线性代数导论

出版时间：2004-11  出版社：世界图书出版公司  作者：Serge Lang  页数：293  
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内容概要

　　This book is meant as a short text in linear algebra for a one-term course. Except for an occasional example or exercise the text is logically independent of calculus， and could be taught early. In practice， I expect it to be used mostly for students who have had two or three terms of calculus. The course could also be given simultaneously with， or im mediately after， the first course in calculus.　　此书为英文版！

书籍目录

CHAPTER I Vectors1. Definition of Points in Space2. Located Vectors3. Scalar Product4. The Norm of a Vector5. Parametric Lines6. PlanesCHAPTER II Matrices and Linear Equations1. Matrices2. Multiplication of Matrices3. Homogeneous Linear Equations and Elimination4. Row Operations and Gauss Elimination5 Row Operations and Elementary Matrices6. Linear CombinationsCHAPTER III Vector Spaces1. Definitions2. Linear Combinations3. Convex Sets4. Linear Independence5. Dimension6. The Rank of a MatrixCHAPPTER IV Linear Mappings1. Mappings2. Linear Mappings3. The kernel and Image of a Linear Map4. The Rank and Linear Equations Again5. The matrix Associated with a Linear mapCHAPPTER V Composition and Inverse Mapping……CHAPPTER Ⅵ Scalar Products and OrthogonlityCHAPPTER Ⅶ DeterminantsCHAPPTER Ⅷ Eigenvectors and Eigenvalues