Mathematical theory of domains:
Domain theory is an established part of theoretical computer science, used in giving semantics to programming languages and logics. In mathematics and logic it has also proved to be useful in the study of algorithms. This book is devoted to providing a unified and self-contained treatment of the sub...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1994
|
Schriftenreihe: | Cambridge tracts in theoretical computer science
22 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 Volltext |
Zusammenfassung: | Domain theory is an established part of theoretical computer science, used in giving semantics to programming languages and logics. In mathematics and logic it has also proved to be useful in the study of algorithms. This book is devoted to providing a unified and self-contained treatment of the subject. The theory is presented in a mathematically precise manner which nevertheless is accessible to mathematicians and computer scientists alike. The authors begin with the basic theory including domain equations, various domain representations and universal domains. They then proceed to more specialized topics such as effective and power domains, models of lambda-calculus and so on. In particular, the connections with ultrametric spaces and the Kleene–Kreisel continuous functionals are made precise. Consequently the text will be useful as an introductory textbook (earlier versions have been class-tested in Uppsala, Gothenburg, Passau, Munich and Swansea), or as a general reference for professionals in computer science and logic |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (xii, 349 pages) |
ISBN: | 9781139166386 |
DOI: | 10.1017/CBO9781139166386 |
Internformat
MARC
LEADER | 00000nmm a2200000zcb4500 | ||
---|---|---|---|
001 | BV043940917 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 161206s1994 |||| o||u| ||||||eng d | ||
020 | |a 9781139166386 |c Online |9 978-1-139-16638-6 | ||
024 | 7 | |a 10.1017/CBO9781139166386 |2 doi | |
035 | |a (ZDB-20-CBO)CR9781139166386 | ||
035 | |a (OCoLC)967696504 | ||
035 | |a (DE-599)BVBBV043940917 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
049 | |a DE-12 |a DE-92 | ||
082 | 0 | |a 511.3 |2 20 | |
084 | |a SK 130 |0 (DE-625)143216: |2 rvk | ||
084 | |a ST 120 |0 (DE-625)143585: |2 rvk | ||
100 | 1 | |a Stoltenberg-Hansen, Viggo |e Verfasser |4 aut | |
245 | 1 | 0 | |a Mathematical theory of domains |c Viggo Stoltenberg-Hansen, Ingrid Lindström, and Edward R. Griffor |
264 | 1 | |a Cambridge |b Cambridge University Press |c 1994 | |
300 | |a 1 online resource (xii, 349 pages) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Cambridge tracts in theoretical computer science |v 22 | |
500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
520 | |a Domain theory is an established part of theoretical computer science, used in giving semantics to programming languages and logics. In mathematics and logic it has also proved to be useful in the study of algorithms. This book is devoted to providing a unified and self-contained treatment of the subject. The theory is presented in a mathematically precise manner which nevertheless is accessible to mathematicians and computer scientists alike. The authors begin with the basic theory including domain equations, various domain representations and universal domains. They then proceed to more specialized topics such as effective and power domains, models of lambda-calculus and so on. In particular, the connections with ultrametric spaces and the Kleene–Kreisel continuous functionals are made precise. Consequently the text will be useful as an introductory textbook (earlier versions have been class-tested in Uppsala, Gothenburg, Passau, Munich and Swansea), or as a general reference for professionals in computer science and logic | ||
650 | 4 | |a Informatik | |
650 | 4 | |a Mathematik | |
650 | 4 | |a Computer science / Mathematics | |
650 | 4 | |a Approximation theory | |
650 | 4 | |a Numerical analysis | |
650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Topologie |0 (DE-588)4060425-1 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Bereichstheorie |0 (DE-588)4382803-6 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Bereichstheorie |0 (DE-588)4382803-6 |D s |
689 | 0 | 1 | |a Mathematik |0 (DE-588)4037944-9 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
689 | 1 | 0 | |a Topologie |0 (DE-588)4060425-1 |D s |
689 | 1 | |8 2\p |5 DE-604 | |
700 | 1 | |a Lindström, Ingrid |e Sonstige |4 oth | |
700 | 1 | |a Griffor, Edward R. |e Sonstige |4 oth | |
776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-06479-8 |
776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-38344-8 |
856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781139166386 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
912 | |a ZDB-20-CBO | ||
999 | |a oai:aleph.bib-bvb.de:BVB01-029349887 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
966 | e | |u https://doi.org/10.1017/CBO9781139166386 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1017/CBO9781139166386 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1804176881997578240 |
---|---|
any_adam_object | |
author | Stoltenberg-Hansen, Viggo |
author_facet | Stoltenberg-Hansen, Viggo |
author_role | aut |
author_sort | Stoltenberg-Hansen, Viggo |
author_variant | v s h vsh |
building | Verbundindex |
bvnumber | BV043940917 |
classification_rvk | SK 130 ST 120 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9781139166386 (OCoLC)967696504 (DE-599)BVBBV043940917 |
dewey-full | 511.3 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511.3 |
dewey-search | 511.3 |
dewey-sort | 3511.3 |
dewey-tens | 510 - Mathematics |
discipline | Informatik Mathematik |
doi_str_mv | 10.1017/CBO9781139166386 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03556nmm a2200625zcb4500</leader><controlfield tag="001">BV043940917</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s1994 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139166386</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-139-16638-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781139166386</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781139166386</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)967696504</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043940917</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.3</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 130</subfield><subfield code="0">(DE-625)143216:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ST 120</subfield><subfield code="0">(DE-625)143585:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Stoltenberg-Hansen, Viggo</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical theory of domains</subfield><subfield code="c">Viggo Stoltenberg-Hansen, Ingrid Lindström, and Edward R. Griffor</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xii, 349 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Cambridge tracts in theoretical computer science</subfield><subfield code="v">22</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Domain theory is an established part of theoretical computer science, used in giving semantics to programming languages and logics. In mathematics and logic it has also proved to be useful in the study of algorithms. This book is devoted to providing a unified and self-contained treatment of the subject. The theory is presented in a mathematically precise manner which nevertheless is accessible to mathematicians and computer scientists alike. The authors begin with the basic theory including domain equations, various domain representations and universal domains. They then proceed to more specialized topics such as effective and power domains, models of lambda-calculus and so on. In particular, the connections with ultrametric spaces and the Kleene–Kreisel continuous functionals are made precise. Consequently the text will be useful as an introductory textbook (earlier versions have been class-tested in Uppsala, Gothenburg, Passau, Munich and Swansea), or as a general reference for professionals in computer science and logic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Informatik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computer science / Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Approximation theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Topologie</subfield><subfield code="0">(DE-588)4060425-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Bereichstheorie</subfield><subfield code="0">(DE-588)4382803-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Bereichstheorie</subfield><subfield code="0">(DE-588)4382803-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Topologie</subfield><subfield code="0">(DE-588)4060425-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lindström, Ingrid</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Griffor, Edward R.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-06479-8</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-38344-8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781139166386</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029349887</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139166386</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139166386</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV043940917 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:14Z |
institution | BVB |
isbn | 9781139166386 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349887 |
oclc_num | 967696504 |
open_access_boolean | |
owner | DE-12 DE-92 |
owner_facet | DE-12 DE-92 |
physical | 1 online resource (xii, 349 pages) |
psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
publishDate | 1994 |
publishDateSearch | 1994 |
publishDateSort | 1994 |
publisher | Cambridge University Press |
record_format | marc |
series2 | Cambridge tracts in theoretical computer science |
spelling | Stoltenberg-Hansen, Viggo Verfasser aut Mathematical theory of domains Viggo Stoltenberg-Hansen, Ingrid Lindström, and Edward R. Griffor Cambridge Cambridge University Press 1994 1 online resource (xii, 349 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in theoretical computer science 22 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Domain theory is an established part of theoretical computer science, used in giving semantics to programming languages and logics. In mathematics and logic it has also proved to be useful in the study of algorithms. This book is devoted to providing a unified and self-contained treatment of the subject. The theory is presented in a mathematically precise manner which nevertheless is accessible to mathematicians and computer scientists alike. The authors begin with the basic theory including domain equations, various domain representations and universal domains. They then proceed to more specialized topics such as effective and power domains, models of lambda-calculus and so on. In particular, the connections with ultrametric spaces and the Kleene–Kreisel continuous functionals are made precise. Consequently the text will be useful as an introductory textbook (earlier versions have been class-tested in Uppsala, Gothenburg, Passau, Munich and Swansea), or as a general reference for professionals in computer science and logic Informatik Mathematik Computer science / Mathematics Approximation theory Numerical analysis Mathematik (DE-588)4037944-9 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Bereichstheorie (DE-588)4382803-6 gnd rswk-swf Bereichstheorie (DE-588)4382803-6 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Topologie (DE-588)4060425-1 s 2\p DE-604 Lindström, Ingrid Sonstige oth Griffor, Edward R. Sonstige oth Erscheint auch als Druckausgabe 978-0-521-06479-8 Erscheint auch als Druckausgabe 978-0-521-38344-8 https://doi.org/10.1017/CBO9781139166386 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Stoltenberg-Hansen, Viggo Mathematical theory of domains Informatik Mathematik Computer science / Mathematics Approximation theory Numerical analysis Mathematik (DE-588)4037944-9 gnd Topologie (DE-588)4060425-1 gnd Bereichstheorie (DE-588)4382803-6 gnd |
subject_GND | (DE-588)4037944-9 (DE-588)4060425-1 (DE-588)4382803-6 |
title | Mathematical theory of domains |
title_auth | Mathematical theory of domains |
title_exact_search | Mathematical theory of domains |
title_full | Mathematical theory of domains Viggo Stoltenberg-Hansen, Ingrid Lindström, and Edward R. Griffor |
title_fullStr | Mathematical theory of domains Viggo Stoltenberg-Hansen, Ingrid Lindström, and Edward R. Griffor |
title_full_unstemmed | Mathematical theory of domains Viggo Stoltenberg-Hansen, Ingrid Lindström, and Edward R. Griffor |
title_short | Mathematical theory of domains |
title_sort | mathematical theory of domains |
topic | Informatik Mathematik Computer science / Mathematics Approximation theory Numerical analysis Mathematik (DE-588)4037944-9 gnd Topologie (DE-588)4060425-1 gnd Bereichstheorie (DE-588)4382803-6 gnd |
topic_facet | Informatik Mathematik Computer science / Mathematics Approximation theory Numerical analysis Topologie Bereichstheorie |
url | https://doi.org/10.1017/CBO9781139166386 |
work_keys_str_mv | AT stoltenberghansenviggo mathematicaltheoryofdomains AT lindstromingrid mathematicaltheoryofdomains AT grifforedwardr mathematicaltheoryofdomains |