Textbook in PDF format

Contents :
Title Page
Copyright Page
Dedication
Preface
Reference
Contents
Lines And Planes
Coordinate Geometry
Equations Of A Line
Vector Addition
The Inner Product
Linear Dependence
Equations Of A Plane
Determinants And Linear Equations
The Problem Defined
Determinants
Evaluation Of A Determinant
Intersections Of Three Planes
Homogeneous Equations
Matrices
Matrix Addition And Multiplication
Transpose Of A Matrix
Inverse Of A Matrix
Reduction Of A Matrix To Canonical Form
Inverse Of A Matrix
The Approximate Inverse Of A Matrix
Linear Transformations
Groups And Linear Transformation
Definition Of A Group
The Symmetric Group
The Group Of A Square
Rotations And Reflections
The Group Of The Cube
Euler’ Formula
The Regular Polyhedra
Polytopes
Vectors And Vector Spaces
Basis Vectors
Gram-Schmidt Orthogonalization Process
The Vector Product U × V
Distance Between Two Skew Lines
N-Dimensional Volume
Subspaces Of Υn
Equations Of A Subspace
Orthogonal Projection
Conics And Quadrics
Circles And Spheres
Conics In Cartesian Coordinates
Quadrics And The Lines On Them
Cones, Cylinders, And Surfaces Of Revolution
Pairs Of Lines And Planes
A Quadric To Contain Three Skew Lines
The Intersection Of Two Quadrics
Homogeneous Coordinates And Projective Geometry
Euclidean Geometry
Homogeneous Coordinates
Axioms Of Projective Geometry
Theorems Of Desargues And Pappus
Affine And Euclidean Geometry
Desargues’ Theorem In The Euclidean Plane
Pappus’ Theorem In The Euclidean Plane
Cross Ratio
Geometry On The Sphere
Spherical Trigonometry
The Polar Triangle
Area Of A Spherical Triangle
The Inversion Transformation
Geometrical Properties Of Inversion
Stereographic Projection
Elliptic Geometry
Hyperbolic Geometry
Reduction Of Real Matrices To Diagonal Form
Introduction
Change Of Basis
Characteristic Vectors
Collineations
Reduction Of A Symmetric Matrix
Similar Matrices
Orthogonal Reduction Of A Symmetric Matrix
The Real Classical Groups
Reduction Of The General Conic To Normal Form
Appendix
Answers To Exercises
Index