線性代數(shù)

內(nèi)容概要

本書是教育科學“十五”國家規(guī)劃課題研究成果，對線性代數(shù)的內(nèi)容做了較準確的、深入淺出的英文表述。內(nèi)容包括行列式、矩陣、向量、方程組解的結(jié)構(gòu)、矩陣的特征值與特征向量等。數(shù)學專業(yè)技術(shù)符號系統(tǒng)與國內(nèi)現(xiàn)行教學規(guī)范一致。分節(jié)配備了習題并附有答案。本書適合作為高等院校同名課程雙語教學的配套教材，也可以作為英語專業(yè)數(shù)學課程的教科書，以及數(shù)學與應(yīng)用數(shù)學、信息與計算科學專業(yè)學科英語的閱讀讀物。

書籍目錄

CHAPTER Ⅰ   DETERMINANTS　Determinants of Order 2 and 3　　1.1  Determinants of order 2　　1.2  Determinants of order 3　　1.3  Exercises　Determinants of Order n　　2.1"   Defining by numbers of inverted sequence　　2.2  Defining by induction　　2.3  Exercises　Properties of Determinants　　3.1  Properties of determinants　　3.2  Examples　　3.3  Exercises　Cramer' s Rule　　4.1  Background　　4.2  Cramer's rule　　4.3  ExercisesCHAPTER Ⅱ  MATRICES　Definition of Matrices　　1.1  Definition of a matrix　　1.2  Determinant of a square matrix　　1.3  Transpose of a matrix　　1.4  Exercises　Addition and Multiplication by a Number　　2.1  Addition of matrices　　2.2  Multiplication of a matrix by a number　　2.3  Calculation rules　　2.4  Exercises　3  Multiplication of Matrices　　3.1  Definition of multiplication　　3.2  Calculation rules　　3.3  Unit matrix　　3.4  Powers of square matrices　　3.5  Exercises　4  Inverse of a Matrix    4.1  Inverse of a matrix of order 2    4.2  Inverse of an n x n matrix    4.3  Properties of inverse matrices    4.4  Exercises　5  Elementary Operations of a Matrix    5.1  Definition of elementary operations    5.2  Standard form of a matrix    5.3  Elementary square matrix    5.4  Find inverse matrices by elementary operations ~    5.5  Exercises　6　Rank of a Matrix　　6.1  Subdeterminants of a matrix　　6.2  Definition of rank of a matrix　　6.3　Rank and elementary operations　　6.4  Examples　　6.5  Exercises　7　Elementary Operations and Elimination　　7.1  Representation of equations by matrices　　7.2  Elimination in simple cases　　7.3  The general case of elimination　　……CHAPTER Ⅲ VECTORSCHAPTER Ⅳ STRUCTURE OF SOLUTIONS FOR EQUATIONSCHAPTER Ⅴ EIGENVALUESANSWERS TO EXERCISESINDEXREFERENCES

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