Elliptic curves: a computational approach
"The purpose of the present textbook is to give an elementary introduction to elliptic curves. This branch of number theory is particularly accessible to computer assisted calculations, and the authors make use of this feature by approaching the theory from a computational point of view. Specif...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Gruyter
2003
|
| Series: | De Gruyter studies in mathematics
31 |
| Subjects: | |
| Summary: | "The purpose of the present textbook is to give an elementary introduction to elliptic curves. This branch of number theory is particularly accessible to computer assisted calculations, and the authors make use of this feature by approaching the theory from a computational point of view. Specifically, the computer-algebra package SIMATH is applied on several occasions. However, the book can also be read by those not interested in the computational aspect. Of course, the theory of elliptic curves is very comprehensive and becomes correspondingly sophisticated in its application. Hence, the authors have made a careful selection of the topics treated. These topics include the determination of torsion groups, computations regarding the Mordell-Weil group, height calculations, S-integral points." "The content is kept as elementary as possible, and therefore the book differs significantly from the numerous textbooks on elliptic curves nowadays available. The book is addressed to graduate students and researchers in both mathematics and computer science."--BOOK JACKET. |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | IX, 367 S. |
| ISBN: | 3110168081 |
Staff View
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV015771865 | ||
| 003 | DE-604 | ||
| 005 | 20130115 | ||
| 007 | t | ||
| 008 | 021217s2003 gw |||| 00||| eng d | ||
| 016 | 7 | |a 968354351 |2 DE-101 | |
| 020 | |a 3110168081 |9 3-11-016808-1 | ||
| 035 | |a (OCoLC)51241996 | ||
| 035 | |a (OCoLC)265415589 | ||
| 035 | |a (DE-599)BVBBV015771865 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-355 |a DE-91G |a DE-20 |a DE-Aug4 |a DE-634 |a DE-83 |a DE-11 |a DE-824 | ||
| 050 | 0 | |a QA567.2.E44 | |
| 082 | 0 | |a 516.3/52 |2 21 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
| 084 | |a 11G05 |2 msc | ||
| 084 | |a MAT 145f |2 stub | ||
| 084 | |a 14Q05 |2 msc | ||
| 084 | |a 14H25 |2 msc | ||
| 100 | 1 | |a Schmitt, Susanne |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Elliptic curves |b a computational approach |c Susanne Schmitt ; Horst G. Zimmer. With an appendix by Attila Pethö |
| 264 | 1 | |a Berlin [u.a.] |b Gruyter |c 2003 | |
| 300 | |a IX, 367 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter studies in mathematics |v 31 | |
| 500 | |a Includes bibliographical references and index | ||
| 520 | 1 | |a "The purpose of the present textbook is to give an elementary introduction to elliptic curves. This branch of number theory is particularly accessible to computer assisted calculations, and the authors make use of this feature by approaching the theory from a computational point of view. Specifically, the computer-algebra package SIMATH is applied on several occasions. However, the book can also be read by those not interested in the computational aspect. Of course, the theory of elliptic curves is very comprehensive and becomes correspondingly sophisticated in its application. Hence, the authors have made a careful selection of the topics treated. These topics include the determination of torsion groups, computations regarding the Mordell-Weil group, height calculations, S-integral points." "The content is kept as elementary as possible, and therefore the book differs significantly from the numerous textbooks on elliptic curves nowadays available. The book is addressed to graduate students and researchers in both mathematics and computer science."--BOOK JACKET. | |
| 650 | 4 | |a Courbes elliptiques | |
| 650 | 7 | |a Courbes elliptiques |2 ram | |
| 650 | 4 | |a Curves, Elliptic | |
| 650 | 0 | 7 | |a Elliptische Kurve |0 (DE-588)4014487-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Elliptische Kurve |0 (DE-588)4014487-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Zimmer, Horst Günter |d 1937-2016 |e Sonstige |0 (DE-588)117727369 |4 oth | |
| 830 | 0 | |a De Gruyter studies in mathematics |v 31 |w (DE-604)BV000005407 |9 31 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010125064 | ||
Record in the Search Index
| _version_ | 1804129722050805760 |
|---|---|
| any_adam_object | |
| author | Schmitt, Susanne |
| author_GND | (DE-588)117727369 |
| author_facet | Schmitt, Susanne |
| author_role | aut |
| author_sort | Schmitt, Susanne |
| author_variant | s s ss |
| building | Verbundindex |
| bvnumber | BV015771865 |
| callnumber-first | Q - Science |
| callnumber-label | QA567 |
| callnumber-raw | QA567.2.E44 |
| callnumber-search | QA567.2.E44 |
| callnumber-sort | QA 3567.2 E44 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 SK 240 |
| classification_tum | MAT 145f |
| ctrlnum | (OCoLC)51241996 (OCoLC)265415589 (DE-599)BVBBV015771865 |
| dewey-full | 516.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/52 |
| dewey-search | 516.3/52 |
| dewey-sort | 3516.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02781nam a2200517zcb4500</leader><controlfield tag="001">BV015771865</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130115 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">021217s2003 gw |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">968354351</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110168081</subfield><subfield code="9">3-11-016808-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)51241996</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)265415589</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV015771865</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-824</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA567.2.E44</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/52</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</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">11G05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 145f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14Q05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14H25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schmitt, Susanne</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Elliptic curves</subfield><subfield code="b">a computational approach</subfield><subfield code="c">Susanne Schmitt ; Horst G. Zimmer. With an appendix by Attila Pethö</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Gruyter</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 367 S.</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">De Gruyter studies in mathematics</subfield><subfield code="v">31</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="520" ind1="1" ind2=" "><subfield code="a">"The purpose of the present textbook is to give an elementary introduction to elliptic curves. This branch of number theory is particularly accessible to computer assisted calculations, and the authors make use of this feature by approaching the theory from a computational point of view. Specifically, the computer-algebra package SIMATH is applied on several occasions. However, the book can also be read by those not interested in the computational aspect. Of course, the theory of elliptic curves is very comprehensive and becomes correspondingly sophisticated in its application. Hence, the authors have made a careful selection of the topics treated. These topics include the determination of torsion groups, computations regarding the Mordell-Weil group, height calculations, S-integral points." "The content is kept as elementary as possible, and therefore the book differs significantly from the numerous textbooks on elliptic curves nowadays available. The book is addressed to graduate students and researchers in both mathematics and computer science."--BOOK JACKET.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Courbes elliptiques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Courbes elliptiques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Curves, Elliptic</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elliptische Kurve</subfield><subfield code="0">(DE-588)4014487-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Elliptische Kurve</subfield><subfield code="0">(DE-588)4014487-2</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">Zimmer, Horst Günter</subfield><subfield code="d">1937-2016</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)117727369</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">De Gruyter studies in mathematics</subfield><subfield code="v">31</subfield><subfield code="w">(DE-604)BV000005407</subfield><subfield code="9">31</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010125064</subfield></datafield></record></collection> |
| id | DE-604.BV015771865 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:09:39Z |
| institution | BVB |
| isbn | 3110168081 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010125064 |
| oclc_num | 51241996 265415589 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-20 DE-Aug4 DE-634 DE-83 DE-11 DE-824 |
| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-20 DE-Aug4 DE-634 DE-83 DE-11 DE-824 |
| physical | IX, 367 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Schmitt, Susanne Verfasser aut Elliptic curves a computational approach Susanne Schmitt ; Horst G. Zimmer. With an appendix by Attila Pethö Berlin [u.a.] Gruyter 2003 IX, 367 S. txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics 31 Includes bibliographical references and index "The purpose of the present textbook is to give an elementary introduction to elliptic curves. This branch of number theory is particularly accessible to computer assisted calculations, and the authors make use of this feature by approaching the theory from a computational point of view. Specifically, the computer-algebra package SIMATH is applied on several occasions. However, the book can also be read by those not interested in the computational aspect. Of course, the theory of elliptic curves is very comprehensive and becomes correspondingly sophisticated in its application. Hence, the authors have made a careful selection of the topics treated. These topics include the determination of torsion groups, computations regarding the Mordell-Weil group, height calculations, S-integral points." "The content is kept as elementary as possible, and therefore the book differs significantly from the numerous textbooks on elliptic curves nowadays available. The book is addressed to graduate students and researchers in both mathematics and computer science."--BOOK JACKET. Courbes elliptiques Courbes elliptiques ram Curves, Elliptic Elliptische Kurve (DE-588)4014487-2 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 s DE-604 Zimmer, Horst Günter 1937-2016 Sonstige (DE-588)117727369 oth De Gruyter studies in mathematics 31 (DE-604)BV000005407 31 |
| spellingShingle | Schmitt, Susanne Elliptic curves a computational approach De Gruyter studies in mathematics Courbes elliptiques Courbes elliptiques ram Curves, Elliptic Elliptische Kurve (DE-588)4014487-2 gnd |
| subject_GND | (DE-588)4014487-2 |
| title | Elliptic curves a computational approach |
| title_auth | Elliptic curves a computational approach |
| title_exact_search | Elliptic curves a computational approach |
| title_full | Elliptic curves a computational approach Susanne Schmitt ; Horst G. Zimmer. With an appendix by Attila Pethö |
| title_fullStr | Elliptic curves a computational approach Susanne Schmitt ; Horst G. Zimmer. With an appendix by Attila Pethö |
| title_full_unstemmed | Elliptic curves a computational approach Susanne Schmitt ; Horst G. Zimmer. With an appendix by Attila Pethö |
| title_short | Elliptic curves |
| title_sort | elliptic curves a computational approach |
| title_sub | a computational approach |
| topic | Courbes elliptiques Courbes elliptiques ram Curves, Elliptic Elliptische Kurve (DE-588)4014487-2 gnd |
| topic_facet | Courbes elliptiques Curves, Elliptic Elliptische Kurve |
| volume_link | (DE-604)BV000005407 |
| work_keys_str_mv | AT schmittsusanne ellipticcurvesacomputationalapproach AT zimmerhorstgunter ellipticcurvesacomputationalapproach |