Vectors, Matrices and GeometryThis 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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內容
| 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 |
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常見字詞
algebraic angle asymptotes augmented matrix called circle coefficient matrix collinear column transformations column vectors complex numbers components cone conic coordinate axes coordinate planes cross product curve cylinder defined definition denoted dependent diagonal directrix displacement vector distance dot product elementary matrices elementary row transformations ellipse ellipsoid example EXERCISES find Find the equation Find the values first foci following theorem geometry Hence deduce hyperbola hyperboloid i-th invertible linear combination linear equations linearly independent linearly independent vectors m x n-matrix major axis minor axis non-zero vector normal vector obtain origin orthogonal pair parabola parabola y2 passes perpendicular plane section position vectors proof properties quadratic equation quadric surfaces real numbers respectively rotation row rank row vectors satisfies scalar multiple Show Similarly slope square matrix standard position straight line subspace symmetry system of linear tangent THEOREM Let three vectors triangle unit coordinate vectors vector space R2 vertex y-axis z-axis
書目資訊
| 書名 | Vectors, Matrices and Geometry |
| 作者 | K.T. Leung, S.N. Suen |
| 出版者 | Hong Kong University Press, 1994 |
| ISBN | 9622093604, 9789622093607 |
| 頁數 | 356 頁 |
| 匯出書目資料 | BiBTeX EndNote RefMan |