Vectors, Matrices and Geometry

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Hong Kong University Press, 1994年8月1日 - 356 頁
This book is the last volume of a three-book series written for Sixth Form students and first-year undergraduates. It introduces the important concepts of finite-dimensional vector spaces through the careful study of Euclidean geometry. In turn, methods of linear algebra are then used in the study of coordinate transformations through which a complete classification of conic sections and quadric surfaces is obtained. The book concludes with a detailed treatment of linear equations in n variables in the language of vectors and matrices. Illustrative examples are included in the main text and numerous exercises are given in each section. The other books in the series are Fundamental Concepts of Mathematics (published 1988) and Polynomials and Equations (published 1992).

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Ch 1 Vectors and geometry in the plane
1
Ch 2 Vectors and geometry in space
39
Ch 3 Conic sections
89
Ch 4 Quadric surfaces
167
Ch 5 Higher dimensional vector spaces
207
Ch 6 Matrix and determinant
243
Ch 7 Linear equations
281
Numerical answers to exercises
315
Index
341
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