Linear algebra and its applications (Record no. 304)
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000 -LEADER | |
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fixed length control field | 02917nam a22002177a 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20190831102141.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 190831b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9788131501726 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.5 |
Item number | STR |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Strang, Gilbert |
245 ## - TITLE STATEMENT | |
Title | Linear algebra and its applications |
250 ## - EDITION STATEMENT | |
Edition statement | 4th |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Name of publisher, distributor, etc. | Cengage Learning India Pvt. Ltd. |
Place of publication, distribution, etc. | New Delhi |
Date of publication, distribution, etc. | 2007 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 496 p. |
365 ## - TRADE PRICE | |
Price type code | INR |
Price amount | 525.00 |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc. note | 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. 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. 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. 4. DETERMINANTS. Introduction. Properties of the Determinant. Formulas for the Determinant. Applications of Determinants. Review Exercises. 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. 6. POSITIVE DEFINITE MATRICES. Minima, Maxima, and Saddle Points. Tests for Positive Definiteness. The Singular Value Decomposition. Minimum Principles. The Finite Element Method. 7. COMPUTATIONS WITH MATRICES. Introduction. The Norm and Condition Number. The Computation of Eigenvalues. Iterative Methods for Ax = b. 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. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Linear algebra |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Strang, Gilbert |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Book |
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 | Cost, normal purchase price | Total Checkouts | Total Renewals | Full call number | Accession Number | Date last seen | Date checked out | Copy number | Cost, replacement price | Price effective from | Koha item type | Bill No | Bill Date |
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Dewey Decimal Classification | Operations Management & Quantitative Techniques | Indian Institute of Management LRC | Indian Institute of Management LRC | General Stacks | 06/17/2019 | Overseas Press India Private | 393.22 | 2 | 2 | 512.5 STR | 000583 | 08/03/2022 | 10/25/2021 | 1 | 525.00 | 08/31/2019 | Book | IN28349 | 22-05-2019 |