Introductory linear algebra with applications Bernard Kolman
Por: Kolman, Bernard [autor].
Tipo de material: LibroFecha de copyright: Upper Saddle River, Nueva Jersey Prentice Hall ©1997Edición: sexta edición.Descripción: v, 407 páginas ilustraciones 26 cm.Tipo de contenido: texto Tipo de medio: sin mediación Tipo de portador: volumenISBN: 0132819821.Tema(s): ÁLGEBRA LINEAL | ANÁLISIS MATEMÁTICO | MATEMÁTICAS | ECUACIONES | MATRICES (Matemáticas) | DETERMINANTES | ÁLGEBRA VECTORIAL | ANÁLISIS VECTORIALResumen: Preface, p.v - 1. LINEAR EQUATIONS AND MATRICES, p.1 - 1.1 Systems of Linear Equations - 1.2 Matrices - 1.3 Dot Product and Matrix Multiplication - 1.4 Properties of Matrix Operations – 1.5 Properties of Matrix Operations - 1.6 The Inverse of a Matrix - Sipplementary Exercises - 2. DETERMINANTS, p.57 – 2.1 Determinants – 2.2 Cofactor Expansion and Applications - Sipplementary Exercises – 3. VECTORS IN R2 RN, 77 – 3.1 Vectors in the Plane – 3.2 n-Vectors – 3.3 Introduction to Linear Transformations – 3.4 Computer Graphics – 3.5 Croos Product in R3 – 3.6 Lines and Planes - Sipplementary Exercises – 4. VECTOR SPACES, p.111 – 4.1 Vector Spaces – 4.2 Subspaces – 4.3 Linear Independence – 4.4 Basis and Dimension – 4.5 Homogeneous Systems – 4.6 The Rank of a Matrix and Applications – 4.7 Coordinates and Change of Basis – 4.8 Orthonormal Bases in Rn – 4.9 Orthogonal Complements - Sipplementary Exercises – 5. EIGENVALUES AND EIGENVECTORS, p.199 – 5.1 Diagonalization – 5.2 Diagonalization of Symmetric - Sipplementary Exercises – 6. LINEAR TRANSFORMATIONS AND MATRICES, p.229 - 6.1 Definition and Examples – 6.2 The Kernel and Range of a Linear Transformation – 6.3 The Matrix of a Linear Transformation - Sipplementary Exercises – 7. LINEAR PROGRAMMING, p.263 – 7.1 The Linear Programming Problem; Geometric Solution – 7.2 The Simplex Method – 7.3 Duality - Sipplementary Exercises – 8. APPLICATIONS, p.287 – 8.1 Graph Theory – 8.2 Electrical Circuits – 8.3 Markov Chains - 8.4 Least Squares – 8.5 Linear Economic Models – 8.6 Differential Equations – 8.7 The Fibonacci Sequence – 8.8 Quadratic Forms - 8.9 Conic Sections - 8.10 Quadric Surfaces – 8.11 The Theory of Games - Sipplementary Exercises – 9. NUMERICAL LINEAR ALGEBRA, p.351 – 9.1 Error Analysis – 9.2 Linear Systems – 9.3 LU-Factorization – 9.4 QR-Factorization – 9.5 Eigenvalues and Eigenvectors - A. COMPLEX NUMBERS, p.389 - A.1 Complex Numbers - A.2 Complex Numbers in Linear Algebra – B. FURTHER DIRECTIONS, p.397 - B.1 Inner Product Spaces - B.2 Composite and Invertible Linear TransformationsTipo de ítem | Ubicación actual | Biblioteca de origen | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems |
---|---|---|---|---|---|---|---|---|---|
Libros | Biblioteca Silvina Ocampo (Junín) | Biblioteca Silvina Ocampo (Junín) Sala de lectura | GENERAL | 512.64 K815 (1) (Navegar estantería) | 1 | Disponible | J05748 | ||
Libros | Biblioteca Silvina Ocampo (Junín) | Biblioteca Silvina Ocampo (Junín) Sala de lectura | GENERAL | 512.64 K815 (2) (Navegar estantería) | 2 | Disponible | J05749 |
Prefacio, p.v -
Ejercicios complementarios al finalizar cada capítulo
Preface, p.v - 1. LINEAR EQUATIONS AND MATRICES, p.1 - 1.1 Systems of Linear Equations - 1.2 Matrices - 1.3 Dot Product and Matrix Multiplication - 1.4 Properties of Matrix Operations – 1.5 Properties of Matrix Operations - 1.6 The Inverse of a Matrix - Sipplementary Exercises - 2. DETERMINANTS, p.57 – 2.1 Determinants – 2.2 Cofactor Expansion and Applications - Sipplementary Exercises – 3. VECTORS IN R2 RN, 77 – 3.1 Vectors in the Plane – 3.2 n-Vectors – 3.3 Introduction to Linear Transformations – 3.4 Computer Graphics – 3.5 Croos Product in R3 – 3.6 Lines and Planes - Sipplementary Exercises – 4. VECTOR SPACES, p.111 – 4.1 Vector Spaces – 4.2 Subspaces – 4.3 Linear Independence – 4.4 Basis and Dimension – 4.5 Homogeneous Systems – 4.6 The Rank of a Matrix and Applications – 4.7 Coordinates and Change of Basis – 4.8 Orthonormal Bases in Rn – 4.9 Orthogonal Complements - Sipplementary Exercises – 5. EIGENVALUES AND EIGENVECTORS, p.199 – 5.1 Diagonalization – 5.2 Diagonalization of Symmetric - Sipplementary Exercises – 6. LINEAR TRANSFORMATIONS AND MATRICES, p.229 - 6.1 Definition and Examples – 6.2 The Kernel and Range of a Linear Transformation – 6.3 The Matrix of a Linear Transformation - Sipplementary Exercises – 7. LINEAR PROGRAMMING, p.263 – 7.1 The Linear Programming Problem; Geometric Solution – 7.2 The Simplex Method – 7.3 Duality - Sipplementary Exercises – 8. APPLICATIONS, p.287 – 8.1 Graph Theory – 8.2 Electrical Circuits – 8.3 Markov Chains - 8.4 Least Squares – 8.5 Linear Economic Models – 8.6 Differential Equations – 8.7 The Fibonacci Sequence – 8.8 Quadratic Forms - 8.9 Conic Sections - 8.10 Quadric Surfaces – 8.11 The Theory of Games - Sipplementary Exercises – 9. NUMERICAL LINEAR ALGEBRA, p.351 – 9.1 Error Analysis – 9.2 Linear Systems – 9.3 LU-Factorization – 9.4 QR-Factorization – 9.5 Eigenvalues and Eigenvectors - A. COMPLEX NUMBERS, p.389 - A.1 Complex Numbers - A.2 Complex Numbers in Linear Algebra – B. FURTHER DIRECTIONS, p.397 - B.1 Inner Product Spaces - B.2 Composite and Invertible Linear Transformations
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