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Linear algebra and its applications

Autor: Gilbert Strang
Editorial: San Diego : Harcourt, Brace, Jovanovich, Publishers, ©1988.
Edición/Formato:   Print book : Inglés (eng) : 3rd edVer todas las ediciones y todos los formatos
Base de datos:WorldCat
Resumen:

This text combines the underlying theory discussions with examples from electrical engineering, computer science, physics, biology, and economics.

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Detalles

Tipo de material: Recurso en Internet
Tipo de documento: Libro/Texto, Recurso en Internet
Todos autores / colaboradores: Gilbert Strang
ISBN: 0155510053 9780155510050 015551007X 9780155510074
Número OCLC: 17557578
Notas: Includes index.
Descripción: xii, 505 p. : ill. ; 24 cm.
Contenido: Matrices and Gaussian Elimination --
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 --
Vector Spaces --
Vector Spaces and Subspaces --
Solving Ax = 0 and Ax = b --
Linear Independence, Basis, and Dimension --
The Four Fundamental Subspaces --
Graphs and Networks --
Linear Transformations --
Orthogonality --
Orthogonal Vectors and Subspaces --
Cosines and Projections onto Lines --
Projections and Least Squares --
Orthogonal Bases and Gram-Schmidt --
The Fast Fourier Transform --
Determinants --
Properties of the Determinant --
Formulas for the Determinant --
Applications of Determinants --
Eigenvalues and Eigenvectors --
Diagonalization of a Matrix --
Difference Equations and Powers A[superscript k] --
Differential Equations and e[superscript At] --
Complex Matrices --
Similarity Transformations --
Positive Definite Matrices --
Minima, Maxima, and Saddle Points --
Tests for Positive Definiteness --
Singular Value Decomposition --
Minimum Principles --
The Finite Element Method --
Computations with Matrices --
Matrix Norm and Condition Number --
Computation of Eigenvalues --
Iterative Methods for Ax = b --
Linear Programming and Game Theory --
Linear Inequalities --
The Simplex Method --
The Dual Problem --
Network Models --
Game Theory --
Intersection, Sum, and Product of Spaces --
The Jordan Form --
Matrix Factorizations.
Responsabilidad: Gilbert Strang.
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