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线性代数导论（第二版）（英文版）

线性代数导论（第二版）（英文版）

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作者: Serge Lang 编

出版社: 世界图书出版公司

出版时间: 2004-11

版次: 1

ISBN: 9787506271868

定价: 49.00

装帧: 平装

开本: 其他

纸张: 胶版纸

页数: 293页

分类: 教材教辅考试>教材>大学教材>工程技术

21人买过

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. CHAPTER I Vectors

  1. Definition of Points in Space

  2. Located Vectors

  3. Scalar Product

  4. The Norm of a Vector

  5. Parametric Lines

  6. Planes

CHAPTER II Matrices and Linear Equations

  1. Matrices

  2. Multiplication of Matrices

  3. Homogeneous Linear Equations and Elimination

  4. Row Operations and Gauss Elimination

  5 Row Operations and Elementary Matrices

  6. Linear Combinations

CHAPTER III Vector Spaces

  1. Definitions

  2. Linear Combinations

  3. Convex Sets

  4. Linear Independence

  5. Dimension

  6. The Rank of a Matrix

CHAPPTER IV Linear Mappings

  1. Mappings

  2. Linear Mappings

  3. The kernel and Image of a Linear Map

  4. The Rank and Linear Equations Again

  5. The matrix Associated with a Linear map

CHAPPTER V Composition and Inverse Mapping

……

CHAPPTER Ⅵ Scalar Products and Orthogonlity

CHAPPTER Ⅶ Determinants

CHAPPTER Ⅷ Eigenvectors and Eigenvalues
内容简介:
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.
目录:
CHAPTER I Vectors

  1. Definition of Points in Space

  2. Located Vectors

  3. Scalar Product

  4. The Norm of a Vector

  5. Parametric Lines

  6. Planes

CHAPTER II Matrices and Linear Equations

  1. Matrices

  2. Multiplication of Matrices

  3. Homogeneous Linear Equations and Elimination

  4. Row Operations and Gauss Elimination

  5 Row Operations and Elementary Matrices

  6. Linear Combinations

CHAPTER III Vector Spaces

  1. Definitions

  2. Linear Combinations

  3. Convex Sets

  4. Linear Independence

  5. Dimension

  6. The Rank of a Matrix

CHAPPTER IV Linear Mappings

  1. Mappings

  2. Linear Mappings

  3. The kernel and Image of a Linear Map

  4. The Rank and Linear Equations Again

  5. The matrix Associated with a Linear map

CHAPPTER V Composition and Inverse Mapping

……

CHAPPTER Ⅵ Scalar Products and Orthogonlity

CHAPPTER Ⅶ Determinants

CHAPPTER Ⅷ Eigenvectors and Eigenvalues

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