chapter 1 An introduction to nonlinear hyperbolic waves -- chapter 2 Hyperbolic system - some basic results -- chapter 3 Simple wave, high frequency -- chapter 4 Weakly nonlinear ray theory (WNLRT): derivation -- chapter 5 Stability of solutions near a singularity of sonic type -- chapter 6 WNLRT in a polytropic gas -- chapter 7 Compatibility conditions on a shock: single conservation law -- chapter 8 One-dimensional piston problem: an -- chapter 9 Compatibility conditions on a shock manifold in multi-dimensions -- chapter 10 Propagation of a curved weak shock.