Linear algebra : (Record no. 1952)

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)
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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
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Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Inventory number Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Library of Congress Classification       GSU Library Epoch GSU Library Epoch General Stacks 22/09/2023 BAI 04624   QA184.2PEN 50000005786 30/10/2023 30/10/2023 Books