Nonstandard methods in functional analysis: lectures and notes
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey
World Scientific
©2010
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the probability theory and functional analysis. In the latter, fruitful results were produced with Luxemburg's invention of the nonstandard hull construction. However, there is still no publication of a coherent and self-contained treatment of functional analysis using methods from nonstandard analysis. Th |
| Beschreibung: | 1 Online-Ressource (xxii, 316 pages) |
| ISBN: | 9789814287548 9789814287555 9814287547 9814287555 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043152189 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 151126s2010 |||| o||u| ||||||eng d | ||
| 020 | |a 9789814287548 |9 978-981-4287-54-8 | ||
| 020 | |a 9789814287555 |c electronic bk. |9 978-981-4287-55-5 | ||
| 020 | |a 9814287547 |9 981-4287-54-7 | ||
| 020 | |a 9814287555 |c electronic bk. |9 981-4287-55-5 | ||
| 035 | |a (OCoLC)671648587 | ||
| 035 | |a (DE-599)BVBBV043152189 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 |a DE-1047 | ||
| 082 | 0 | |a 515/.7 |2 22 | |
| 100 | 1 | |a Ng, Siu-Ah |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nonstandard methods in functional analysis |b lectures and notes |c Siu-Ah Ng |
| 264 | 1 | |a New Jersey |b World Scientific |c ©2010 | |
| 300 | |a 1 Online-Ressource (xxii, 316 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the probability theory and functional analysis. In the latter, fruitful results were produced with Luxemburg's invention of the nonstandard hull construction. However, there is still no publication of a coherent and self-contained treatment of functional analysis using methods from nonstandard analysis. Th | ||
| 650 | 4 | |a Mathematics | |
| 650 | 7 | |a MATHEMATICS / Functional Analysis |2 bisacsh | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Nonstandard mathematical analysis | |
| 650 | 0 | 7 | |a Funktionalanalysis |0 (DE-588)4018916-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nonstandard-Analysis |0 (DE-588)4137021-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nonstandard-Analysis |0 (DE-588)4137021-1 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Funktionalanalysis |0 (DE-588)4018916-8 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 856 | 4 | 0 | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340784 |x Aggregator |3 Volltext |
| 912 | |a ZDB-4-EBA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028576380 | ||
| 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 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340784 |l FAW01 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340784 |l FAW02 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804175613251026944 |
|---|---|
| any_adam_object | |
| author | Ng, Siu-Ah |
| author_facet | Ng, Siu-Ah |
| author_role | aut |
| author_sort | Ng, Siu-Ah |
| author_variant | s a n san |
| building | Verbundindex |
| bvnumber | BV043152189 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)671648587 (DE-599)BVBBV043152189 |
| dewey-full | 515/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7 |
| dewey-search | 515/.7 |
| dewey-sort | 3515 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02796nmm a2200529zc 4500</leader><controlfield tag="001">BV043152189</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">151126s2010 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814287548</subfield><subfield code="9">978-981-4287-54-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814287555</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-981-4287-55-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9814287547</subfield><subfield code="9">981-4287-54-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9814287555</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">981-4287-55-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)671648587</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043152189</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield><subfield code="a">DE-1047</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.7</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ng, Siu-Ah</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Nonstandard methods in functional analysis</subfield><subfield code="b">lectures and notes</subfield><subfield code="c">Siu-Ah Ng</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey</subfield><subfield code="b">World Scientific</subfield><subfield code="c">©2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xxii, 316 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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the probability theory and functional analysis. In the latter, fruitful results were produced with Luxemburg's invention of the nonstandard hull construction. However, there is still no publication of a coherent and self-contained treatment of functional analysis using methods from nonstandard analysis. Th</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Functional Analysis</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nonstandard mathematical analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nonstandard-Analysis</subfield><subfield code="0">(DE-588)4137021-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nonstandard-Analysis</subfield><subfield code="0">(DE-588)4137021-1</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">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</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="856" ind1="4" ind2="0"><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340784</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028576380</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">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340784</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340784</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043152189 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:04Z |
| institution | BVB |
| isbn | 9789814287548 9789814287555 9814287547 9814287555 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028576380 |
| oclc_num | 671648587 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xxii, 316 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Ng, Siu-Ah Verfasser aut Nonstandard methods in functional analysis lectures and notes Siu-Ah Ng New Jersey World Scientific ©2010 1 Online-Ressource (xxii, 316 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the probability theory and functional analysis. In the latter, fruitful results were produced with Luxemburg's invention of the nonstandard hull construction. However, there is still no publication of a coherent and self-contained treatment of functional analysis using methods from nonstandard analysis. Th Mathematics MATHEMATICS / Functional Analysis bisacsh Mathematik Functional analysis Nonstandard mathematical analysis Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 s 1\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 2\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340784 Aggregator 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 | Ng, Siu-Ah Nonstandard methods in functional analysis lectures and notes Mathematics MATHEMATICS / Functional Analysis bisacsh Mathematik Functional analysis Nonstandard mathematical analysis Funktionalanalysis (DE-588)4018916-8 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4137021-1 |
| title | Nonstandard methods in functional analysis lectures and notes |
| title_auth | Nonstandard methods in functional analysis lectures and notes |
| title_exact_search | Nonstandard methods in functional analysis lectures and notes |
| title_full | Nonstandard methods in functional analysis lectures and notes Siu-Ah Ng |
| title_fullStr | Nonstandard methods in functional analysis lectures and notes Siu-Ah Ng |
| title_full_unstemmed | Nonstandard methods in functional analysis lectures and notes Siu-Ah Ng |
| title_short | Nonstandard methods in functional analysis |
| title_sort | nonstandard methods in functional analysis lectures and notes |
| title_sub | lectures and notes |
| topic | Mathematics MATHEMATICS / Functional Analysis bisacsh Mathematik Functional analysis Nonstandard mathematical analysis Funktionalanalysis (DE-588)4018916-8 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd |
| topic_facet | Mathematics MATHEMATICS / Functional Analysis Mathematik Functional analysis Nonstandard mathematical analysis Funktionalanalysis Nonstandard-Analysis |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340784 |
| work_keys_str_mv | AT ngsiuah nonstandardmethodsinfunctionalanalysislecturesandnotes |