A classical introduction to modern number theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1998
|
| Ausgabe: | 2. ed., corr. 5. print. |
| Schriftenreihe: | Graduate texts in mathematics
84 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 389 S. |
| ISBN: | 9780387973296 038797329X 354097329X |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV020833042 | ||
| 003 | DE-604 | ||
| 005 | 20120507 | ||
| 007 | t | ||
| 008 | 051017s1998 |||| 00||| eng d | ||
| 020 | |a 9780387973296 |9 978-0-387-97329-6 | ||
| 020 | |a 038797329X |9 0-387-97329-X | ||
| 020 | |a 354097329X |9 3-540-97329-X | ||
| 035 | |a (OCoLC)633358633 | ||
| 035 | |a (DE-599)BVBBV020833042 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-11 |a DE-703 | ||
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a MAT 100f |2 stub | ||
| 100 | 1 | |a Ireland, Kenneth |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A classical introduction to modern number theory |c Kenneth Ireland ; Michael Rosen |
| 250 | |a 2. ed., corr. 5. print. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1998 | |
| 300 | |a XIV, 389 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate texts in mathematics |v 84 | |
| 650 | 0 | 7 | |a Zahlentheorie |0 (DE-588)4067277-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Zahlentheorie |0 (DE-588)4067277-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Rosen, Michael Ira |d 1938-1954 |e Verfasser |0 (DE-588)123553970 |4 aut | |
| 830 | 0 | |a Graduate texts in mathematics |v 84 |w (DE-604)BV000000067 |9 84 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014155018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014155018 | ||
Datensatz im Suchindex
| _version_ | 1804134536078950400 |
|---|---|
| adam_text | Contents
Preface
Preface
Chapter
Unique Factorization
§1
§2
§3
§4
Chapter
Applications of Unique Factorization
§1
§2
§3
§4
Chapter
Congruence
§1
§2
§3
§4
Chapter
The Structure of
§1
§2
Chapter
Quadratic Reciprocity
§1
§2
§3
xi
xjj
Chapter
Quadratic Gauss Sums
§1
§2
§3
§4
Chapter
Finite Fields 79
§1
§2
§3
Chapter
Gauss and Jacobi Sums
§1
§2
§3
§4
§5
§6
§7
Chapter
Cubic and Biquadratic Reciprocity
§1
§2
§3
§4
§5
§6
§7
§8
§9
§10
§11
§12
Chapter
Equations over Finite Fields
§1 Affine
§2
§3
Contents xiii
Chapter
The Zeta
§1
§2
§3
ű0xő
§4
§5
Chapter
Algebraic Number Theory
§1
§2
§3
Chapter
Quadratic and Cyclotomic Fields
§1
§2
§3
Chapter
The Stickelberger Relation and the
§1
§2
§3
§4
§5
§6
Chapter
Bernoulli Numbers
§1
§2
§3
Chapter
Dirichlet L-functions
§1
§2
§3
§4
§5
§6
„;„
ЛІ
Chapter
Diophantine Equations
§ 1
§2
§3
§4
§5
§6
§7
§8
§9
§10
§11
§12
Chapter
Elliptic Curves
§1
§2
§3
§4
§5 Hecke
§6
§7
§8
Chapter
The Mordell-Weii Ti.eorem
§1
§2
§3
§4
§5
Chapter
New Progress in Arithmetic Geometry
§1
§2
§3
§4
§5
§6
Selected Hints for the Exercises
Bibliography
Index
|
| adam_txt |
Contents
Preface
Preface
Chapter
Unique Factorization
§1
§2
§3
§4
Chapter
Applications of Unique Factorization
§1
§2
§3
§4
Chapter
Congruence
§1
§2
§3
§4
Chapter
The Structure of
§1
§2
Chapter
Quadratic Reciprocity
§1
§2
§3
xi
xjj
Chapter
Quadratic Gauss Sums
§1
§2
§3
§4
Chapter
Finite Fields 79
§1
§2
§3
Chapter
Gauss and Jacobi Sums
§1
§2
§3
§4
§5
§6
§7
Chapter
Cubic and Biquadratic Reciprocity
§1
§2
§3
§4
§5
§6
§7
§8
§9
§10
§11
§12
Chapter
Equations over Finite Fields
§1 Affine
§2
§3
Contents xiii
Chapter
The Zeta
§1
§2
§3
ű0xő
§4
§5
Chapter
Algebraic Number Theory
§1
§2
§3
Chapter
Quadratic and Cyclotomic Fields
§1
§2
§3
Chapter
The Stickelberger Relation and the
§1
§2
§3
§4
§5
§6
Chapter
Bernoulli Numbers
§1
§2
§3
Chapter
Dirichlet L-functions
§1
§2
§3
§4
§5
§6
„;„
ЛІ
Chapter
Diophantine Equations
§ 1
§2
§3
§4
§5
§6
§7
§8
§9
§10
§11
§12
Chapter
Elliptic Curves
§1
§2
§3
§4
§5 Hecke
§6
§7
§8
Chapter
The Mordell-Weii Ti.eorem
§1
§2
§3
§4
§5
Chapter
New Progress in Arithmetic Geometry
§1
§2
§3
§4
§5
§6
Selected Hints for the Exercises
Bibliography
Index |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Ireland, Kenneth Rosen, Michael Ira 1938-1954 |
| author_GND | (DE-588)123553970 |
| author_facet | Ireland, Kenneth Rosen, Michael Ira 1938-1954 |
| author_role | aut aut |
| author_sort | Ireland, Kenneth |
| author_variant | k i ki m i r mi mir |
| building | Verbundindex |
| bvnumber | BV020833042 |
| classification_rvk | SK 180 |
| classification_tum | MAT 100f |
| ctrlnum | (OCoLC)633358633 (DE-599)BVBBV020833042 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2. ed., corr. 5. print. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01612nam a2200409 cb4500</leader><controlfield tag="001">BV020833042</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120507 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">051017s1998 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387973296</subfield><subfield code="9">978-0-387-97329-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">038797329X</subfield><subfield code="9">0-387-97329-X</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">354097329X</subfield><subfield code="9">3-540-97329-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)633358633</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV020833042</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-703</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">MAT 100f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ireland, Kenneth</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A classical introduction to modern number theory</subfield><subfield code="c">Kenneth Ireland ; Michael Rosen</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed., corr. 5. print.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 389 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">Graduate texts in mathematics</subfield><subfield code="v">84</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="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</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=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rosen, Michael Ira</subfield><subfield code="d">1938-1954</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123553970</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Graduate texts in mathematics</subfield><subfield code="v">84</subfield><subfield code="w">(DE-604)BV000000067</subfield><subfield code="9">84</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</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=014155018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-014155018</subfield></datafield></record></collection> |
| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV020833042 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T13:13:57Z |
| indexdate | 2024-07-09T20:26:10Z |
| institution | BVB |
| isbn | 9780387973296 038797329X 354097329X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014155018 |
| oclc_num | 633358633 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-11 DE-703 |
| owner_facet | DE-355 DE-BY-UBR DE-11 DE-703 |
| physical | XIV, 389 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Ireland, Kenneth Verfasser aut A classical introduction to modern number theory Kenneth Ireland ; Michael Rosen 2. ed., corr. 5. print. New York [u.a.] Springer 1998 XIV, 389 S. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 84 Zahlentheorie (DE-588)4067277-3 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Zahlentheorie (DE-588)4067277-3 s DE-604 Rosen, Michael Ira 1938-1954 Verfasser (DE-588)123553970 aut Graduate texts in mathematics 84 (DE-604)BV000000067 84 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014155018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ireland, Kenneth Rosen, Michael Ira 1938-1954 A classical introduction to modern number theory Graduate texts in mathematics Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4151278-9 |
| title | A classical introduction to modern number theory |
| title_auth | A classical introduction to modern number theory |
| title_exact_search | A classical introduction to modern number theory |
| title_exact_search_txtP | A classical introduction to modern number theory |
| title_full | A classical introduction to modern number theory Kenneth Ireland ; Michael Rosen |
| title_fullStr | A classical introduction to modern number theory Kenneth Ireland ; Michael Rosen |
| title_full_unstemmed | A classical introduction to modern number theory Kenneth Ireland ; Michael Rosen |
| title_short | A classical introduction to modern number theory |
| title_sort | a classical introduction to modern number theory |
| topic | Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Zahlentheorie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014155018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000067 |
| work_keys_str_mv | AT irelandkenneth aclassicalintroductiontomodernnumbertheory AT rosenmichaelira aclassicalintroductiontomodernnumbertheory |