The Banach-Tarski paradox:
The Banach–Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1985
|
| Series: | Encyclopedia of mathematics and its applications
volume 24 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | The Banach–Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up-to-date proofs and discusses many unsolved problems |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xvi, 251 pages) |
| ISBN: | 9780511609596 |
| DOI: | 10.1017/CBO9780511609596 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043940959 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s1985 |||| o||u| ||||||eng d | ||
| 020 | |a 9780511609596 |c Online |9 978-0-511-60959-6 | ||
| 024 | 7 | |a 10.1017/CBO9780511609596 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511609596 | ||
| 035 | |a (OCoLC)967773119 | ||
| 035 | |a (DE-599)BVBBV043940959 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 511.3/22 |2 19eng | |
| 084 | |a SK 155 |0 (DE-625)143219: |2 rvk | ||
| 084 | |a SK 430 |0 (DE-625)143239: |2 rvk | ||
| 100 | 1 | |a Wagon, S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Banach-Tarski paradox |c Stan Wagon |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1985 | |
| 300 | |a 1 online resource (xvi, 251 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Encyclopedia of mathematics and its applications |v volume 24 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a The Banach–Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up-to-date proofs and discusses many unsolved problems | ||
| 650 | 4 | |a Banach-Tarski paradox | |
| 650 | 4 | |a Measure theory | |
| 650 | 4 | |a Decomposition (Mathematics) | |
| 650 | 0 | 7 | |a Banach-Tarskisches Paradoxon |0 (DE-588)4143975-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Zerlegung |g Mathematik |0 (DE-588)4190746-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Maßtheorie |0 (DE-588)4074626-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Banach-Tarskisches Paradoxon |0 (DE-588)4143975-2 |D s |
| 689 | 0 | 1 | |a Maßtheorie |0 (DE-588)4074626-4 |D s |
| 689 | 0 | 2 | |a Zerlegung |g Mathematik |0 (DE-588)4190746-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-30244-9 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-45704-0 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511609596 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029349928 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511609596 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511609596 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804176882076221440 |
|---|---|
| any_adam_object | |
| author | Wagon, S. |
| author_facet | Wagon, S. |
| author_role | aut |
| author_sort | Wagon, S. |
| author_variant | s w sw |
| building | Verbundindex |
| bvnumber | BV043940959 |
| classification_rvk | SK 155 SK 430 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511609596 (OCoLC)967773119 (DE-599)BVBBV043940959 |
| dewey-full | 511.3/22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/22 |
| dewey-search | 511.3/22 |
| dewey-sort | 3511.3 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511609596 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02824nmm a2200553zcb4500</leader><controlfield tag="001">BV043940959</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s1985 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511609596</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-60959-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511609596</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511609596</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)967773119</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043940959</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.3/22</subfield><subfield code="2">19eng</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 155</subfield><subfield code="0">(DE-625)143219:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 430</subfield><subfield code="0">(DE-625)143239:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wagon, S.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Banach-Tarski paradox</subfield><subfield code="c">Stan Wagon</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1985</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xvi, 251 pages)</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">Encyclopedia of mathematics and its applications</subfield><subfield code="v">volume 24</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The Banach–Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up-to-date proofs and discusses many unsolved problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach-Tarski paradox</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Measure theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Decomposition (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Banach-Tarskisches Paradoxon</subfield><subfield code="0">(DE-588)4143975-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zerlegung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4190746-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Maßtheorie</subfield><subfield code="0">(DE-588)4074626-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Banach-Tarskisches Paradoxon</subfield><subfield code="0">(DE-588)4143975-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Maßtheorie</subfield><subfield code="0">(DE-588)4074626-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Zerlegung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4190746-2</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="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-30244-9</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-45704-0</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511609596</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029349928</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><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511609596</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511609596</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043940959 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9780511609596 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349928 |
| oclc_num | 967773119 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 251 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Wagon, S. Verfasser aut The Banach-Tarski paradox Stan Wagon Cambridge Cambridge University Press 1985 1 online resource (xvi, 251 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 24 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The Banach–Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up-to-date proofs and discusses many unsolved problems Banach-Tarski paradox Measure theory Decomposition (Mathematics) Banach-Tarskisches Paradoxon (DE-588)4143975-2 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Banach-Tarskisches Paradoxon (DE-588)4143975-2 s Maßtheorie (DE-588)4074626-4 s Zerlegung Mathematik (DE-588)4190746-2 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-30244-9 Erscheint auch als Druckausgabe 978-0-521-45704-0 https://doi.org/10.1017/CBO9780511609596 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wagon, S. The Banach-Tarski paradox Banach-Tarski paradox Measure theory Decomposition (Mathematics) Banach-Tarskisches Paradoxon (DE-588)4143975-2 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4143975-2 (DE-588)4190746-2 (DE-588)4074626-4 |
| title | The Banach-Tarski paradox |
| title_auth | The Banach-Tarski paradox |
| title_exact_search | The Banach-Tarski paradox |
| title_full | The Banach-Tarski paradox Stan Wagon |
| title_fullStr | The Banach-Tarski paradox Stan Wagon |
| title_full_unstemmed | The Banach-Tarski paradox Stan Wagon |
| title_short | The Banach-Tarski paradox |
| title_sort | the banach tarski paradox |
| topic | Banach-Tarski paradox Measure theory Decomposition (Mathematics) Banach-Tarskisches Paradoxon (DE-588)4143975-2 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Banach-Tarski paradox Measure theory Decomposition (Mathematics) Banach-Tarskisches Paradoxon Zerlegung Mathematik Maßtheorie |
| url | https://doi.org/10.1017/CBO9780511609596 |
| work_keys_str_mv | AT wagons thebanachtarskiparadox |