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Computable number
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==Further reading== {{refbegin|30em}} *{{cite journal |first=Oliver |last=Aberth |title=Analysis in the Computable Number Field |journal=Journal of the Association for Computing Machinery |year=1968 |volume=15 |issue=2 |pages=276β299 |doi=10.1145/321450.321460 |s2cid=18135005 |doi-access=free }} This paper describes the development of the calculus over the computable number field. *{{cite book |first1=Errett |last1=Bishop |first2=Douglas |last2=Bridges |title=Constructive Analysis |publisher=Springer |year=1985 |isbn=0-387-15066-8 }} *{{cite book |first1=V. |last1=Stoltenberg-Hansen |first2=J.V. |last2=Tucker |chapter=Computable Rings and Fields |editor-first=E.R. |editor-last=Griffor |title=Handbook of Computability Theory |chapter-url=https://books.google.com/books?id=KqeXZ4pPd5QC&pg=PA363 |date=1999 |publisher=Elsevier |isbn=978-0-08-053304-9 |pages=363β448}} *{{cite book |first=Klaus |last=Weihrauch |title=Computable analysis |series=Texts in Theoretical Computer Science |publisher=Springer |year=2000 |isbn=3-540-66817-9 }} Β§1.3.2 introduces the definition by [[nested sequences of intervals]] converging to the singleton real. Other representations are discussed in Β§4.1. *{{cite book |first=Klaus |last=Weihrauch |url=http://eccc.uni-trier.de/static/books/A_Simple_Introduction_to_Computable_Analysis_Fragments_of_a_Book/ |title=A simple introduction to computable analysis |year=1995 |publisher=Fernuniv., Fachbereich Informatik}} {{refend}} {{Number systems}} {{DEFAULTSORT:Computable Number}} [[Category:Computability theory]] [[Category:Theory of computation]]
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