  On Cuesta-Conway numbers as an extension of Cantor's ordinals: A short
introduction to surreal numbers. The class of Cuesta-Conway numbers, the
surreal numbers, can be defined simply, starting from their normal forms
(families of exponentials indexed by ordinals), as an extension of the reals
and ordinals from which easily follow addition, multiplication, and total order
relation. A construction of this class yields an increasing sequence of
real-closed fields, preliminary, so to say. A complete proof is also given the
well-known result that the class of surreal numbers is a totally ordered,
commutative, real-closed field!
