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Linear algebra /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
New York :
Dover Publications,
1977.
|
| Edición: | Rev. English ed. / |
| Colección: | Dover books on mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
| 005 | 20231027140348.0 | ||
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| 050 | 4 | |a QA184 |b .S56 1977 | |
| 082 | 0 | 4 | |a 512/.5 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Shilov, G. E. |q (Georgiĭ Evgenʹevich) | |
| 245 | 1 | 0 | |a Linear algebra / |c Georgi E. Shilov. |
| 250 | |a Rev. English ed. / |b translated and edited by Richard A. Silverman. | ||
| 260 | |a New York : |b Dover Publications, |c 1977. | ||
| 300 | |a 1 online resource (xi, 387 pages) : |b graphs | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Dover books on mathematics. | |
| 500 | |a Original ed. published by Prentice-Hall, Englewood Cliffs, N.J. | ||
| 504 | |a Includes bibliographical references (page 379) and index. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Machine derived contents note: chapter 1 -- Determinants -- 1.1. Number Fields -- 1.2. Problems of the Theory of Systems of Linear Equations -- 1.3. 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 -- Problems -- chapter 2 -- 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 Spaces -- Problems -- chapter 3 -- 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 Compatability 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 -- Problems -- chapter 4 -- Linear Functions Of A Vector Argument -- 4.1. Linear Forms -- 4.2. Linear Operators -- 4.3. Sums and Products of Linear 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 -- 4.8. Invariant Subspaces -- 4.9. Eigenvectors and Eigenvalues -- Problems -- chapter 5 -- 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 -- Problems -- chapter 6 -- 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 -- Problems -- chapter 7 -- 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 -- Problems -- chapter 8 -- 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 -- Problems -- chapter 9 -- Unitary Spaces -- 9.1. Hermitian Forms -- 9.2. The Scalar Product in a Complex Space -- 9.3. Normal Operators -- 9.4. Applications to Operator Theory in Euclidean Space -- Problems -- chapter 10 -- Quadratic Forms In Euclidean And Unitary Spaces -- 10.1. Basic Theorem on Quadratic Forms in a Euclidean Space -- 10.2. Extremal Properties of a Quadratic Form -- 10.3 Simultaneous Reduction of Two Quadratic Forms -- 10.4. Reduction of the General Equation of a Quadratic Surface -- 10.5. Geometric Properties. | |
| 590 | |a Knovel |b ACADEMIC - General Engineering & Project Administration | ||
| 650 | 0 | |a Algebras, Linear. | |
| 650 | 6 | |a Algèbre linéaire. | |
| 650 | 7 | |a Algebras, Linear |2 fast | |
| 650 | 7 | |a Álgebra linear. |2 larpcal | |
| 776 | 0 | 8 | |i Print version: |w (DLC) 77075267 |w (OCoLC)3447101 |
| 830 | 0 | |a Dover books on mathematics. | |
| 856 | 4 | 0 | |u https://appknovel.uam.elogim.com/kn/resources/kpLA000001/toc |z Texto completo |
| 938 | |a YBP Library Services |b YANK |n 12215462 | ||
| 994 | |a 92 |b IZTAP | ||