ## - SYSTEM DETAILS NOTE |
System details note |
System requirements: Adobe Acrobat Reader. |
500 ## - GENERAL NOTE |
General note |
Part of: Synthesis digital library of engineering and computer science. |
500 ## - GENERAL NOTE |
General note |
Series from website. |
500 ## - GENERAL NOTE |
General note |
Includes index. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Jordan canonical form -- The diagonalizable case -- The general case -- Solving systems of linear differential equations -- Homogeneous systems with constant coefficients -- Homogeneous systems with constant coefficients -- Inhomogeneous systems with constant coefficients -- The matrix exponential -- Background results -- A.1. Bases, coordinates, and matrices -- A.2. Properties of the complex exponential -- B. Answers to odd-numbered exercises. |
506 1# - RESTRICTIONS ON ACCESS NOTE |
Terms governing access |
Abstract freely available; full-text restricted to subscribers or individual document purchasers. |
510 0# - CITATION/REFERENCES NOTE |
Name of source |
Compendex |
510 0# - CITATION/REFERENCES NOTE |
Name of source |
INSPEC |
510 0# - CITATION/REFERENCES NOTE |
Name of source |
Google scholar |
510 0# - CITATION/REFERENCES NOTE |
Name of source |
Google book search |
520 ## - SUMMARY, ETC. |
Summary, etc. |
Jordan Canonical Form ( JCF) is one of the most important, and useful, concepts in linear algebra. In this book we develop JCF and show how to apply it to solving systems of differential equations. We first develop JCF, including the concepts involved in it-eigenvalues, eigenvectors, and chains of generalized eigenvectors. We begin with the diagonalizable case and then proceed to the general case, but we do not present a complete proof. Indeed, our interest here is not in JCF per se, but in one of its important applications. We devote the bulk of our attention in this book to showing how to apply JCF to solve systems of constant-coefficient first order differential equations, where it is a very effective tool. We cover all situations-homogeneous and inhomogeneous systems; real and complex eigenvalues. We also treat the closely related topic of the matrix exponential. Our discussion is mostly confined to the 2-by-2 and 3-by-3 cases, and we present a wealth of examples that illustrate all the possibilities in these cases (and of course, a wealth of exercises for the reader). |
530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
Additional physical form available note |
Also available in print. |
588 ## - SOURCE OF DESCRIPTION NOTE |
Source of description note |
Title from PDF t.p. (viewed on October 15, 2008). |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Jordan matrix. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Differential equations. |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) |
Topical term or geographic name as entry element |
Jordan Canonical Form. |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) |
Topical term or geographic name as entry element |
Linear algebra. |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) |
Topical term or geographic name as entry element |
Differential equations. |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) |
Topical term or geographic name as entry element |
Eigenvalues. |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) |
Topical term or geographic name as entry element |
Eigenvectors. |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) |
Topical term or geographic name as entry element |
Generalized eigenvectors. |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) |
Topical term or geographic name as entry element |
Matrix exponential. |
730 0# - ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Synthesis digital library of engineering and computer science. |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Synthesis lectures on mathematics and statistics ; |
Volume/sequential designation |
#2. |
856 42 - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Abstract with links to resource |
Uniform Resource Identifier |
http://ieeexplore.ieee.org/servlet/opac?bknumber=6812570 |