1 Prehistory of Quasicrystals.- 2 A Guide to Mathematical Quasicrystals.- 3 Aperiodic Tilings on the Computer.- 4 Quasicrystallography.- 5 Experimental Determination of the Structure of Quasicrystalline Alloys: Experimental Techniques and Modeling.- 6 Electron Microscopy and Surface Investigations of Quasicrystals.- 7 Structure of Quasicrystals via Pair Potentials.- 8 Quasicrystals as Hierarchical Packing of Overlapping Clusters.- 9 Modeling Quasicrystal Growth.- 10 Production of Quasicrystalline Alloys and Phase Diagrams.- 11 Undercooling of Quasicrystal-Forming Liquid Alloys.- 12 Phasons, Dislocations, and Cracks.- 13 Defects.- 14 Ion Channeling in Quasicrystals.- 15 Mechanical Properties of Quasicrystals.- 16 Electronic Conductivity of Quasicrystals and Approximants.- 17 Electron Densities of States in Quasicrystals and Approximants.- 18 Electronic Transport Properties of Quasicrystalline Thin Films.- 19 Electron Transport in a Magnetic Field: A Landauer-Formula Approach.- 20 Phonons and Electrons in Quasicrystals.- 21 Computer Simulations of Lattice Dynamics in Quasicrystals.- 22 Experimental Determination of the Dispersion of Vibrations in Monodomain Quasicrystalline Alloys.- 23 Vibrational Density of States of Stable and Metastable Quasicrystalline Alloys.- 24 Thermodynamics of Quasicrystals.- 25 Magnetic Properties of Quasicrystals and Approximants.- 26 Bulk and Surface Properties of Quasicrystalline Materials and Their Potential Applications.- A Further Reading: Literature on Quasicrystals.