Logische Grundlagen der Mathematik:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2009
|
| Schriftenreihe: | Springer-Lehrbuch
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 203 S. graph. Darst. |
| ISBN: | 9783540959311 9783540959328 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV035297637 | ||
| 003 | DE-604 | ||
| 005 | 20100806 | ||
| 007 | t | ||
| 008 | 090209s2009 d||| |||| 00||| ger d | ||
| 015 | |a 09,N06,0694 |2 dnb | ||
| 016 | 7 | |a 992147808 |2 DE-101 | |
| 020 | |a 9783540959311 |c Pb. : EUR 14.95, sfr 23.50 (freier Pr.) |9 978-3-540-95931-1 | ||
| 020 | |a 9783540959328 |c eBook |9 978-3-540-95932-8 | ||
| 024 | 3 | |a 9783540959311 | |
| 028 | 5 | 2 | |a 12611966 |
| 035 | |a (OCoLC)309406318 | ||
| 035 | |a (DE-599)DNB992147808 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 049 | |a DE-521 |a DE-91G |a DE-20 |a DE-29T |a DE-92 |a DE-N32 |a DE-859 |a DE-824 |a DE-703 |a DE-355 |a DE-19 |a DE-83 |a DE-11 |a DE-634 |a DE-188 | ||
| 082 | 0 | |a 511.3 |2 22/ger | |
| 084 | |a SK 130 |0 (DE-625)143216: |2 rvk | ||
| 084 | |a 510 |2 sdnb | ||
| 084 | |a MAT 030f |2 stub | ||
| 100 | 1 | |a Schindler, Ralf |d 1965- |e Verfasser |0 (DE-588)120896591 |4 aut | |
| 245 | 1 | 0 | |a Logische Grundlagen der Mathematik |c Ralf Schindler |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
| 300 | |a 203 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer-Lehrbuch | |
| 650 | 0 | 7 | |a Mathematische Logik |0 (DE-588)4037951-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Menge |0 (DE-588)4038613-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Logik |0 (DE-588)4036202-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Reelle Zahl |0 (DE-588)4202628-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Mathematische Logik |0 (DE-588)4037951-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Logik |0 (DE-588)4036202-4 |D s |
| 689 | 1 | 1 | |a Menge |0 (DE-588)4038613-2 |D s |
| 689 | 1 | 2 | |a Reelle Zahl |0 (DE-588)4202628-3 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o 10.1007/978-3-540-95932-8 |
| 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=017102568&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017102568 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804138596582555648 |
|---|---|
| adam_text | Inhaltsverzeichnis
1 Natürliche Zahlen
1.1 Endliche und unendliche Mengen..... 3
1.2 Die Theorie der natürlichen Zahlen .. 23
2 Reelle Zahlen
2.1 Die Konstruktion der ganzen und ra¬
tionalen Zahlen........................... 37
2.2 Die Konstruktion der reellen Zahlen . 48
2.3 Die Theorie der reellen Zahlen........ 69
3 Mengen
3.1 Mengen, Klassen und Grothendieck-
Universen.................................. 77
3.2 Das Auswahlaxiom....................... 105
3.3 Die
Topologie
von
Ж
und die Konti-
nuumshypothese......................... 122
4 Modelle
4.1 Logik erster Stufe........................ 135
4.2 Ultraprodukte und Kompaktheit...... 162
4.3 Nichtstandard-Modelle.................. 173
4.4 Unvollständigkeit......................... 184
Literaturverzeichnis............... 197
Index.............................. 199
|
| any_adam_object | 1 |
| author | Schindler, Ralf 1965- |
| author_GND | (DE-588)120896591 |
| author_facet | Schindler, Ralf 1965- |
| author_role | aut |
| author_sort | Schindler, Ralf 1965- |
| author_variant | r s rs |
| building | Verbundindex |
| bvnumber | BV035297637 |
| classification_rvk | SK 130 |
| classification_tum | MAT 030f |
| ctrlnum | (OCoLC)309406318 (DE-599)DNB992147808 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| 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>02192nam a2200541 c 4500</leader><controlfield tag="001">BV035297637</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20100806 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">090209s2009 d||| |||| 00||| ger d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">09,N06,0694</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">992147808</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540959311</subfield><subfield code="c">Pb. : EUR 14.95, sfr 23.50 (freier Pr.)</subfield><subfield code="9">978-3-540-95931-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540959328</subfield><subfield code="c">eBook</subfield><subfield code="9">978-3-540-95932-8</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783540959311</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">12611966</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)309406318</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB992147808</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">ger</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-521</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-N32</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.3</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 130</subfield><subfield code="0">(DE-625)143216:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 030f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schindler, Ralf</subfield><subfield code="d">1965-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)120896591</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Logische Grundlagen der Mathematik</subfield><subfield code="c">Ralf Schindler</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">203 S.</subfield><subfield code="b">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="0" ind2=" "><subfield code="a">Springer-Lehrbuch</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Logik</subfield><subfield code="0">(DE-588)4037951-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Menge</subfield><subfield code="0">(DE-588)4038613-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Logik</subfield><subfield code="0">(DE-588)4036202-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Reelle Zahl</subfield><subfield code="0">(DE-588)4202628-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematische Logik</subfield><subfield code="0">(DE-588)4037951-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Logik</subfield><subfield code="0">(DE-588)4036202-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Menge</subfield><subfield code="0">(DE-588)4038613-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Reelle Zahl</subfield><subfield code="0">(DE-588)4202628-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="o">10.1007/978-3-540-95932-8</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=017102568&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:BVB01-017102568</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> |
| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV035297637 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:42Z |
| institution | BVB |
| isbn | 9783540959311 9783540959328 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017102568 |
| oclc_num | 309406318 |
| open_access_boolean | |
| owner | DE-521 DE-91G DE-BY-TUM DE-20 DE-29T DE-92 DE-N32 DE-859 DE-824 DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-83 DE-11 DE-634 DE-188 |
| owner_facet | DE-521 DE-91G DE-BY-TUM DE-20 DE-29T DE-92 DE-N32 DE-859 DE-824 DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-83 DE-11 DE-634 DE-188 |
| physical | 203 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer-Lehrbuch |
| spelling | Schindler, Ralf 1965- Verfasser (DE-588)120896591 aut Logische Grundlagen der Mathematik Ralf Schindler Berlin [u.a.] Springer 2009 203 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer-Lehrbuch Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Menge (DE-588)4038613-2 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Reelle Zahl (DE-588)4202628-3 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Mathematische Logik (DE-588)4037951-6 s DE-604 Logik (DE-588)4036202-4 s Menge (DE-588)4038613-2 s Reelle Zahl (DE-588)4202628-3 s 1\p DE-604 Erscheint auch als Online-Ausgabe 10.1007/978-3-540-95932-8 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017102568&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schindler, Ralf 1965- Logische Grundlagen der Mathematik Mathematische Logik (DE-588)4037951-6 gnd Menge (DE-588)4038613-2 gnd Logik (DE-588)4036202-4 gnd Reelle Zahl (DE-588)4202628-3 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4038613-2 (DE-588)4036202-4 (DE-588)4202628-3 (DE-588)4123623-3 |
| title | Logische Grundlagen der Mathematik |
| title_auth | Logische Grundlagen der Mathematik |
| title_exact_search | Logische Grundlagen der Mathematik |
| title_full | Logische Grundlagen der Mathematik Ralf Schindler |
| title_fullStr | Logische Grundlagen der Mathematik Ralf Schindler |
| title_full_unstemmed | Logische Grundlagen der Mathematik Ralf Schindler |
| title_short | Logische Grundlagen der Mathematik |
| title_sort | logische grundlagen der mathematik |
| topic | Mathematische Logik (DE-588)4037951-6 gnd Menge (DE-588)4038613-2 gnd Logik (DE-588)4036202-4 gnd Reelle Zahl (DE-588)4202628-3 gnd |
| topic_facet | Mathematische Logik Menge Logik Reelle Zahl Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017102568&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT schindlerralf logischegrundlagendermathematik |