In this Book

Vectors, Matrices and Geometry
summary
This book 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.

Table of Contents

  1. Cover
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  1. Title Page, Copyright
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  1. CONTENT
  2. pp. v-vi
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  1. PREFACE
  2. pp. vii-viii
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  1. CHAPTER ONE: VECTORS AND GEOMETRY IN THE PLANE
  2. pp. 2-38
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  1. CHAPTER TWO: VECTORS AND GEOMETRY IN SPACE
  2. pp. 39-89
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  1. CHAPTER THREE: CONIC SECTIONS
  2. pp. 90-166
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  1. CHAPTER FOUR: QUADRIC SURFACES
  2. pp. 167-206
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  1. CHAPTER FIVE: HIGHER DIMENSIONAL VECTOR SPACES
  2. pp. 207-242
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  1. CHAPTER SIX: MATRIX AND DETERMINANT
  2. pp. 243-280
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  1. CHAPTER SEVEN: LINEAR EQUATIONS
  2. pp. 290281-314
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  1. NUMERICAL ANSWERS TO EXERCISES
  2. pp. 315-340
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  1. INDEX
  2. pp. 341-348
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