1. Introduction.- Part 1. Connectivity of Large Static Networks.- 2. Large Network Models and Their Implications.- 3. Connectivity of Large Wireless Networks: Sufficient and Necessary Conditions.- 4. Giant Component in Large Wireless Networks.- 5. Critical Density for Percolation.- 6. Phase Transitions in Large Networks.- 7. Connectivity of Large Wireless Networks in the Presence of Interference.- Part 2. Connectivity of Highly Dynamic Networks.- 8. Connectivity of Dynamic Networks.- 9. Information Propagation in One-Dimensional Dynamic Networks.- 10. Information Propagation in Two-Dimensional Dynamic Networks.- Part 3. Connectivity of Small to Medium Sized Networks.- 11. Connectivity of One-Dimensional Small to Medium Sized Networks.- 12. Connectivity of Two-Dimensional Small to Medium Sized Networks.- 13. A New Measure of Wireless Network Connectivity.- Part 4. Applications of Connectivity Studies.- 14. Applications of Connectivity Studies.