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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2011.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (ix, 168 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (page 166) and index. |
| ISBN: | 9781139101769 1139101765 1139099760 9781139099769 9780511996351 0511996357 1283307049 9781283307048 9781139101103 1139101102 1107221927 9781107221925 1139103563 9781139103565 9786613307040 6613307041 1139099086 9781139099080 |