Solutions to Penrose's ‘Road To Reality’
Chapter 8: Riemann surfaces and complex mappings
| §8.1 The idea of a Riemann surface | ||
| 8.1 | * | Riemann surface for zm/n |
| 8.2 | ** | Riemann surface for (1-z4)1/2 |
| 8.3 | ** | Riemann surface for log z |
| §8.2 Conformal mappings | ||
| 8.4 | ** | The conformal mapping 1/z |
| 8.5 | * | Bilinear transformations |
| §8.3 The Riemann sphere | ||
| 8.6 | ** | Stereographic projections of the Riemann sphere |
| 8.7 | ** | A conformal transformation of the Riemann sphere |
| §8.4 The genus of a compact Riemann surface | ||
| 8.8 | *** | Symmetries of complex tori |