线性代数与几何

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作   者:凯珀

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ISBN:9787560358932

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简介

目录


【目 录】

Chapter 1 VECTORS IN THE PLANE AND IN SPACF//l

Chapter 2 SUBSET,PRODLCT SET,RELATION AND MAPPINC//4

Chapter 3 THE n-DIMENSIONAL VECTOR SPACE Vm//8

Chapter 4 THE PARAMETRIC REPRESENT ATION OF A LINE//12

Chapter 5 SOME FUNDAMENTAL THEOREMS//19

Chapter 6 FIRST DEGREE FUNCTIONS ON,AND LINEAR VARIETIES IN An//28

Chapter 7 LINEAR FUNCTIONS AND LINES IN A2 AND An APPLICATIONS//35

Chapter 8 A FINITE AFFINE PLANE//47

Chapter 9 HOMOMORPHISMS OF VECTOR SPACES//51

Chapter 10 MATRICES//62

Chapter 11 SETS OF LINEAR EQLATIONS//71

Chapter 12 FUNCTIONS OF SEVERAL VARIABLES DETERMINANT//75

Chapter 13 APPLICATIONS OF DETERMINANTS VOLUME//86

Chapter 14 QUADRATIC AND SYMMETRIC BILINEAR FUNCTIONS//93

Chapter 15 EUCLIDEAN SPACE//113

Chapter 16 SOME APPLICATIONS IN STATISTICS//127

Chapter 17 CLASSIFICATION OF ENDOMORPHISMS//138

Chapter18 QUADRATIC FUNCTIONS ON AND QUADRATIC VARIETIES IN EUCLIDEAN SPACES//158

Chapter 19 MOTIONS AND AFFINITIES//168

Chapter 20 PROJECTIVE GEOMETRY//184

Chapter 21 NON-EUCLIDEAN PLANES//209

Chapter 22 SOME TOPOLOGICAL REMARKS//219

Chapter 23 HINTS AND ANSWERS TO THE PROBLEMS IN CHAPTER3-21//226


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