These notes provide a formal introduction to the theory of surreal numbers in a clear and lucid style.

These notes provide a formal introduction to the theory of surreal numbers in a clear and lucid style.

Nearly 30 years ago, John Horton Conway introduced a new way to construct numbers. Donald E. Knuth, in appreciation of this revolutionary system, took a week of

The surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J. H. Conway, the theory of surrea

Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticat