LINEAR ALGEBRA AND GEOMETRY

Contents:

1. Real numbers

2. Axioms of Euclidean Geometry

3. Vector spaces

4. Affine plane geometry

5. Euclidean plane geometry

6. Three-dimensional affine geometry

7. Three-dimensional Euclidean geometry

Appendix I. On the “measurability” of angles

Appendix II. Geometry of a symmetric bilinear form. “Projective” and “non-Euclidean” languages

Appendix III. Inversions and the conformal group

Appendix IV. Questions and rotations.