Chapter 1: Macroscopic Connectivity as the Essential Property of Disordered Materials and Media.- Chapter 2: Classical and Poor Man's Percolation Models.- Chapter 3: Variations of the Classical Percolation Model.- Chapter 4: Characterization of Porous Media.- Chapter 5: Percolation Properties of Fracture and Fault Networks.- Chapter 6: Earthquakes and Percolation.- Chapter 7: Conductivity, Diffusivity, and Permeability of Porous Materials.- Chapter 8: Mass Transport, Mixing, and Dispersion in Flow Through Porous Media.- Chapter 9: Multiphase Fluid Flow in Porous Media.- Chapter 10: Percolation in Evolving Porous Materials: Catalyst Deactivation, Gasification, Fragmentation, and Precipitation.- Chapter 11: Percolation, and Rigidity and Elastic Properties of Materials.- Chapter 12: Morphological and Transport Properties of Composite Materials.- Chapter 13: Rheology and Elastic Properties of Network Glasses, Branched Polymers, and Gels.- Chapter 14: Vibrational Density of States of Heterogeneous Materials.- Chapter 15: Hopping Conductivity of Heterogeneous Materials.- Chapter 16: Applications of Invasion Percolation.- Chapter 17: Percolation in Random Graphs and Complex Network.- Chapter 18: Percolation in Biological Systems.- Chapter 19: Percolation Theory at the Intersection of Ecology, Hydrology, and Geochemistry.- Chapter 20: Explosive Percolation and its Applications.- Chapter 21: Directed Percolation: From Turbulent Flow to Catalysis and Brain.- Chapter 22: Percolation in Large-Scale Problems.