Traditional Analysis of Nonlinear Wave Propagation in Solids / Paradigms and Challenges in Shock Wave Research / The Universal Role of Turbulence in the Propagation of Strong Shocks and Detonation Waves / What is a Shock Wave? -- The View from the Atomic Scale / Meso-Macro Energy Exchange in Shock-Deformed and Fractured Solids / The Shock Wave as a Nonequilibrium Transport Process / Non-Equilibrium Evolution of Collective Microdamage and Its Coupling with Mesoscopic Heterogeneities and Stress Fluctuations / Responses of Condensed Matter to Impact / The Discontinuous Shock--Fact or Fancy? / What is a Shock Wave to an Explosive Molecule?