  We review the approach to the standard model of particle interactions based
on spectral noncommutative geometry. The paper is (nearly) self-contained and
presents both the mathematical and phenomenological aspects. In particular the
bosonic spectral action and the fermionic action are discussed in detail, and
how they lead to phenomenology. We also discuss the Euclidean vs. Lorentz
issues and how to go beyond the standard model in this framework.
