Witt Vectors: A Complete Introduction

Witt vectors are my old friends. I had a very hard time to digest it in the book of Jacobson at the first time we met. However, things are easier now when I read the book of Schneider about Galois representation. His treatment about Witt vectors is general for local fields. The main thing is that for Witt's vectors, Frobenius acts in a nice way. We don't have it in the ring of integer of a local field of characteristic $0$, though they are isomorphic, if we construct Witt vectors from the residue field with coefficients in our given local field.