Reference Request: Witt Vectors

I learned about Witt vectors from Hasse's book "Zahlentheorie". There is an English translation by H.-G. Zimmer available: "Number Theory"

Compared to other answers I have first learned Witt vectors from a pretty unusual resource, namely Rabinoff's introductory paper, which I like mainly for the motivation section at the start. There is also an errata for it.

I learned about Witt vectors from P. Schneider's lecture notes (chapter I, section 5) which, however, are in German. They are a streamlined version of the treatment by Bourbaki, which is available in English: That is §1 of book IX in Bourbaki's Commutative Algebra.

The German wikipedia article also contains an interesting motivation of the Witt vector machinery, at least for the basic case where the ring $k$ of which we take the Witt vectors is perfect. I paraphrased that in this answer on MathOverflow some time ago: https://mathoverflow.net/a/113943/27465