Using algebraic geometry:
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Buch |
Sprache: | German |
Veröffentlicht: |
New York, NY
Springer
2005
|
Ausgabe: | 2. ed. |
Schriftenreihe: | Graduate texts in mathematics
185 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis Klappentext |
Beschreibung: | Literaturverz. S 468 - 475 |
Beschreibung: | XII, 572 S. Ill., graph. Darst. |
ISBN: | 0387207333 0387207066 9780387207339 |
Internformat
MARC
LEADER | 00000nam a2200000 cb4500 | ||
---|---|---|---|
001 | BV019607586 | ||
003 | DE-604 | ||
005 | 20130715 | ||
007 | t | ||
008 | 041124s2005 gw ad|| |||| 00||| ger d | ||
020 | |a 0387207333 |9 0-387-20733-3 | ||
020 | |a 0387207066 |9 0-387-20706-6 | ||
020 | |a 9780387207339 |9 978-0-387-20733-9 | ||
035 | |a (OCoLC)249133812 | ||
035 | |a (DE-599)BVBBV019607586 | ||
040 | |a DE-604 |b ger |e rakwb | ||
041 | 0 | |a ger | |
044 | |a gw |c DE | ||
049 | |a DE-20 |a DE-91G |a DE-824 |a DE-739 |a DE-19 |a DE-706 |a DE-355 |a DE-92 |a DE-M347 |a DE-11 |a DE-188 |a DE-83 |a DE-384 |a DE-29T | ||
050 | 0 | |a QA564 | |
082 | 0 | |a 516.35 | |
084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
084 | |a 13-01 |2 msc | ||
084 | |a 13Pxx |2 msc | ||
084 | |a MAT 140f |2 stub | ||
084 | |a 17,1 |2 ssgn | ||
084 | |a 14-01 |2 msc | ||
100 | 1 | |a Cox, David A. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Using algebraic geometry |c David A. Cox ; John Little ; Donal O'Shea |
250 | |a 2. ed. | ||
264 | 1 | |a New York, NY |b Springer |c 2005 | |
300 | |a XII, 572 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Graduate texts in mathematics |v 185 | |
500 | |a Literaturverz. S 468 - 475 | ||
650 | 4 | |a Algebraische Geometrie - Algorithmische Geometrie | |
650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
689 | 0 | |5 DE-604 | |
700 | 1 | |a Little, John |e Verfasser |4 aut | |
700 | 1 | |a O'Shea, Donal |d 1952- |e Verfasser |0 (DE-588)113289731 |4 aut | |
830 | 0 | |a Graduate texts in mathematics |v 185 |w (DE-604)BV000000067 |9 185 | |
856 | 4 | 2 | |m Digitalisierung UBPassau |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937365&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
856 | 4 | 2 | |m Digitalisierung UB Passau |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937365&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
999 | |a oai:aleph.bib-bvb.de:BVB01-012937365 |
Datensatz im Suchindex
_version_ | 1804132965681201152 |
---|---|
adam_text | Contents
Preface to the Second Edition v
Preface to the First Edition
1
§1
§2
§3 Gröbner
§4 Affine
2
§1
§2
§3 Gröbner
§4
§5
3
§1
§2
§3
§4
§5
§6
4
§1
§2
§3
§4
§5
xi
xii Contents
5
§1
§2
§3
§4
6
§1
§2
§3
§4
7
§1
§2
§3
§4
§5
§6
8
§1
§2
§3
§4
§5
9
§1
§2
§3
§4
10
§1
§2
§3
References
Index
In recent years, the discovery of new algorithms for dealing
with polynomial equations, coupled with their implementa¬
tion on fast inexpensive computers, has sparked a minor rev¬
olution in the study and practice of algebraic geometry.These
algorithmic methods have also given rise to some exciting
new applications of algebraic geometry.This book illustrates
the many uses of algebraic geometry, highlighting some ofJ
the more recent applications of
The book is written for nonspecialists and for readers with a
diverse range of backgrounds. It assumes knowledge of the
material covered in a standard undergraduate course in
abstract algebra, and it would help to have some previous
exposure to
the reader is familiar with more advanced concepts such as
modules.
For the new edition, the authors have added a unified discussion of how matrices
can be used to specify monomial orders; a revised presentation of the Mora nor¬
mal form algorithm; two sections discussing the
Gröbner
order domains, associated codes, and the Berlekamp-Massey-Sakata decoding
algorithm. They have also updated the references, improved some of the proofs,
and corrected typographical errors.
|
any_adam_object | 1 |
author | Cox, David A. Little, John O'Shea, Donal 1952- |
author_GND | (DE-588)113289731 |
author_facet | Cox, David A. Little, John O'Shea, Donal 1952- |
author_role | aut aut aut |
author_sort | Cox, David A. |
author_variant | d a c da dac j l jl d o do |
building | Verbundindex |
bvnumber | BV019607586 |
callnumber-first | Q - Science |
callnumber-label | QA564 |
callnumber-raw | QA564 |
callnumber-search | QA564 |
callnumber-sort | QA 3564 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 240 |
classification_tum | MAT 140f |
ctrlnum | (OCoLC)249133812 (DE-599)BVBBV019607586 |
dewey-full | 516.35 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.35 |
dewey-search | 516.35 |
dewey-sort | 3516.35 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | 2. ed. |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02198nam a2200529 cb4500</leader><controlfield tag="001">BV019607586</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130715 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">041124s2005 gw ad|| |||| 00||| ger d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387207333</subfield><subfield code="9">0-387-20733-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387207066</subfield><subfield code="9">0-387-20706-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387207339</subfield><subfield code="9">978-0-387-20733-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)249133812</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019607586</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-M347</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA564</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.35</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 240</subfield><subfield code="0">(DE-625)143226:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">13-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">13Pxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 140f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cox, David A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Using algebraic geometry</subfield><subfield code="c">David A. Cox ; John Little ; Donal O'Shea</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 572 S.</subfield><subfield code="b">Ill., graph. Darst.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Graduate texts in mathematics</subfield><subfield code="v">185</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S 468 - 475</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraische Geometrie - Algorithmische Geometrie</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Little, John</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">O'Shea, Donal</subfield><subfield code="d">1952-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113289731</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Graduate texts in mathematics</subfield><subfield code="v">185</subfield><subfield code="w">(DE-604)BV000000067</subfield><subfield code="9">185</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UBPassau</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937365&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937365&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Klappentext</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-012937365</subfield></datafield></record></collection> |
id | DE-604.BV019607586 |
illustrated | Illustrated |
indexdate | 2024-07-09T20:01:12Z |
institution | BVB |
isbn | 0387207333 0387207066 9780387207339 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012937365 |
oclc_num | 249133812 |
open_access_boolean | |
owner | DE-20 DE-91G DE-BY-TUM DE-824 DE-739 DE-19 DE-BY-UBM DE-706 DE-355 DE-BY-UBR DE-92 DE-M347 DE-11 DE-188 DE-83 DE-384 DE-29T |
owner_facet | DE-20 DE-91G DE-BY-TUM DE-824 DE-739 DE-19 DE-BY-UBM DE-706 DE-355 DE-BY-UBR DE-92 DE-M347 DE-11 DE-188 DE-83 DE-384 DE-29T |
physical | XII, 572 S. Ill., graph. Darst. |
publishDate | 2005 |
publishDateSearch | 2005 |
publishDateSort | 2005 |
publisher | Springer |
record_format | marc |
series | Graduate texts in mathematics |
series2 | Graduate texts in mathematics |
spelling | Cox, David A. Verfasser aut Using algebraic geometry David A. Cox ; John Little ; Donal O'Shea 2. ed. New York, NY Springer 2005 XII, 572 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 185 Literaturverz. S 468 - 475 Algebraische Geometrie - Algorithmische Geometrie Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s DE-604 Little, John Verfasser aut O'Shea, Donal 1952- Verfasser (DE-588)113289731 aut Graduate texts in mathematics 185 (DE-604)BV000000067 185 Digitalisierung UBPassau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937365&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937365&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
spellingShingle | Cox, David A. Little, John O'Shea, Donal 1952- Using algebraic geometry Graduate texts in mathematics Algebraische Geometrie - Algorithmische Geometrie Algebraische Geometrie (DE-588)4001161-6 gnd |
subject_GND | (DE-588)4001161-6 |
title | Using algebraic geometry |
title_auth | Using algebraic geometry |
title_exact_search | Using algebraic geometry |
title_full | Using algebraic geometry David A. Cox ; John Little ; Donal O'Shea |
title_fullStr | Using algebraic geometry David A. Cox ; John Little ; Donal O'Shea |
title_full_unstemmed | Using algebraic geometry David A. Cox ; John Little ; Donal O'Shea |
title_short | Using algebraic geometry |
title_sort | using algebraic geometry |
topic | Algebraische Geometrie - Algorithmische Geometrie Algebraische Geometrie (DE-588)4001161-6 gnd |
topic_facet | Algebraische Geometrie - Algorithmische Geometrie Algebraische Geometrie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937365&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937365&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000000067 |
work_keys_str_mv | AT coxdavida usingalgebraicgeometry AT littlejohn usingalgebraicgeometry AT osheadonal usingalgebraicgeometry |