Editing Surreal number (section)

==Further reading==
* [[Donald Knuth]]'s original exposition: ''Surreal Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness'', 1974, {{isbn|0-201-03812-9}}. More information can be found at [https://web.archive.org/web/20230307045844/https://www.cs.stanford.edu/~knuth/sn.html the book's official homepage] (archived).
* An update of the classic 1976 book defining the surreal numbers, and exploring their connections to games: John Conway, ''On Numbers And Games'', 2nd ed., 2001, {{isbn|1-56881-127-6}}.
* An update of the first part of the 1981 book that presented surreal numbers and the analysis of games to a broader audience:  Berlekamp, Conway, and Guy, ''Winning Ways for Your Mathematical Plays'', vol. 1, 2nd ed., 2001, {{isbn|1-56881-130-6}}.
* [[Martin Gardner]], ''Penrose Tiles to Trapdoor Ciphers,''  W. H. Freeman & Co., 1989, {{isbn|0-7167-1987-8}}, Chapter 4.  A non-technical overview; reprint of the 1976 ''Scientific American'' article.
* Polly Shulman, [https://www.discovermagazine.com/the-sciences/infinity-plus-one-and-other-surreal-numbers "Infinity Plus One, and Other Surreal Numbers"],  ''[[Discover (magazine)|Discover]]'', December 1995.
* A detailed treatment of surreal numbers: Norman L. Alling, ''Foundations of Analysis over Surreal Number Fields'', 1987, {{isbn|0-444-70226-1}}.
* A treatment of surreals based on the sign-expansion realization: Harry Gonshor, ''An Introduction to the Theory of Surreal Numbers'', 1986, {{isbn|0-521-31205-1}}.
* A detailed philosophical development of the concept of surreal numbers as a most general concept of number: [[Alain Badiou]], ''Number and Numbers'',  New York: Polity Press, 2008, {{isbn|0-7456-3879-1}} (paperback), {{isbn|0-7456-3878-3}} (hardcover).
* {{cite book | url=http://homotopytypetheory.org/book/ | title=Homotopy Type Theory: Univalent Foundations of Mathematics | author=The Univalent Foundations Program | publisher=[[Institute for Advanced Study]] | location=Princeton, NJ | year=2013 | mr=3204653}} The surreal numbers are studied in the context of [[homotopy type theory]] in section 11.6.