| "A Number is a multitude composed of units" (Euclid) |
| "..there are no irrational numbers at all" (Kronecker) |
| Rationality, Elliptic Curves and Fermat's Last Theorem |
| Algebraic or Transcendential? |
| Complex Arithmetic |
| Quadratic, Cubic, and Quartic Equations |
| Stereographic Projection |
| Proof of the Fundamental Theorem of Algebra |
| Symmetries of Regular Polygons |
| Discrete Subgroups of Iso(R^2) |
| Mobius Geometry |
| Complex Linear Fractional Transformations |
| "Out of nothing I have created a new universe" (Bolyai) |
| Fuchsian Groups |
| Riemann Surfaces |
| General Surfaces |
| The Five Platonic Solids |
| Finite Mobius Groups |
| Detour in Topology: Euler-Poincare Characteristic |
| Detour in Graph Theory: Euler, Hamilton and the Four Color Theorem |
| Dimension Leap |
| Quaternions |
| Back to R^3! |
| Invariants |
| The Icosahedron and the Unsolvable Quintic |
| The Fourth Dimension |
| Appendices |
| Solutions for 100 Selected Problems |
| Index |
| "A Number is a multitude composed of units" (Euclid) |
| "..there are no irrational numbers at all" (Kronecker) |
| Rationality, Elliptic Curves and Fermat's Last Theorem |
図書
