Linear algebra / (Record no. 196654)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01154cam a2200301 i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780486635187 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.5 |
| Item number | SHI/L |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Shilov, G. E. |
| 245 10 - TITLE STATEMENT | |
| Title | Linear algebra / |
| Statement of responsibility, etc. | Georgi E. Shilov |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York : |
| Name of publisher, distributor, etc. | Dover Publications, |
| Date of publication, distribution, etc. | 1977. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xi, 387 p. |
| Dimensions | 21 cm. |
| 500 ## - GENERAL NOTE | |
| General note | Original ed. published by Prentice-Hall, Englewood Cliffs, N.J. |
| 500 ## - GENERAL NOTE | |
| General note | Includes index. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Bibliography: p. 379. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | DETERMINANTS; I.I. Number Fields; I.2. Problems of the Theory of Systems of Linear Equations; I.3.Determinants of Order n; 1.4. Properties of Determinants; 1.5. Cofactors and Minors; 1.6. Practical Evaluation of Determinants; 1.7. Cramer's Rule; 1.8. Minors of Arbitrary Order. Laplace's Theorem; 1.9. Linear Dependence between Columns; chapter 2 --<br/>LINEAR SPACES; 2.1. Definitions; 2.2. Linear Dependence; 2.3 Bases, Components, Dimension; 2.4. Subspaces; 2.5. Linear Manifolds; 2.6. Hyperplanes. 2.7. Morphisms of Linear Spaceschapter 3 --<br/>SYSTEMS OF LINEAR EQUATIONS; 3.1. More on the Rank of a Matrix; 3.2. Nontrivial Compatibility of a Homogeneous Linear System; 3.3. The Compatibility Condition for a General Linear System; 3.4. The General Solution of a Linear System; 3.5. Geometric Properties of the Solution Space; 3.6. Methods for Calculating the Rank of a Matrix; chapter 4 --<br/>LINEAR FUNCTIONS OF A VECTOR ARGUMENT; 4.1. Linear Forms; 4.2. Linear Operators; 4.3. Sums and Products of Operators; 4.4. Corresponding Operations on Matrices; 4.5. Further Properties of Matrix Multiplication. 4.6.The Range and Null Space of a Linear Operator 4.7. Linear Operators Mapping a Space Kn into Itself 2&; 4.8.Invariant Subspaces; 4.9.Eigenvectors and Eigenvalues; chapter 5 --<br/>COORDINATE TRANSFORMATIONS; 5.1. Transformation to a New Basis; 5.2. Consecutive Transformations; 5.3. Transformation of the Components of a Vector; 5.4. Transformation of the Coefficients of a Linear Form; 5.5. Transformation of the Matrix of a Linear Operator; *5.6. Tensors; chapter 6 --<br/>THE CANONICAL FORM OF THE MATRIX OF A LINEAR OPERATOR; 6.1 Canonical Form of the Matrix of a Nilpotent Operator . 6.2. Algebras. The Algebra of Polynomials 6.3. Canonical Form of the Matrix of an Arbitrary Operator; 6.4. Elementary Divisors; 6.5. Further Implications; 6.6. The Real Jordan Canonical Form; *6.7. Spectra, Jets and Polynomials; *6.8. Operator Functions and Their Matrices; chapter 7 --<br/>BILINEAR AND QUADRATIC FORMS; 7.1. Bilinear Forms; 7.2. Quadratic Forms; 7.3. Reduction of a Quadratic Form to Canonical Form; 7.4. The Canonical Basis of a Bilinear Form; 7.5. Construction of a Canonical Basis by Jacobi's Method; 7.6. Adjoint Linear Operators. 7.7. Isomorphism of Spaces Equipped with a Bilinear Form*7.8. Multilinear Forms; 7.9. Bilinear and Quadratic Forms in a Real Space; chapter 8 --<br/>EUCLIDEAN SPACES; 8.1. Introduction; 8.2. Definition of a Euclidean Space; 8.3. Basic Metric Concepts; 8.4. Orthogonal Bases; 8.5. Perpendiculars; 8.6. The Orthogonalization Theorem; 8.7. The Gram Determinant; 8.8. Incompatible Systems and the Method of Least Squares; 8.9. Adjoint Operators and Isometry; chapter 9 --<br/>UNITARY SPACES; 9.1. Hermitian Forms; 9.2. The Scalar Product in a Complex Space; 9.3. Normal Operators. |
| 650 #0 - SUBJECT | |
| Keyword | Algebras, Linear. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Date acquired | Cost, normal purchase price | Full call number | Accession number | Date last seen | Date last checked out | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | 26/03/2019 | 1061.50 | 512.5 SHI/L | 47396 | 06/12/2019 | 06/12/2019 | General Books |