chapter 1. Characteristics of geographic information -- chapter 2. Numbers and numerical analysis -- chapter 3. Algebra : treating numbers as symbols -- chapter 4. The geometry of common shapes -- chapter 5. Plane and spherical trigonometry -- chapter 6. Differential and integral calculus -- chapter 7. Matrices and determinants -- chapter 8. Vectors -- chapter 9. Curves and surfaces -- chapter 10. 2D/3D transformations -- chapter 11. Map projections -- chapter 12. Basic statistics -- chapter 13. Correlation and regression -- chapter 14. Best-fit solutions.