# What's a good source on how to construct all sets of numbers?

Lately I've been interested in building, formally, all sets of numbers, starting from ℕ, then ℤ, then ℚ, then ℙ, then ℝ, then iℝ, then ℂ.

The only book I have come up, so far, is "Foundations of analysis" by Edmund Landau, which seems to build them like this : ℕ, ℤ and ℚ, ℝ, ℂ. Is that one a good book? which other source would you recommend?

This would also include the mathematical operations each set has.

Also, I'm corious about why ℕ⊂ℤ⊂ℚ, (ℚ∪ℙ)⊂ℝ, ..., and so on.

• What's $\Bbb P$? – user228113 Nov 16 '17 at 6:28