For the review of ZF set theory and the prerequisites from Logic:

  1. D. Goldrei, Classic Set Theory (Chapman and Hall, 1996).
  2. K. Kunen, The Foundations of Mathematics (College Publications, 2009).

For course topics (and much more):

  1. K. Kunen, Set Theory (College Publications, 2011) Chapters (I and II).
Further Reading:
  1. K. Hrbacek and T. Jech, Introduction to Set Theory (3rd edition, M Dekker, 1999).
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