1. Introduction -- 2. The world of nanoparticles -- 3. Introduction to electrodynamics of metals -- 4. Surface plasmons -- 5. The theory of plasmon oscillations in nanoparticles -- 6. Optical properties of spherical particles -- 7. Plasmonic properties of nanospheroids -- 8. Optical properties of a three-axial nanoellipsoid -- 9. Localized plasmons in polyhedral nanoparticles -- 10. Localized plasmons in nanoparticle clusters -- 11. Optical properties of metamaterials and nanoparticles made from them -- 12. Optical properties of nanoholes in metal films -- 13. Applications of nanoplasmonics -- 14. Conclusion.