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031120r19891973nyua 001-0 eng |
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|a 89030966
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|a 0486660141
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|9 (DLC) 89030966
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|a DLC
|c DLC
|d DLC
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|a QA184
|b S3.7 1973
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|a 512.9/434
|2 19
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|a QA184
|b S3.7 1973
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|a QA184
|a .S38 1989
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|a Schneider, Hans,
|d 1927 Jan. 24-
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|a Matrices and linear algebra /
|c Hans Schneider, George Phillip Barker.
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|a 2nd ed.
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260 |
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|a New York :
|b Dover Publications,
|c 1989, c1973.
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300 |
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|a xi, 413 p. :
|b ill. ;
|c 22 cm.
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500 |
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|a Reprint. Originally published: 2nd ed. New York : Holt, Rinehart and Winston, 1973.
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|a Includes index.
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|g Table of Contents for Matrices and Linear Algebra:
|g Preface to the Second Edition;
|t Preface to the First Edition --
|g I.-
|t The Algebra of Matrices --
|g 1.
|t Matrices: Definitions --
|g 2.
|t Addition and Scalar Multiplication of Matrices --
|g 3. Matrix Multiplication --
|g 4.
|t Square Matrices, Inverses, and Zero Divisors --
|g 5.
|t Transposes, Partitioning of Matrices, and Direct Sums --
|g II.-
|t Linear Equations --
|g 1.
|t Equivalent Systems of Equations --
|g 2.
|t Row Operations on Matrices --
|g 3.
|t Row Echelon Form --
|g 4.
|t Homogeneous Systems of Equations --
|g 5.
|t The Unrestricted Case: A Consistency Condition --
|g 6.
|t The Unrestricted Case: A General Solution --
|g 7.
|t Inverses of Nonsingular Matrices --
|g III.-
|t Vector Spaces --
|g 1.
|t Vectors and Vector Spaces --
|g 2.
|t Subspaces and Linear Combinations --
|g 3.
|t Linear Dependence and Linear Independence --
|g 4.
|t Bases --
|g 5.tBases and Representations --
|g 6.
|t Row Spaces of Matrices --
|g 7.
|t Column Equivalence --
|g 8.
|t Row-Column Equivalence --
|g 9.
|t Equivalence Relations and Canonical Forms of Matrices --
|g IV.-
|t Determinants --
|g 1.
|t Introduction as a Volume Function --
|g 2.
|t Permutations and Permutation Matrices --
|g 3.
|t Uniqueness and Existence of the Determinant Function --
|g 4.
|t Practical Evaluation and Transposes of Determinants --
|g 5.
|t Cofactors, Minors, and Adjoints --
|g 6.
|t Determinants and Ranks --
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|g V.-
|t Linear Transformations --
|g 1.
|t Definitions --
|g 2.
|t Representation of Linear Transformations --
|g 3.
|t Representations Under Change of Bases --
|g VI.-
|t Eigenvalues and Eigenvectors --
|g 1.
|t Introduction --
|g 2.
|t Relation Between Eigenvalues and Minors --
|g 3.
|t Similarity --
|g 4.
|t Algebraic and Geometric Multiplicites --
|g 5.tJordan Canonical Form --
|g 6.
|t Functions of Matrices --
|g 7.
|t Application: Markov Chains --
|g VII.-
|t Inner Produce Spaces --
|g 1.
|t Inner Products --
|g 2.
|t Representation of Inner Products --
|g 3.
|t Orthogonal Bases --
|g 4.
|t Unitary Equivalence and Hermitian Matrices --
|g 5.
|t Congruence and Conjunctive Equivalence --
|g 6.tCentral Conics and Quadrics --
|g 7.
|t The Natural Inverse --
|g 8.
|t Normal Matrices --
|g VIII.-
|t Applications to Differential Equations --
|g 1.
|t Introduction --
|g 2.
|t Homogeneous Differential Equations --
|g 3.
|t Linear Differrential Equations: The Unrestricted Case --
|g 4.
|t Linear Operators: The Global View --
|g Answers; Symbols; Index--
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|a Álgebra lineal
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|a Matrices.
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|a Álgebra lineal
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|a Matrices
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|a Barker, George Phillip.
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|3 Publisher description
|u http://www.loc.gov/catdir/description/dover031/89030966.html
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|z Table of contents
|u http://www.loc.gov/catdir/toc/dover031/89030966.html
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905 |
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|a LIBROS
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949 |
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|a Biblioteca UAM Iztapalapa
|b Colección General
|c QA184 S3.7 1973
|