Nonstandard Analysis in Practice:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1995
|
Schriftenreihe: | Universitext
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | The purpose of this book is to provide an effective introduction to nonstandard methods. A short tutorial giving the necessary background, is followed by applications to various domains, independent from each other. These include complex dynamical systems, stochastic differential equations, smooth and algebraic curves, measure theory, the external calculus, with some applications to probability. The authors have been using Nonstandard Analysis for many years in their research. They all belong to the growing nonstandard school founded by G. Reeb, which is attracting international and interdisciplinary interest |
Beschreibung: | 1 Online-Ressource (XIV, 250p) |
ISBN: | 9783642577581 9783540602972 |
ISSN: | 0172-5939 |
DOI: | 10.1007/978-3-642-57758-1 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV042422682 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s1995 |||| o||u| ||||||eng d | ||
020 | |a 9783642577581 |c Online |9 978-3-642-57758-1 | ||
020 | |a 9783540602972 |c Print |9 978-3-540-60297-2 | ||
024 | 7 | |a 10.1007/978-3-642-57758-1 |2 doi | |
035 | |a (OCoLC)1184323190 | ||
035 | |a (DE-599)BVBBV042422682 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
082 | 0 | |a 515.8 |2 23 | |
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Diener, Francine |e Verfasser |4 aut | |
245 | 1 | 0 | |a Nonstandard Analysis in Practice |c edited by Francine Diener, Marc Diener |
264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1995 | |
300 | |a 1 Online-Ressource (XIV, 250p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Universitext |x 0172-5939 | |
500 | |a The purpose of this book is to provide an effective introduction to nonstandard methods. A short tutorial giving the necessary background, is followed by applications to various domains, independent from each other. These include complex dynamical systems, stochastic differential equations, smooth and algebraic curves, measure theory, the external calculus, with some applications to probability. The authors have been using Nonstandard Analysis for many years in their research. They all belong to the growing nonstandard school founded by G. Reeb, which is attracting international and interdisciplinary interest | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Global differential geometry | |
650 | 4 | |a Logic, Symbolic and mathematical | |
650 | 4 | |a Distribution (Probability theory) | |
650 | 4 | |a Real Functions | |
650 | 4 | |a Mathematical Logic and Foundations | |
650 | 4 | |a Differential Geometry | |
650 | 4 | |a Probability Theory and Stochastic Processes | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Analysis |0 (DE-588)4001865-9 |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 Analysis |0 (DE-588)4001865-9 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
689 | 1 | 0 | |a Nonstandard-Analysis |0 (DE-588)4137021-1 |D s |
689 | 1 | |8 2\p |5 DE-604 | |
700 | 1 | |a Diener, Marc |e Sonstige |4 oth | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-57758-1 |x Verlag |3 Volltext |
912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SMA_Archive | |
999 | |a oai:aleph.bib-bvb.de:BVB01-027858099 | ||
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 |
Datensatz im Suchindex
_version_ | 1804153097459597312 |
---|---|
any_adam_object | |
author | Diener, Francine |
author_facet | Diener, Francine |
author_role | aut |
author_sort | Diener, Francine |
author_variant | f d fd |
building | Verbundindex |
bvnumber | BV042422682 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)1184323190 (DE-599)BVBBV042422682 |
dewey-full | 515.8 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.8 |
dewey-search | 515.8 |
dewey-sort | 3515.8 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-642-57758-1 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02672nmm a2200577zc 4500</leader><controlfield tag="001">BV042422682</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1995 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642577581</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-642-57758-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540602972</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-540-60297-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-57758-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184323190</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422682</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-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.8</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Diener, Francine</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Nonstandard Analysis in Practice</subfield><subfield code="c">edited by Francine Diener, Marc Diener</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIV, 250p)</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">Universitext</subfield><subfield code="x">0172-5939</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">The purpose of this book is to provide an effective introduction to nonstandard methods. A short tutorial giving the necessary background, is followed by applications to various domains, independent from each other. These include complex dynamical systems, stochastic differential equations, smooth and algebraic curves, measure theory, the external calculus, with some applications to probability. The authors have been using Nonstandard Analysis for many years in their research. They all belong to the growing nonstandard school founded by G. Reeb, which is attracting international and interdisciplinary interest</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global differential geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Logic, Symbolic and mathematical</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Distribution (Probability theory)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Real Functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Logic and Foundations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential Geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probability Theory and Stochastic Processes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analysis</subfield><subfield code="0">(DE-588)4001865-9</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">Analysis</subfield><subfield code="0">(DE-588)4001865-9</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">Nonstandard-Analysis</subfield><subfield code="0">(DE-588)4137021-1</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">Diener, Marc</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-57758-1</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027858099</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></record></collection> |
id | DE-604.BV042422682 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:11Z |
institution | BVB |
isbn | 9783642577581 9783540602972 |
issn | 0172-5939 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858099 |
oclc_num | 1184323190 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XIV, 250p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 1995 |
publishDateSearch | 1995 |
publishDateSort | 1995 |
publisher | Springer Berlin Heidelberg |
record_format | marc |
series2 | Universitext |
spelling | Diener, Francine Verfasser aut Nonstandard Analysis in Practice edited by Francine Diener, Marc Diener Berlin, Heidelberg Springer Berlin Heidelberg 1995 1 Online-Ressource (XIV, 250p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 The purpose of this book is to provide an effective introduction to nonstandard methods. A short tutorial giving the necessary background, is followed by applications to various domains, independent from each other. These include complex dynamical systems, stochastic differential equations, smooth and algebraic curves, measure theory, the external calculus, with some applications to probability. The authors have been using Nonstandard Analysis for many years in their research. They all belong to the growing nonstandard school founded by G. Reeb, which is attracting international and interdisciplinary interest Mathematics Global differential geometry Logic, Symbolic and mathematical Distribution (Probability theory) Real Functions Mathematical Logic and Foundations Differential Geometry Probability Theory and Stochastic Processes Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf Analysis (DE-588)4001865-9 s 1\p DE-604 Nonstandard-Analysis (DE-588)4137021-1 s 2\p DE-604 Diener, Marc Sonstige oth https://doi.org/10.1007/978-3-642-57758-1 Verlag 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 | Diener, Francine Nonstandard Analysis in Practice Mathematics Global differential geometry Logic, Symbolic and mathematical Distribution (Probability theory) Real Functions Mathematical Logic and Foundations Differential Geometry Probability Theory and Stochastic Processes Mathematik Analysis (DE-588)4001865-9 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd |
subject_GND | (DE-588)4001865-9 (DE-588)4137021-1 |
title | Nonstandard Analysis in Practice |
title_auth | Nonstandard Analysis in Practice |
title_exact_search | Nonstandard Analysis in Practice |
title_full | Nonstandard Analysis in Practice edited by Francine Diener, Marc Diener |
title_fullStr | Nonstandard Analysis in Practice edited by Francine Diener, Marc Diener |
title_full_unstemmed | Nonstandard Analysis in Practice edited by Francine Diener, Marc Diener |
title_short | Nonstandard Analysis in Practice |
title_sort | nonstandard analysis in practice |
topic | Mathematics Global differential geometry Logic, Symbolic and mathematical Distribution (Probability theory) Real Functions Mathematical Logic and Foundations Differential Geometry Probability Theory and Stochastic Processes Mathematik Analysis (DE-588)4001865-9 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd |
topic_facet | Mathematics Global differential geometry Logic, Symbolic and mathematical Distribution (Probability theory) Real Functions Mathematical Logic and Foundations Differential Geometry Probability Theory and Stochastic Processes Mathematik Analysis Nonstandard-Analysis |
url | https://doi.org/10.1007/978-3-642-57758-1 |
work_keys_str_mv | AT dienerfrancine nonstandardanalysisinpractice AT dienermarc nonstandardanalysisinpractice |