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Linear algebra : (Record no. 294)

MARC details
000 -LEADER
fixed length control field 06159cam a2200229 a 4500
001 - CONTROL NUMBER
control field 1423
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200629123007.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 080118s2008 njua 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780470178843 (hbk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0470178841 (hbk.)
040 ## - CATALOGING SOURCE
Transcribing agency DLC
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.5
Edition number 22
Item number P4137
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Penney, Richard C.
245 10 - TITLE STATEMENT
Title Linear algebra :
Remainder of title ideas and applications /
Statement of responsibility, etc Richard Penney.
250 ## - EDITION STATEMENT
Edition statement 3rd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Hoboken, N.J. :
Name of publisher, distributor, etc John Wiley,
Date of publication, distribution, etc c2008.
300 ## - PHYSICAL DESCRIPTION
Extent xvi, 480 p.
Other physical details ill. ;
Dimensions 25 cm.
500 ## - GENERAL NOTE
General note Includes index.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebras, Linear
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface. <br/>Features of the Text. <br/>1. Systems of Linear Equations. <br/>1.1 The Vector Space of m x n Matrices. <br/>The Space Rn. <br/>Linear Combinations and Linear Dependence. <br/>What Is a Vector Space? <br/>Why Prove Anything? <br/>True-False Questions. <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/>True-False Questions. <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/>True-False Questions. <br/>Exercises. <br/>Computational Issues: Flops. <br/>1.3.1 Computer Projects. <br/>Exercises. <br/>1.3.2 Applications to Traffic Flow. <br/>Self-Study Questions. <br/>Exercises. <br/>1.4 Column Space and Nullspace. <br/>Subspaces. <br/>Subspaces of Functions. <br/>True-False Questions. <br/>Exercises. <br/>1.4.1 Computer Projects. <br/>Exercises. <br/>1.4.2 Applications to Predator-Prey Problems. <br/>Self-Study Questions. <br/>Exercises. <br/>Chapter Summary. <br/>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/>True-False Questions. <br/>Exercises. <br/>2.1.1 Computer Projects. <br/>2.2 Dimension. <br/>True-False Questions. <br/>Exercises. <br/>2.2.1 Computer Projects. <br/>Exercises. <br/>2.2.2 Applications to Calculus. <br/>Self-Study Questions. <br/>Exercises. <br/>2.2.3 Applications to Differential Equations. <br/>Self-Study Questions. <br/>Exercises. <br/>2.2.4 Applications to the Harmonic Oscillator. <br/>Self-Study Questions. <br/>Exercises. <br/>2.2.5 Computer Projects. <br/>Exercises. <br/>2.3 Row Space and the Rank-Nullity Theorem. <br/>Bases for the Row Space. <br/>Rank-Nullity Theorem. <br/>Computational Issues: Computing Rank. <br/>True-False Questions. <br/>Exercises. <br/>2.3.1 Computer Projects. <br/>Chapter Summary. <br/>3. Linear Transformations. <br/>3.1 The Linearity Properties. <br/>True-False Questions. <br/>Exercises. <br/>3.1.1 Computer Projects. <br/>3.1.2 Applications to Control Theory. <br/>Self-Study Questions. <br/>Exercises. <br/>3.2 Matrix Multiplication (Composition). <br/>Partitioned Matrices. <br/>Computational Issues: Parallel Computing. <br/>True-False Questions. <br/>Exercises. <br/>3.2.1 Computer Projects. <br/>3.2.2 Applications to Graph Theory II. <br/>Self-Study Questions. <br/>Exercises. <br/>3.3 Inverses. <br/>Computational Issues: Reduction vs. Inverses. <br/>True-False Questions. <br/>Exercises. <br/>Ill Conditioned Systems. <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/>True-False Questions. <br/>Exercises. <br/>3.5.1 Computer Projects. <br/>Chapter Summary. <br/>4. Determinants. <br/>4.1 Definition of the Determinant. <br/>4.1.1 The Rest of the Proofs. <br/>True-False Questions. <br/>Exercises. <br/>4.1.2 Computer Projects. <br/>4.2 Reduction and Determinants. <br/>Uniqueness of the Determinant. <br/>True-False Questions. <br/>Exercises. <br/>4.2.1 Application to Volume. <br/>Self-Study Questions. <br/>Exercises. <br/>4.3 A Formula for Inverses. <br/>Cramer’s Rule. <br/>True-False Questions. <br/>Exercises 273. <br/>Chapter Summary. <br/>5. Eigenvectors and Eigenvalues. <br/>5.1 Eigenvectors. <br/>True-False Questions. <br/>Exercises. <br/>5.1.1 Computer Projects. <br/>5.1.2 Application to Markov Processes. <br/>Exercises. <br/>5.2 Diagonalization. <br/>Powers of Matrices. <br/>True-False Questions. <br/>Exercises. <br/>5.2.1 Computer Projects. <br/>5.2.2 Application to Systems of Differential Equations. <br/>Self-Study Questions. <br/>Exercises. <br/>5.3 Complex Eigenvectors. <br/>Complex Vector Spaces. <br/>Exercises. <br/>5.3.1 Computer Projects. <br/>Exercises. <br/>Chapter Summary. <br/>6. Orthogonality. <br/>6.1 The Scalar Product in Rn. <br/>Orthogonal/Orthonormal Bases and Coordinates. <br/>True-False Questions. <br/>Exercises. <br/>6.1.1 Application to Statistics. <br/>Self-Study Questions. <br/>Exercises. <br/>6.2 Projections: The Gram-Schmidt Process. <br/>The QR Decomposition 334. <br/>Uniqueness of the QR-factoriaition. <br/>True-False Questions. <br/>Exercises. <br/>6.2.1 Computer Projects. <br/>Exercises. <br/>6.3 Fourier Series: Scalar Product Spaces. <br/>Exercises. <br/>6.3.1 Computer Projects. <br/>Exercises. <br/>6.4 Orthogonal Matrices. <br/>Householder Matrices. <br/>True-False Questions. <br/>Exercises. <br/>6.4.1 Computer Projects. <br/>Exercises. <br/>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/>True-False Questions. <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/>True-False Questions. <br/>Exercises. <br/>Computing the SVD Using Householder Matrices. <br/>Diagonalizing Symmetric Matrices Using Householder Matrices. <br/>6.8 Hermitian Symmetric and Unitary Matrices. <br/>True-False Questions. <br/>Exercises. <br/>Chapter Summary. <br/>7. Generalized Eigenvectors. <br/>7.1 Generalized Eigenvectors. <br/>Exercises. <br/>7.2 Chain Bases. <br/>Jordan Form. <br/>True-False Questions. <br/>Exercises. <br/>The Cayley-Hamilton Theorem. <br/>Chapter Summary. <br/>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/>Exercises. <br/>Chapter Summary. <br/>Answers and Hints. <br/>Index.<br/>
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      UE-Central Library UE-Central Library 31.05.2018 U.E. 512.5 P4137 T1423 31.05.2018 31.05.2018 Books
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