chapter 1 Preliminary -- chapter 2 Theory of Compensated Compactness -- chapter 3 Cauchy Problem for Scalar Equation -- chapter 4 Preliminaries in 2× 2 Hyperbolic System -- chapter 5 A Symmetry System -- chapter 6 A System of Quadratic Flux -- chapter 7 Le Roux System -- chapter 8 System of Polytropic Gas Dynamics -- chapter 9 Two Special Systems of Euler Equations -- chapter 10 General Euler Equations of Compressible Fluid Flow -- chapter 11 Extended Systems of Elasticity -- chapter 12 Lp Case to Systems of Elasticity -- chapter 13 Preliminaries in Relaxation Singularity -- chapter 14 Stiff Relaxation and Dominant Diffusion -- chapter 15 Hyperbolic Systems with Stiff Relaxation -- chapter 16 Relaxation for 3× 3 Systems.