The properties of cosmic rays with energies above 1PeV have to be deduced
from the spacetime structure and particle content of the air showers which they
initiate. In this review, a summary of the phenomenology of these giant air
showers is presented. We describe the hadronic interaction models used to
extrapolate results from collider data to ultra high energies, an also the main
electromagnetic processes that govern the longitudinal shower evolution as well
as the lateral spread of particles.Comment: Invited talk at the Fifth International Workshop on New Worlds in
Astroparticle Physics, 8-10 January 2005, Faro, Portugal
(http://www.ualg.pt/fct/fisica/centra/a2005.html). Based on the review
article Annals Phys. 314:145-207, 2004. Typo in the labelling of Fig.2
correcte