Computational Excursions in Analysis and Number Theory:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
2002
|
Schriftenreihe: | CMS Books in Mathematics / Ouvrages de mathématiques de la SMC
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This book is designed for a computationally intensive graduate course based around a collection of classical unsolved extremal problems for polynomials. These problems, all of which lend themselves to extensive computational exploration, live at the interface of analysis, combinatorics and number theory so the techniques involved are diverse. A main computational tool used is the LLL algorithm for finding small vectors in a lattice. Many exercises and open research problems are included. Indeed one aim of the book is to tempt the able reader into the rich possibilities for research in this area. Peter Borwein is Professor of Mathematics at Simon Fraser University and the Associate Director of the Centre for Experimental and Constructive Mathematics. He is also the recipient of the Mathematical Association of Americas Chauvenet Prize and the Merten M. Hasse Prize for expository writing in mathematics |
Beschreibung: | 1 Online-Ressource (X, 220 p) |
ISBN: | 9780387216522 9781441930002 |
ISSN: | 1613-5237 |
DOI: | 10.1007/978-0-387-21652-2 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV042418946 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s2002 |||| o||u| ||||||eng d | ||
020 | |a 9780387216522 |c Online |9 978-0-387-21652-2 | ||
020 | |a 9781441930002 |c Print |9 978-1-4419-3000-2 | ||
024 | 7 | |a 10.1007/978-0-387-21652-2 |2 doi | |
035 | |a (OCoLC)863994811 | ||
035 | |a (DE-599)BVBBV042418946 | ||
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 512.7 |2 23 | |
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Borwein, Peter |e Verfasser |4 aut | |
245 | 1 | 0 | |a Computational Excursions in Analysis and Number Theory |c by Peter Borwein |
264 | 1 | |a New York, NY |b Springer New York |c 2002 | |
300 | |a 1 Online-Ressource (X, 220 p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a CMS Books in Mathematics / Ouvrages de mathématiques de la SMC |x 1613-5237 | |
500 | |a This book is designed for a computationally intensive graduate course based around a collection of classical unsolved extremal problems for polynomials. These problems, all of which lend themselves to extensive computational exploration, live at the interface of analysis, combinatorics and number theory so the techniques involved are diverse. A main computational tool used is the LLL algorithm for finding small vectors in a lattice. Many exercises and open research problems are included. Indeed one aim of the book is to tempt the able reader into the rich possibilities for research in this area. Peter Borwein is Professor of Mathematics at Simon Fraser University and the Associate Director of the Centre for Experimental and Constructive Mathematics. He is also the recipient of the Mathematical Association of Americas Chauvenet Prize and the Merten M. Hasse Prize for expository writing in mathematics | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Algebra / Data processing | |
650 | 4 | |a Global analysis (Mathematics) | |
650 | 4 | |a Number theory | |
650 | 4 | |a Number Theory | |
650 | 4 | |a Analysis | |
650 | 4 | |a Symbolic and Algebraic Manipulation | |
650 | 4 | |a Datenverarbeitung | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Diophantische Analysis |0 (DE-588)4150020-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Zahlentheorie |0 (DE-588)4067277-3 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Zahlentheorie |0 (DE-588)4067277-3 |D s |
689 | 0 | 1 | |a Diophantische Analysis |0 (DE-588)4150020-9 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-0-387-21652-2 |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:BVB01-027854363 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804153089016463360 |
---|---|
any_adam_object | |
author | Borwein, Peter |
author_facet | Borwein, Peter |
author_role | aut |
author_sort | Borwein, Peter |
author_variant | p b pb |
building | Verbundindex |
bvnumber | BV042418946 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)863994811 (DE-599)BVBBV042418946 |
dewey-full | 512.7 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.7 |
dewey-search | 512.7 |
dewey-sort | 3512.7 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-0-387-21652-2 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02791nmm a2200541zc 4500</leader><controlfield tag="001">BV042418946</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2002 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387216522</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-387-21652-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781441930002</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4419-3000-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-0-387-21652-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863994811</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042418946</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">512.7</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">Borwein, Peter</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Computational Excursions in Analysis and Number Theory</subfield><subfield code="c">by Peter Borwein</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 220 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="490" ind1="0" ind2=" "><subfield code="a">CMS Books in Mathematics / Ouvrages de mathématiques de la SMC</subfield><subfield code="x">1613-5237</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book is designed for a computationally intensive graduate course based around a collection of classical unsolved extremal problems for polynomials. These problems, all of which lend themselves to extensive computational exploration, live at the interface of analysis, combinatorics and number theory so the techniques involved are diverse. A main computational tool used is the LLL algorithm for finding small vectors in a lattice. Many exercises and open research problems are included. Indeed one aim of the book is to tempt the able reader into the rich possibilities for research in this area. Peter Borwein is Professor of Mathematics at Simon Fraser University and the Associate Director of the Centre for Experimental and Constructive Mathematics. He is also the recipient of the Mathematical Association of Americas Chauvenet Prize and the Merten M. Hasse Prize for expository writing in mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra / Data processing</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global analysis (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Symbolic and Algebraic Manipulation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Datenverarbeitung</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Diophantische Analysis</subfield><subfield code="0">(DE-588)4150020-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Diophantische Analysis</subfield><subfield code="0">(DE-588)4150020-9</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="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-0-387-21652-2</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:BVB01-027854363</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.BV042418946 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:03Z |
institution | BVB |
isbn | 9780387216522 9781441930002 |
issn | 1613-5237 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854363 |
oclc_num | 863994811 |
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 (X, 220 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 2002 |
publishDateSearch | 2002 |
publishDateSort | 2002 |
publisher | Springer New York |
record_format | marc |
series2 | CMS Books in Mathematics / Ouvrages de mathématiques de la SMC |
spelling | Borwein, Peter Verfasser aut Computational Excursions in Analysis and Number Theory by Peter Borwein New York, NY Springer New York 2002 1 Online-Ressource (X, 220 p) txt rdacontent c rdamedia cr rdacarrier CMS Books in Mathematics / Ouvrages de mathématiques de la SMC 1613-5237 This book is designed for a computationally intensive graduate course based around a collection of classical unsolved extremal problems for polynomials. These problems, all of which lend themselves to extensive computational exploration, live at the interface of analysis, combinatorics and number theory so the techniques involved are diverse. A main computational tool used is the LLL algorithm for finding small vectors in a lattice. Many exercises and open research problems are included. Indeed one aim of the book is to tempt the able reader into the rich possibilities for research in this area. Peter Borwein is Professor of Mathematics at Simon Fraser University and the Associate Director of the Centre for Experimental and Constructive Mathematics. He is also the recipient of the Mathematical Association of Americas Chauvenet Prize and the Merten M. Hasse Prize for expository writing in mathematics Mathematics Algebra / Data processing Global analysis (Mathematics) Number theory Number Theory Analysis Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Diophantische Analysis (DE-588)4150020-9 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s Diophantische Analysis (DE-588)4150020-9 s 1\p DE-604 https://doi.org/10.1007/978-0-387-21652-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Borwein, Peter Computational Excursions in Analysis and Number Theory Mathematics Algebra / Data processing Global analysis (Mathematics) Number theory Number Theory Analysis Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Diophantische Analysis (DE-588)4150020-9 gnd Zahlentheorie (DE-588)4067277-3 gnd |
subject_GND | (DE-588)4150020-9 (DE-588)4067277-3 |
title | Computational Excursions in Analysis and Number Theory |
title_auth | Computational Excursions in Analysis and Number Theory |
title_exact_search | Computational Excursions in Analysis and Number Theory |
title_full | Computational Excursions in Analysis and Number Theory by Peter Borwein |
title_fullStr | Computational Excursions in Analysis and Number Theory by Peter Borwein |
title_full_unstemmed | Computational Excursions in Analysis and Number Theory by Peter Borwein |
title_short | Computational Excursions in Analysis and Number Theory |
title_sort | computational excursions in analysis and number theory |
topic | Mathematics Algebra / Data processing Global analysis (Mathematics) Number theory Number Theory Analysis Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Diophantische Analysis (DE-588)4150020-9 gnd Zahlentheorie (DE-588)4067277-3 gnd |
topic_facet | Mathematics Algebra / Data processing Global analysis (Mathematics) Number theory Number Theory Analysis Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Diophantische Analysis Zahlentheorie |
url | https://doi.org/10.1007/978-0-387-21652-2 |
work_keys_str_mv | AT borweinpeter computationalexcursionsinanalysisandnumbertheory |