Guide to cardinals and ordinals

Question

I'm looking for a short textbook concerning cardinal and ordinal numbers (their definition and arithmetic). It may be rather formal or complicated, but shall contain the necessary methods for a mathematician. Is there such a guide and which one you can recommend?

Answer 1

See Set Theory by Thomas Jech, chapter 2 and 3. Goes into good detail. The book as a whole is great for learning set theory.

Answer 2

Set Theory : An Introduction To Independence Proofs, by Kenneth Kunen.