The main reference for the first part of this course are the lecture notes "An Introduction to p-adic L-functions" by J. Rodriguez Jacinto and C. Williams and for the second part the Arizona Winter school 2018 ones of C. Skinner.
N. Bourbaki, Commutative algebra. Chapters 1–7. Elem. Math. (Berlin) Springer-Verlag, Berlin, 1989. (Chapter VII)
J. Coates, R. Sujatha. Cyclotomic fields and zeta values. Springer Monogr. Math. Springer-Verlag, Berlin, 2006.
R. Greenberg. Iwasawa theory of elliptic curves, Arithmetic theory of elliptic curves (Cetraro 1997), Lecture notes in Math. vol. 1716, Springer-Verlag, Berlin, 1999, pp.51-144.
N. Koblitz. p-adic numbers, p-adic analysis, and zeta-functions, Second edition. Grad. Texts in Math., 58. Springer-Verlag, New York, 1984.
J. Neukirch, A. Schmidt, K. Wingberg. Cohomology of number fields; Second edition. Grundlehren Math. Wiss., 323, Springer-Verlag, Berlin, 2008.
L.C. Washington. Introduction to cyclotomic fields, Second edition. Grad. Texts in Math., 83, Springer-Verlag, New York, 1997.