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[BX0155] Elementary Linear Algebra 7/E    首頁 > 英文圖書類 > Mathes
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Table of Contents:

1. SYSTEMS OF LINEAR EQUATIONS

  • 1.1 Introduction to Systems of Equations.

  • 1.2 Gaussian Elimination and Gauss-Jordan Elimination.

  • 1.3 Applications of Systems of Linear Equations.

2. MATRICES.

  • 2.1 Operations with Matrices.

  • 2.2 Properties of Matrix Operations.

  • 2.3 The Inverse of a Matrix.

  • 2.4 Elementary Matrices.

  • 2.5 Applications of Matrix Operations.

3. DETERMINANTS.

  • 3.1 The Determinant of a Matrix.

  • 3.2 Evaluation of a Determinant Using Elementary Operations.

  • 3.3 Properties of Determinants.

  • 3.4 Applications of Determinants.

4. VECTOR SPACES.

  • 4.1 Vectors in Rn.

  • 4.2 Vector Spaces.

  • 4.3 Subspaces of Vector Spaces.

  • 4.4 Spanning Sets and Linear Independence.

  • 4.5 Basis and Dimension.

  • 4.6 Rank of a Matrix and Systems of Linear Equations.

  • 4.7 Coordinates and Change of Basis.

  • 4.8 Applications of Vector Spaces.

5. INNER PRODUCT SPACES.

  • 5.1 Length and Dot Product in Rn.

  • 5.2 Inner Product Spaces.

  • 5.3 Orthogonal Bases: Gram-Schmidt Process.

  • 5.4 Mathematical Models and Least Squares Analysis.

  • 5.5 Applications of Inner Product Spaces.

6. LINEAR TRANSFORMATIONS.

  • 6.1 Introduction to Linear Transformations.

  • 6.2 The Kernel and Range of a Linear Transformation.

  • 6.3 Matrices for Linear Transformations.

  • 6.4 Transition Matrices and Similarity.

  • 6.5 Applications of Linear Transformations.

7. EIGENVALUES AND EIGENVECTORS.

  • 7.1 Eigenvalues and Eigenvectors.

  • 7.2 Diagonalization.

  • 7.3 Symmetric Matrices and Orthogonal Diagonalization.

  • 7.4 Applications of Eigenvalues and Eigenvectors.

8. COMPLEX VECTOR SPACES (online).

  • 8.1 Complex Numbers.

  • 8.2 Conjugates and Division of Complex Numbers.

  • 8.3 Polar Form and Demoivre's Theorem.

  • 8.4 Complex Vector Spaces and Inner Products.

  • 8.5 Unitary and Hermitian Spaces.

9. LINEAR PROGRAMMING (online).

  • 9.1 Systems of Linear Inequalities.

  • 9.2 Linear Programming Involving Two Variables.

  • 9.3 The Simplex Method: Maximization.

  • 9.4 The Simplex Method: Minimization.

  • 9.5 The Simplex Method: Mixed Constraints.

10. NUMERICAL METHODS (online).

  • 10.1 Gaussian Elimination with Partial Pivoting.

  • 10.2 Iterative Methods for Solving Linear Systems.

  • 10.3 Power Method for Approximating Eigenvalues.

  • 10.4 Applications of Numerical Methods.

 本書其它內容…

作(編/譯)者 : LARSON 出版年份 : 2013
ISBN : 9781133111344 書號 : BX0155
幾色 : 4 規格 : 平裝
發行公司 : CENGAGE 英文書名中譯 : 線性代數
版次 : 7E 頁數 : 448
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