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Linear algebra and its applications

作者: Gilbert Strang
出版商: San Diego : Harcourt, Brace, Jovanovich, Publishers, ©1988.
版本/格式:   圖書 : 英語 : 3rd ed所有版本和格式的總覽
資料庫:WorldCat
提要:

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

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資料類型: 網際網路資源
文件類型: 圖書, 網路資源
所有的作者/貢獻者: Gilbert Strang
ISBN: 0155510053 9780155510050 015551007X 9780155510074
OCLC系統控制編碼: 17557578
描述: xii, 505 pages : illustrations ; 24 cm
内容: 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.
責任: Gilbert Strang.

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