An introduction to nonstandard real analysis:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Orlando
Academic Press
1985
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models Includes bibliographical references (p. 222-224) and index |
Beschreibung: | 1 Online-Ressource (xii, 232 p.) |
ISBN: | 9780123624406 0123624401 9780080874371 0080874371 1281763675 9781281763679 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV042317642 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150129s1985 |||| o||u| ||||||eng d | ||
020 | |a 9780123624406 |9 978-0-12-362440-6 | ||
020 | |a 0123624401 |9 0-12-362440-1 | ||
020 | |a 9780080874371 |c electronic bk. |9 978-0-08-087437-1 | ||
020 | |a 0080874371 |c electronic bk. |9 0-08-087437-1 | ||
020 | |a 1281763675 |9 1-281-76367-5 | ||
020 | |a 9781281763679 |9 978-1-281-76367-9 | ||
035 | |a (ZDB-33-EBS)ocn316566769 | ||
035 | |a (OCoLC)316566769 | ||
035 | |a (DE-599)BVBBV042317642 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-1046 | ||
082 | 0 | |a 515 |2 22 | |
100 | 1 | |a Hurd, A. E., (Albert Emerson) |e Verfasser |4 aut | |
245 | 1 | 0 | |a An introduction to nonstandard real analysis |c Albert E. Hurd, Peter A. Loeb |
264 | 1 | |a Orlando |b Academic Press |c 1985 | |
300 | |a 1 Online-Ressource (xii, 232 p.) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models | ||
500 | |a Includes bibliographical references (p. 222-224) and index | ||
650 | 4 | |a Analyse mathématique non standard | |
650 | 7 | |a Niet-standaardanalyse |2 gtt | |
650 | 7 | |a MATHEMATICS / Calculus |2 bisacsh | |
650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
650 | 7 | |a Nonstandard mathematical analysis |2 fast | |
650 | 4 | |a Nonstandard mathematical analysis | |
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 | |
700 | 1 | |a Loeb, Peter A. |e Sonstige |4 oth | |
856 | 4 | 0 | |u http://www.sciencedirect.com/science/book/9780123624406 |x Verlag |3 Volltext |
912 | |a ZDB-33-ESD |a ZDB-33-EBS | ||
940 | 1 | |q FAW_PDA_ESD | |
940 | 1 | |q FLA_PDA_ESD | |
999 | |a oai:aleph.bib-bvb.de:BVB01-027754633 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804152914278612992 |
---|---|
any_adam_object | |
author | Hurd, A. E., (Albert Emerson) |
author_facet | Hurd, A. E., (Albert Emerson) |
author_role | aut |
author_sort | Hurd, A. E., (Albert Emerson) |
author_variant | a e a e h aeae aeaeh |
building | Verbundindex |
bvnumber | BV042317642 |
collection | ZDB-33-ESD ZDB-33-EBS |
ctrlnum | (ZDB-33-EBS)ocn316566769 (OCoLC)316566769 (DE-599)BVBBV042317642 |
dewey-full | 515 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515 |
dewey-search | 515 |
dewey-sort | 3515 |
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>02771nmm a2200541zc 4500</leader><controlfield tag="001">BV042317642</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150129s1985 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780123624406</subfield><subfield code="9">978-0-12-362440-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0123624401</subfield><subfield code="9">0-12-362440-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080874371</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-0-08-087437-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0080874371</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">0-08-087437-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1281763675</subfield><subfield code="9">1-281-76367-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781281763679</subfield><subfield code="9">978-1-281-76367-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-33-EBS)ocn316566769</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)316566769</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042317642</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></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hurd, A. E., (Albert Emerson)</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An introduction to nonstandard real analysis</subfield><subfield code="c">Albert E. Hurd, Peter A. Loeb</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Orlando</subfield><subfield code="b">Academic Press</subfield><subfield code="c">1985</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xii, 232 p.)</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">The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 222-224) and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analyse mathématique non standard</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Niet-standaardanalyse</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Calculus</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Mathematical Analysis</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nonstandard mathematical analysis</subfield><subfield code="2">fast</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">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="700" ind1="1" ind2=" "><subfield code="a">Loeb, Peter A.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.sciencedirect.com/science/book/9780123624406</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-33-ESD</subfield><subfield code="a">ZDB-33-EBS</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FAW_PDA_ESD</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FLA_PDA_ESD</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027754633</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></record></collection> |
id | DE-604.BV042317642 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:18:17Z |
institution | BVB |
isbn | 9780123624406 0123624401 9780080874371 0080874371 1281763675 9781281763679 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754633 |
oclc_num | 316566769 |
open_access_boolean | |
owner | DE-1046 |
owner_facet | DE-1046 |
physical | 1 Online-Ressource (xii, 232 p.) |
psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
publishDate | 1985 |
publishDateSearch | 1985 |
publishDateSort | 1985 |
publisher | Academic Press |
record_format | marc |
spelling | Hurd, A. E., (Albert Emerson) Verfasser aut An introduction to nonstandard real analysis Albert E. Hurd, Peter A. Loeb Orlando Academic Press 1985 1 Online-Ressource (xii, 232 p.) txt rdacontent c rdamedia cr rdacarrier The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models Includes bibliographical references (p. 222-224) and index Analyse mathématique non standard Niet-standaardanalyse gtt MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Nonstandard mathematical analysis fast Nonstandard mathematical analysis Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 s 1\p DE-604 Loeb, Peter A. Sonstige oth http://www.sciencedirect.com/science/book/9780123624406 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Hurd, A. E., (Albert Emerson) An introduction to nonstandard real analysis Analyse mathématique non standard Niet-standaardanalyse gtt MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Nonstandard mathematical analysis fast Nonstandard mathematical analysis Nonstandard-Analysis (DE-588)4137021-1 gnd |
subject_GND | (DE-588)4137021-1 |
title | An introduction to nonstandard real analysis |
title_auth | An introduction to nonstandard real analysis |
title_exact_search | An introduction to nonstandard real analysis |
title_full | An introduction to nonstandard real analysis Albert E. Hurd, Peter A. Loeb |
title_fullStr | An introduction to nonstandard real analysis Albert E. Hurd, Peter A. Loeb |
title_full_unstemmed | An introduction to nonstandard real analysis Albert E. Hurd, Peter A. Loeb |
title_short | An introduction to nonstandard real analysis |
title_sort | an introduction to nonstandard real analysis |
topic | Analyse mathématique non standard Niet-standaardanalyse gtt MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Nonstandard mathematical analysis fast Nonstandard mathematical analysis Nonstandard-Analysis (DE-588)4137021-1 gnd |
topic_facet | Analyse mathématique non standard Niet-standaardanalyse MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Nonstandard mathematical analysis Nonstandard-Analysis |
url | http://www.sciencedirect.com/science/book/9780123624406 |
work_keys_str_mv | AT hurdaealbertemerson anintroductiontononstandardrealanalysis AT loebpetera anintroductiontononstandardrealanalysis |