The surreal numbers are an enormous and extensive class of numbers. The surreals contain familiar numbers such as integers and real numbers, along with less familiar numbers such as ordinals or strictly surreal numbers. Importantly,all surreal numbers can be represented as a speciﬁc combinatorial game known as Hackenbush. In this paper, we will explore the relationship between Hackenbush and the surreal number system, which will be useful for constructing the surreal numbers. Additionally, we will explore algebraic properties of the surreal numbers (e.g. transitivity, reﬂexivity, etc.) and surreal operations such as addition and multiplication.
Brown, Aaron C., "An Analysis of The Surreal Number System" (2017). Senior Independent Study Theses. Paper 7571.
Bachelor of Arts
Senior Independent Study Thesis
© Copyright 2017 Aaron C. Brown