Set theory for the working mathematician:
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory,...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1997
|
| Schriftenreihe: | London Mathematical Society student texts
39 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of 'modern' set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields |
| Beschreibung: | 1 Online-Ressource (xi, 236 Seiten) |
| ISBN: | 9781139173131 |
| DOI: | 10.1017/CBO9781139173131 |
Internformat
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Datensatz im Suchindex
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| 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/CBO9781139173131 |
| format | Electronic eBook |
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| id | DE-604.BV043940786 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9781139173131 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349756 |
| oclc_num | 992908142 |
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| physical | 1 Online-Ressource (xi, 236 Seiten) |
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| publishDate | 1997 |
| publishDateSearch | 1997 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society student texts |
| spelling | Ciesielski, Krzysztof 1957- Verfasser (DE-588)143779508 aut Set theory for the working mathematician Krzysztof Ciesielski Cambridge Cambridge University Press 1997 1 Online-Ressource (xi, 236 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 39 This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of 'modern' set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields Set theory Mengenlehre (DE-588)4074715-3 gnd rswk-swf Mengenlehre (DE-588)4074715-3 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-59441-7 Erscheint auch als Druck-Ausgabe 978-0-521-59465-3 https://doi.org/10.1017/CBO9781139173131 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ciesielski, Krzysztof 1957- Set theory for the working mathematician Set theory Mengenlehre (DE-588)4074715-3 gnd |
| subject_GND | (DE-588)4074715-3 |
| title | Set theory for the working mathematician |
| title_auth | Set theory for the working mathematician |
| title_exact_search | Set theory for the working mathematician |
| title_full | Set theory for the working mathematician Krzysztof Ciesielski |
| title_fullStr | Set theory for the working mathematician Krzysztof Ciesielski |
| title_full_unstemmed | Set theory for the working mathematician Krzysztof Ciesielski |
| title_short | Set theory for the working mathematician |
| title_sort | set theory for the working mathematician |
| topic | Set theory Mengenlehre (DE-588)4074715-3 gnd |
| topic_facet | Set theory Mengenlehre |
| url | https://doi.org/10.1017/CBO9781139173131 |
| work_keys_str_mv | AT ciesielskikrzysztof settheoryfortheworkingmathematician |