Elementary Linear Algebra: (Record no. 9708)

MARC details
000 -LEADER
fixed length control field 04347nam a22002177a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220616145532.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220616b2005 |||a|||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780471449027
040 ## - CATALOGING SOURCE
Original cataloging agency EG-CaNU
Transcribing agency EG-CaNU
Modifying agency EG-CaNU
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.5
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Anton, Howard
245 ## - TITLE STATEMENT
Title Elementary Linear Algebra:
Remainder of title applications version /
Statement of responsibility, etc. Howard Anton ,Chris Rorres.
250 ## - EDITION STATEMENT
Edition statement 9th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York ;
Name of publisher, distributor, etc. John Wiley & Sons Inc:
Date of publication, distribution, etc. 2005.
300 ## - PHYSICAL DESCRIPTION
Extent 832 p. :
Other physical details ill ;
Dimensions 27 cm
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter 1 Systems of Linear Equations and Matrices 1 --<br/>1.1 Introduction to Systems of Linear Equations 2 --<br/>1.2 Gaussian Elimination 8 --<br/>1.3 Matrices and Matrix Operations 23 --<br/>1.4 Inverses; Rules of Matrix Arithmetic 39 --<br/>1.5 Elementary Matrices and a Method for Finding A[superscript -1] 51 --<br/>1.6 Further Results on Systems of Equations and Invertibility 60 --<br/>1.7 Diagonal, Triangular, and Symmetric Matrices 68 --<br/>Chapter 2 Determinants 83 --<br/>2.1 Determinants by Cofactor Expansion 84 --<br/>2.2 Evaluating Determinants by Row Reduction 96 --<br/>2.3 Properties of the Determinant Function 103 --<br/>2.4 A Combinatorial Approach to Determinants 111 --<br/>Chapter 3 Vectors in 2-Space and 3-Space 123 --<br/>3.1 Introduction to Vectors (Geometric) 124 --<br/>3.2 Norm of a Vector; Vector Arithmetic 131 --<br/>3.3 Dot Product; Projections 136 --<br/>3.4 Cross Product 144 --<br/>3.5 Lines and Planes in 3-Space 156 --<br/>Chapter 4 Euclidean Vector Spaces 167 --<br/>4.1 Euclidean n-Space 168 --<br/>4.2 Linear Transformations from R[superscript n] to R[superscript m] 181 --<br/>4.3 Properties of Linear Transformations from R[superscript n] to R[superscript m] 197 --<br/>4.4 Linear Transformations and Polynomials 210 --<br/>Chapter 5 General Vector Spaces 221 --<br/>5.1 Real Vector Spaces 222 --<br/>5.2 Subspaces 229 --<br/>5.3 Linear Independence 240 --<br/>5.4 Basis and Dimension 250 --<br/>5.5 Row Space, Column Space, and Nullspace 266 --<br/>5.6 Rank and Nullity 279 --<br/>Chapter 6 Inner Product Spaces 295 --<br/>6.1 Inner Products 296 --<br/>6.2 Angle and Orthogonality in Inner Product Spaces 307 --<br/>6.3 Orthonormal Bases; Gram-Schmidt Prodcess; QR-Decomposition 318 --<br/>6.4 Best Approximation; Least Squares 332 --<br/>6.5 Change of Basis 341 --<br/>6.6 Orthogonal Matrices 347 --<br/>Chapter 7 Eigenvalues, Eigenvectors 359 --<br/>7.1 Eigenvalues and Eigenvectors 360 --<br/>7.2 Diagonalization 369 --<br/>7.3 Orthogonal Diagonalization 380 --<br/>Chapter 8 Linear Transformations 389 --<br/>8.1 General Linear Transformations 390 --<br/>8.2 Kernel and Range 400 --<br/>8.3 Inverse Linear Transformations 407 --<br/>8.4 Matrices of General Linear Transformations 416 --<br/>8.5 Similarity 430 --<br/>8.6 Isomorphism 442 --<br/>9.1 Application to Differential Equations 452 --<br/>9.2 Geometry of Linear Operators on R[superscript 2] 458 --<br/>9.3 Least Squares Fitting to Data 468 --<br/>9.4 Approximation Problems; Fourier Series 474 --<br/>9.5 Quadratic Forms 479 --<br/>9.6 Diagonalizing Quadratic Forms; Conic Sections 487 --<br/>9.7 Quadric Surfaces 497 --<br/>9.8 Comparison of Procedures for Solving Linear Systems 502 --<br/>9.9 LU-Decompositions 511 --<br/>Chapter 10 Complex Vector Spaces 521 --<br/>10.1 Complex Numbers 522 --<br/>10.2 Division of Complex Numbers 528 --<br/>10.3 Polar Form of a Complex Number 533 --<br/>10.4 Complex Vector Spaces 540 --<br/>10.5 Complex Inner Product Spaces 547 --<br/>10.6 Unitary Normal, and Hermitian Matrices 554 --<br/>Chapter 11 Applications of Linear Algebra 567 --<br/>11.1 Constructing Curves and Surfaces through Specified Points 568 --<br/>11.2 Electrical Networks 574 --<br/>11.3 Geometric Linear Programming 578 --<br/>11.4 The Earliest Applications of Linear Algebra 590 --<br/>11.5 Cubic Spline Interpolation 597 --<br/>11.6 Markov Chains 608 --<br/>11.7 Graph Theory 619 --<br/>11.8 Games of Strategy 629 --<br/>11.9 Leontief Economic Models 639 --<br/>11.10 Forest Management 648 --<br/>11.11 Computer Graphics 657 --<br/>11.12 Equilibrium Temperature Distributions 665 --<br/>11.13 Computed Tomography 676 --<br/>11.14 Fractals 688 --<br/>11.15 Chaos 705 --<br/>11.16 Cryptography 719 --<br/>11.17 Genetics 732 --<br/>11.18 Age-Specific Population Growth 743 --<br/>11.19 Harvesting of Animal Populations 753 --<br/>11.20 A Least Squares Model for Human Hearing 762 --<br/>11.21 Warps and Morphs 768.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebras,
Form subdivision Linear
9 (RLIN) 1599
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Rorres, Chris
9 (RLIN) 1600
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     Main library Main library 06/16/2022   512.5/AN.E 016533 06/16/2022 06/16/2022 Books