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Linear algebra and its applications [4th ed.] (Record no. 566972)

MARC details
000 -LEADER
fixed length control field 02829pam a2200205a 44500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20231030151703.0
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9788131501726
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.5
Item number St81l4
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Strang, Gilbert
245 1# - TITLE STATEMENT
Title Linear algebra and its applications [4th ed.]
Statement of responsibility, etc Gilbert Strang
250 ## - EDITION STATEMENT
Edition statement 4th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Cengage
Year of publication 2006
Place of publication New Delhi
300 ## - PHYSICAL DESCRIPTION
Number of Pages viii, 487p
520 ## - SUMMARY, ETC.
Summary, etc The exercise sets in the book have been extensively updated. They feature many new problems from Professor Strang's long experience.New coverage of the Singular Value Decomposition has been added to the text.?A second color has been added to the illustrations and boxes, many of which are new.Includes an optional section on the Fast Fourier Transform. Students discover how this outstanding algorithm fits into linear algebra and introduces complex numbers.Recognizes what the computer can do in linear algebra, without being dominated by it.<br/><br/>Table of Contents<br/><br/>1. MATRICES AND GAUSSIAN ELIMINATION. Introduction. The Geometry of Linear Equations. An Example of Gaussian Elimination. Matrix Notation and Matrix Multiplication. Triangular Factors and Row Exchanges. Inverses and Transposes. Special Matrices and Applications. Review Exercises.<br/><br/>2. VECTOR SPACES. Vector Spaces and Subspaces. The Solution of m Equations in n Unknowns. Linear Independence, Basis, and Dimension. The Four Fundamental Subspaces. Networks and Incidence Matrices. Linear Transformations. Review Exercises.<br/><br/>3. ORTHOGONALITY. Perpendicular Vectors and Orthogonal Subspaces. Inner Products and Projections onto Lines. Least Squares Approximations. Orthogonal Bases, Orthogonal Matrices, and Gram-Schmidt Orthogonalization. The Fast Fourier Transform. Review and Preview. Review Exercises.<br/><br/>4. DETERMINANTS. Introduction. Properties of the Determinant. Formulas for the Determinant. Applications of Determinants. Review Exercises.<br/><br/>5. EIGENVALUES AND EIGENVECTORS. Introduction. Diagonalization of a Matrix. Difference Equations and the Powers Ak. Differential Equations and the Exponential eAt. Complex Matrices: Symmetric vs. Hermitian. Similarity Transformations. Review Exercises.<br/><br/>6. POSITIVE DEFINITE MATRICES. Minima, Maxima, and Saddle Points. Tests for Positive Definiteness. The Singular Value Decomposition. Minimum Principles. The Finite Element Method.<br/><br/>7. COMPUTATIONS WITH MATRICES. Introduction. The Norm and Condition Number. The Computation of Eigenvalues. Iterative Methods for Ax = b.<br/><br/>8. LINEAR PROGRAMMING AND GAME THEORY. Linear Inequalities. The Simplex Method. Primal and Dual Programs. Network Models. Game Theory. Appendix A: Computer Graphics. Appendix B: The Jordan Form. References. Solutions to Selected Exercises. Index.<br/>
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Algebras, Linear
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Current library Date acquired Cost, normal purchase price Full call number Accession Number Cost, replacement price Koha item type
        General Stacks PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 06/11/2023 650.00 512.5 St81l4 GB2775 650.00 Books

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