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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schimmerling, Ernest
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2011.
Temas:
Set theory.
Set theory > Problems, exercises, etc.
Théorie des ensembles.
Théorie des ensembles > Problèmes et exercices.
MATHEMATICS > Set Theory.
Teoría de juegos
Set theory
exercise books.
Problems and exercises
Problems and exercises.
Problèmes et exercices.
Acceso en línea:Texto completo

MARC

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100 1 |a Schimmerling, Ernest. 
245 1 2 |a A course on set theory /  |c Ernest Schimmerling. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 2011. 
300 |a 1 online resource (ix, 168 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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504 |a Includes bibliographical references (page 166) and index. 
505 0 |a 1. Preliminaries -- 2. ZFC -- 3. Order -- 4. Cardinality -- 5. Trees -- 6. Dense linear orderings -- 7. Filters and ideals. 
588 0 |a Print version record. 
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. 
546 |a English. 
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650 0 |a Set theory. 
650 0 |a Set theory  |v Problems, exercises, etc. 
650 6 |a Théorie des ensembles. 
650 6 |a Théorie des ensembles  |v Problèmes et exercices. 
650 7 |a MATHEMATICS  |x Set Theory.  |2 bisacsh 
650 7 |a Teoría de juegos  |2 embne 
650 7 |a Set theory  |2 fast 
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655 7 |a Problems and exercises  |2 fast 
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