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線性代數 :英文版·第７版 版權信息
- ISBN：7111211987
- 條形碼：9787111211983 ; 978-7-111-21198-3
- 裝幀：暫無
- 冊數：暫無
- 重量：暫無
- 所屬分類：>>
線性代數 :英文版·第７版 內容簡介
隨著計算機技術的發展,線性代數課程的重要性越來越突出。同時,現代軟件技術已經為顯著改進授課方式提供了可能。本書作者多年講授線性代數課程,并在教學過程中不斷探索更利于學生理解的新教學方法,從而使本書更加適合作為線性代數課程的教材。
本書主要特點:
·理論與應用有機結合。大量的實際應用貫穿于理論講解的始終,體現了線性代數在各個領域中的廣泛應用。
·示例豐富。便于讀者理解相關的定義及原理,增強了讀者學習的興趣。
·習題安排科學合理。每一節的后面給出大量的習題,各章后面還有測試題,使學生有更多的演練機會,達到觸類旁通的效果。
·緊密結合數學工具MATLAB。每章的后面都有基于MALAB的上機練習,并在附錄中介紹了MALAB的基本用法。
線性代數 :英文版·第７版 目錄
PREFACE
1 MATRICES AND SYSTEMS OF EQUATIONS
1 Systems of Linear Equations
2 Row Echelon Form
3 Matrix Algebra
4 Elementary Matrices
S Partitioned Matrices
MATLAB Exercises
Chapter Test A
Chapter Test B
2 DETERMINANTS
1 The Determinant of a Matrix
2 Properties of Determinants
3 Cramer's Rule
MATLAB Exercises
Chapter Test A
Chapter Test B
3 VECTOR SPACES
1 Definition and Examples
2 Subspaces
3 Iinear Independence
4 Basis and Dimension
5 Change of Basis
6 Row Space and Column Space
MATLAB Exercises
Chapter Test A
Chapter Test B
4 LINEAR TRANSFORMATIONS
1 Definition and Examples
2 Matrix Representations of Linear Transformations
3 Similarity
MATLAB Exercises
Chapter Test A
Chapter Test B
5 ORTHOGONALIT
1 The Scalar Product in Rn
2 Orthogonal Subspaces
3 Least Squares Problems
4 Inner Product Spaces
5 Orthonormal Sets
6 The GramSchmidt 0rthogonalization Process
7 Orthogonal Polynomials
MATLAB Exercises
Chapter Test A
Chapter Test B
6 EIGENVALUES
1 Eigenvalues and Eigenvectors
2 Systems of Linear Differential Equations
3 Diagonalization
4 Hermitian Matrices
5 The Singular Value Decomposition
6 Quadratic Forms
7 Positive Definite Matrices
8 Nonnegative Matrices
MATLAB Exercises
Chapter Test A
Chapter Test B
7 NUMERICAL LINEAR ALGEBRA
1 FloatingPoint Numbers
2 Gaussian Elimination
3 Pivoting Strategies
4 Matrix Norms and Condition Numbers
5 Orthogonal Transformations
6 The Eigenvalue Problem
7 Least Squares Problems
MATLAB Exercises
Chapter Test A
Chapter Test B
8 ITERATIVE METHODS
9 CANONICAL FORMS
APPENDIX: MATLAB
BIBLIOGRAPHY
ANSWERS TO SELECTED EXERCISES
INDEX
1 MATRICES AND SYSTEMS OF EQUATIONS
1 Systems of Linear Equations
2 Row Echelon Form
3 Matrix Algebra
4 Elementary Matrices
S Partitioned Matrices
MATLAB Exercises
Chapter Test A
Chapter Test B
2 DETERMINANTS
1 The Determinant of a Matrix
2 Properties of Determinants
3 Cramer's Rule
MATLAB Exercises
Chapter Test A
Chapter Test B
3 VECTOR SPACES
1 Definition and Examples
2 Subspaces
3 Iinear Independence
4 Basis and Dimension
5 Change of Basis
6 Row Space and Column Space
MATLAB Exercises
Chapter Test A
Chapter Test B
4 LINEAR TRANSFORMATIONS
1 Definition and Examples
2 Matrix Representations of Linear Transformations
3 Similarity
MATLAB Exercises
Chapter Test A
Chapter Test B
5 ORTHOGONALIT
1 The Scalar Product in Rn
2 Orthogonal Subspaces
3 Least Squares Problems
4 Inner Product Spaces
5 Orthonormal Sets
6 The GramSchmidt 0rthogonalization Process
7 Orthogonal Polynomials
MATLAB Exercises
Chapter Test A
Chapter Test B
6 EIGENVALUES
1 Eigenvalues and Eigenvectors
2 Systems of Linear Differential Equations
3 Diagonalization
4 Hermitian Matrices
5 The Singular Value Decomposition
6 Quadratic Forms
7 Positive Definite Matrices
8 Nonnegative Matrices
MATLAB Exercises
Chapter Test A
Chapter Test B
7 NUMERICAL LINEAR ALGEBRA
1 FloatingPoint Numbers
2 Gaussian Elimination
3 Pivoting Strategies
4 Matrix Norms and Condition Numbers
5 Orthogonal Transformations
6 The Eigenvalue Problem
7 Least Squares Problems
MATLAB Exercises
Chapter Test A
Chapter Test B
8 ITERATIVE METHODS
9 CANONICAL FORMS
APPENDIX: MATLAB
BIBLIOGRAPHY
ANSWERS TO SELECTED EXERCISES
INDEX
展開全部
線性代數 :英文版·第７版 作者簡介
Steven J.Leon,1971年于密歇根州立大學數學系獲得博士學位,現為馬薩諸塞大學達特茅斯分校數學系首席教授,ILAS(國際線性代數協會)、MAA(美國數學學會)和SIAM(美國工業與應用數學協會)成員。他主要從事科學計算、線性代數和應用數學等領域的研究。
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