A course on set theory:
Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theory |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (ix, 168 pages) |
| ISBN: | 9780511996351 |
| DOI: | 10.1017/CBO9780511996351 |
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| 520 | |a Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theory | ||
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Datensatz im Suchindex
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| author | Schimmerling, Ernest |
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| contents | 1. Preliminaries -- 2. ZFC -- 3. Order -- 4. Cardinality -- 5. Trees -- 6. Dense linear orderings -- 7. Filters and ideals |
| ctrlnum | (ZDB-20-CBO)CR9780511996351 (OCoLC)992844294 (DE-599)BVBBV043943568 |
| dewey-full | 511.322 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.322 |
| dewey-search | 511.322 |
| dewey-sort | 3511.322 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511996351 |
| format | Electronic eBook |
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| spelling | Schimmerling, Ernest Verfasser aut A course on set theory Ernest Schimmerling Cambridge Cambridge University Press 2011 1 online resource (ix, 168 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Preliminaries -- 2. ZFC -- 3. Order -- 4. Cardinality -- 5. Trees -- 6. Dense linear orderings -- 7. Filters and ideals Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theory Set theory Set theory / Problems, exercises, etc Mengenlehre (DE-588)4074715-3 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Mengenlehre (DE-588)4074715-3 s 2\p DE-604 Erscheint auch als Druckausgabe 978-1-107-00817-5 Erscheint auch als Druckausgabe 978-1-107-40048-1 https://doi.org/10.1017/CBO9780511996351 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schimmerling, Ernest A course on set theory 1. Preliminaries -- 2. ZFC -- 3. Order -- 4. Cardinality -- 5. Trees -- 6. Dense linear orderings -- 7. Filters and ideals Set theory Set theory / Problems, exercises, etc Mengenlehre (DE-588)4074715-3 gnd |
| subject_GND | (DE-588)4074715-3 (DE-588)4123623-3 |
| title | A course on set theory |
| title_auth | A course on set theory |
| title_exact_search | A course on set theory |
| title_full | A course on set theory Ernest Schimmerling |
| title_fullStr | A course on set theory Ernest Schimmerling |
| title_full_unstemmed | A course on set theory Ernest Schimmerling |
| title_short | A course on set theory |
| title_sort | a course on set theory |
| topic | Set theory Set theory / Problems, exercises, etc Mengenlehre (DE-588)4074715-3 gnd |
| topic_facet | Set theory Set theory / Problems, exercises, etc Mengenlehre Lehrbuch |
| url | https://doi.org/10.1017/CBO9780511996351 |
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