Surreal numbers, exponentiation and derivations

Abstract

We give a presentation of Conway's surreal numbers focusing on the connections with transseries and Hardy fields and trying to simplify when possible the existing treatments.

References in corpus (5)

• The exponential-logarithmic equivalence classes of surreal numbers
• Integration on the Surreals: a Conjecture of Conway, Kruskal and Norton
• Transseries as germs of surreal functions
• Exponential fields and Conway's omega-map
• Model completeness for the differential field of transseries with exponentiation