Energetic particles, traditionally called Cosmic Rays, were discovered nearly a hundred years ago, and their origin is still uncertain. Their main constituents are the normal nuclei as in the standard cosmic abundances of matter, with some enhancements for the heavier elements; there are also electrons, positrons and anti-protons, but no anti-nuclei. Today we also have information on isotopic abundances, which show some anomalies, as compared with the interstellar medium. The known spectrum extends over energies from a few hundred MeV to 3*10^{20} eV and shows few clear spectral signatures: There is a small spectral break near 5*10^{15} eV, the "knee", where the spectrum turns down; there is another spectral break near 3*10^{18} eV, the "ankle", where the spectrum turns up again. Up to the ankle the cosmic rays are usually interpreted as originating from Galactic supernova explosions; however, we do not know what the origin of the knee is. The particles beyond the ankle have to be extragalactic, it is usually assumed, because the Larmor radii in the Galactic magnetic field are too large; this argument could be overcome if those particles were very heavy nuclei as Fe, an idea which appears to be inconsistent, however, with the airshower data immediately above the energy of the ankle. Due to interaction with the cosmic microwave background there is a strong cut-off expected near 5*10^{19} eV, which is, however, not seen; The high energy cosmic rays beyond this "GZK-cutoff" (after its discoverers Greisen, Zatsepin and Kuzmin) are the challenge to interpret. We will describe the various approaches to understand the origin and physics of cosmic rays (abridged).

26 latex pages, 2 postscript figures included; introductory chapter to "Physics and Astrophysics of Ultra-High-Energy Cosmic Rays", Lecture Notes in Physics vol. 576 (eds.: M.Lemoine, G.Sigl), based on UHECR2000 (Meudon, June 26-29, 2000), see http://link.springer.de/link/service/series/2669/tocs/t1576.htm