MARC details
000 -LEADER |
fixed length control field |
06398cam a2200361 i 4500 |
001 - CONTROL NUMBER |
control field |
04624 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
GSU |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20231030144444.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
150427t20162016njua 001 0 eng |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2015016650 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781118909584 (cloth) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
1118909585 (cloth) |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Language of cataloging |
eng |
Transcribing agency |
DLC |
Description conventions |
rda |
Modifying agency |
DLC |
-- |
GSU |
042 ## - AUTHENTICATION CODE |
Authentication code |
pcc |
050 00 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA184.2 |
Item number |
PEN |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512/.5 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Penney, Richard C., |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Linear algebra : |
Remainder of title |
ideas and applications / |
Statement of responsibility, etc. |
Richard C . Penney, Purdue University. |
250 ## - EDITION STATEMENT |
Edition statement |
Fourth edition. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Hoboken, New Jersey : |
Name of producer, publisher, distributor, manufacturer |
John Wiley & Sons, Inc., |
Date of production, publication, distribution, manufacture, or copyright notice |
[2016] |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Date of production, publication, distribution, manufacture, or copyright notice |
©2016 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xix, 490 pages : |
Other physical details |
illustrations ; |
Dimensions |
25 cm. |
336 ## - CONTENT TYPE |
Content type term |
text |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
unmediated |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
volume |
Source |
rdacarrier |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
Includes index. |
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
Linear Algebra<br/>Contents<br/>Preface<br/>Features of the Text<br/>Acknowledgments<br/>About the Companion Website<br/>Chapter 1 Systems of Linear Equations<br/>1.1 The Vector Space of Matrices<br/>The Space Rn<br/>Linear Combinations and Linear Dependence<br/>What Is a Vector Space?<br/>Why Prove Anything?<br/>Exercises<br/>1.1.1 Computer Projects<br/>Exercises<br/>1.1.2 Applications to Graph Theory I<br/>Self-Study Questions<br/>Exercises<br/>1.2 Systems<br/>Rank: The Maximum Number of Linearly Independent Equations<br/>Exercises<br/>1.2.1 Computer Projects<br/>Exercises<br/>1.2.2 Applications to Circuit Theory<br/>Self-Study Questions<br/>Exercises<br/>1.3 Gaussian Elimination<br/>Spanning in Polynomial Spaces<br/>Computational Issues: Pivoting<br/>Exercises<br/>Computational Issues: Counting Flops<br/>1.3.1 Computer Projects<br/>Exercises<br/>Applications to Traffic Flow<br/>Self-Study Questions<br/>Exercises<br/>1.4 Column Space and Nullspace<br/>Subspaces<br/>Exercises<br/>Computer Projects<br/>Chapter Summary<br/>Chapter 2 Linear Independence and Dimension<br/>2.1 The Test for Linear Independence<br/>Bases for the Column Space<br/>Testing Functions for Independence<br/>Exercises<br/>2.1.1 Computer Projects<br/>Exercises<br/>2.2 Dimension<br/>Exercises<br/>2.2.1 Computer Projects<br/>Exercises<br/>2.2.2 Applications to Differential Equations<br/>Exercises<br/>2.3 Row Space and the rank-nullity theorem<br/>Bases for the Row Space<br/>Summary<br/>Computational Issues: Computing Rank<br/>Exercises<br/>2.3.1 Computer Projects<br/>Exercises<br/>Chapter Summary<br/>Chapter 3 Linear Transformations<br/>3.1 The Linearity Properties<br/>Exercises<br/>3.1.1 Computer Projects<br/>Exercises<br/>3.2 Matrix Multiplication (Composition)<br/>Partitioned Matrices<br/>Computational Issues: Parallel Computing<br/>Exercises<br/>3.2.1 Computer Projects<br/>Exercises<br/>3.2.2 Applications to Graph Theory II. Self-Study Questions<br/>Exercises<br/>3.3 Inverses<br/>Computational Issues: Reduction versus Inverses<br/>Exercises<br/>3.3.1 Computer Projects<br/>Exercises<br/>3.3.2 Applications to Economics<br/>Self-Study Questions<br/>Exercises<br/>3.4 The LU Factorization<br/>Exercises<br/>3.4.1 Computer Projects<br/>Exercises<br/>3.5 The Matrix of a Linear Transformation<br/>Coordinates<br/>Application to Differential Equations<br/>Isomorphism<br/>Invertible Linear Transformations<br/>Exercises<br/>Computer Projects<br/>Exercises<br/>Chapter Summary<br/>Chapter 4 Determinants<br/>4.1 Definition of the Determinant<br/>4.1.1 The Rest of the Proofs<br/>Exercises<br/>4.1.2 Computer Projects<br/>4.2 Reduction and Determinants<br/>Uniqueness of the Determinant<br/>Exercises<br/>4.2.1 Volume<br/>Exercises<br/>A Formula for Inverses<br/>Exercises<br/>Chapter Summary<br/>Chapter 5 Eigenvectors and Eigenvalues<br/>5.1 Eigenvectors<br/>Exercises<br/>5.1.1 Computer Projects<br/>Exercises<br/>5.1.2 Application to Markov Processes<br/>Exercises<br/>5.2 Diagonalization<br/>Powers of Matrices<br/>Exercises<br/>5.2.1 Computer Projects<br/>Exercises<br/>5.2.2 Application to Systems of Differential Equations<br/>Exercises<br/>5.3 Complex Eigenvectors<br/>Complex Vector Spaces<br/>Exercises<br/>5.3.1 Computer Projects<br/>5.3 Exercises<br/>Chapter Summary<br/>Chapter 6 Orthogonality<br/>6.1 The Scalar Product in<br/>Orthogonal/Orthonormal Bases and Coordinates<br/>Exercises<br/>6.2 Projections: The Gram-Schmidt Process<br/>The QR Decomposition<br/>Uniqueness of the Factorization<br/>Exercises<br/>6.2.1 Computer Projects<br/>Exercises<br/>6.3 Fourier Series: Scalar Product Spaces<br/>Exercises<br/>6.3.1 Application to Data Compression: Wavelets<br/>Exercises<br/>6.3.2 Computer Projects<br/>Exercises<br/>6.4 Orthogonal Matrices<br/>Householder Matrices<br/>Exercises<br/>Discrete Wavelet Transform<br/>6.4.1 Computer Projects<br/>Exercises. 6.5 Least Squares<br/>Exercises<br/>6.5.1 Computer Projects<br/>Exercises<br/>6.6 Quadratic Forms: Orthogonal Diagonalization<br/>The Spectral Theorem<br/>The Principal Axis Theorem<br/>Exercises<br/>6.6.1 Computer Projects<br/>Exercises<br/>6.7 The Singular Value Decomposition (SVD)<br/>Application of the SVD to Least-Squares Problems<br/>Exercises<br/>Computing the SVD Using Householder Matrices<br/>Diagonalizing Matrices Using Householder Matrices<br/>6.8 Hermitian Symmetric and Unitary Matrices<br/>Exercises<br/>Chapter Summary<br/>Chapter 7 Generalized Eigenvectors<br/>7.1 Generalized Eigenvectors<br/>Exercises<br/>7.2 Chain Bases<br/>Jordan Form<br/>Exercises<br/>The Cayley-Hamilton Theorem<br/>Chapter Summary<br/>Chapter 8 Numerical Techniques<br/>8.1 Condition Number<br/>Norms<br/>Condition Number<br/>Least Squares<br/>Exercises<br/>8.2 Computing Eigenvalues<br/>Iteration<br/>The QR Method<br/>Proof of Theorem 8.3 on page 457<br/>Exercises<br/>Chapter Summary<br/>Answers and Hints<br/>Section 1.1 on page 17<br/>Section 1.2 on page 38<br/>Section 1.2.2 on page 46<br/>Section 1.3 on page 63<br/>Section 1.4 on page 86<br/>Section 2.1 on page 108<br/>Section 2.2 on page 123<br/>Section 2.2.2 on page 131<br/>Section 2.3 page 143<br/>Section 3.1 on page 157<br/>Section 3.2 on page 173<br/>Section 3.3 on page 190<br/>Section 3.4 on page 212<br/>Section 3.5 on page 230<br/>Section 4.1 on page 249<br/>Section 4.2 on page 258<br/>Section 4.3 on page 268<br/>Section 5.1 on page 279<br/>Section 5.1.2 on page 285<br/>Section 5.2 on page 290<br/>Section 5.3 on page 304<br/>Section 6.1 page 316<br/>Section 6.2 on page 328<br/>Section 6.3 on page 341<br/>Section 6.4 on page 364<br/>Section 6.5 on page 377<br/>Section 6.6 on page 392<br/>Section 6.7 on page 404<br/>Section 6.8 on page 417<br/>Section 7.1 on page 429<br/>Section 7.2 on page 443<br/>Section 8.1 on page 451<br/>Index<br/>EULA |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebras, Linear |
Form subdivision |
Textbooks. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Online version: |
Main entry heading |
Penney, Richard C. |
Title |
Linear algebra |
Edition |
Fourth edition. |
Place, publisher, and date of publication |
Hoboken, New Jersey : John Wiley & Sons, Inc., [2015] |
International Standard Book Number |
9781118909591 |
Record control number |
(DLC) 2015017737 |
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
a |
7 |
b |
cbc |
c |
orignew |
d |
1 |
e |
ecip |
f |
20 |
g |
y-gencatlg |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Library of Congress Classification |
Koha item type |
Books |
Suppress in OPAC |
No |