1 Complex Plasma — Why It Is an Unusual State of Matter?.- 1.1 General Physical Differences Between Complex Plasma and Ordinary Matter.- 1.2 General Terminology in Complex Plasma and Ordinary Matter.- 1.3 History: Complex Plasmas in Space Physics.- 1.4 Problems of Strong Coupling in Plasmas.- 1.5 Openness of Complex Plasma Systems and Long-range Collective Interactions.- 1.6 Plasma Condensation.- 1.7 Special Aspects of Complex Plasma Investigations.- 1.8 Structures and Self-organization in Complex Plasmas.- 1.9 Outlook of the Subsequent Presentation.- References.- 2 Why Complex Plasmas Have Many Applications in Future Technology?.- 2.1 Main Discoveries in Applications of Complex Plasmas.- 2.2 Computer Technology.- 2.3 First Steps to Using Complex Plasma Properties in Computer Industry.- 2.4 New Surfaces, New Materials.- 2.5 New Energy Production.- 2.6 Environmental Problems.- References.- 3 Elementary Processes in Complex Plasmas.- 3.1 Screening of Grain Field in a Plasma.- 3.2 Charging of Grains in Partially Ionized Plasma.- 3.3 Forces Acting on Ions.- 3.4 Forces Acting on Grains.- 3.5 Forces Acting on Electrons: Characteristic Electric Fields.- References.- 4 Collective Effects in Complex Plasmas.- 4.1 Collective Linear Modes.- 4.2 Universal Instability of a Complex Plasma.- 4.3 Collective Modes Excited by Fast Particles.- 4.4 Observations of Collective Modes.- 4.5 Problems to be Solved for Collective Modes.- 4.6 Fluctuations, Collective Pair Interactions, and Pair Correlation Functions.- References.- 5 Micro-particle Collective and Non-collective Pair Interactions.- 5.1 General Properties of Micro-particle Pair Interactions.- 5.2 Shadow Non-collective Attraction Forces.- 5.3 Collective Attraction for Linear Screening.- 5.4 Collective Interactions for Non-linearScreening.- 5.5 Measurements of Screened Potential in Grain-grain Collisions.- References.- 6 Experiments on Plasma Crystals and Long-range Correlations.- 6.1 Plasma Crystals.- 6.2 Melting and Phase Transitions.- 6.3 Paradigms for Plasma Crystal Formation.- 6.4 Inspiration from Experiments.- References.- 7 Mono-layer Plasma Crystals and Clusters.- 7.1 Mono-layer Plasma Crystals.- 7.2 2D Plasma Clusters.- References.- 8 Comments on Other Dust Structures: Concluding Remarks.- 8.1 Dust Helical Clusters.- 8.2 Disordered Grain Structures.- 8.3 Dust Wall Sheaths.- 8.4 Dust Structures between Walls.- 8.5 Dust Convection in Structures.- 8.6 Hybrid Dust Structures.- 8.7 Micro-gravity Experiments.- 8.8 Future Research: Outlook for Complex Plasmas.- 8.9 Conclusion.- References.