An algebraic approach to geometry

1.The Birth of Analytic Geometry

2.Affine Geometry

3.More on Real Affine Spaces

4.Euclidean Geometry

5.Hermitian Spaces

6.Projective Geometry

7.Algebraic Curves

Appendices:?A.Polynomials Over a Field

B.Polynomials in Several Variables

C.Homogenous Polynomials

D.Resultants

E.Symmetric Polynomials

F.Complex Numbers

G.Quadratic Forms

H.Dual Spaces.