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 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, fil…
Read More ↓Title Statements
- Full title :A course on set theory / Ernest Schimmerling.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2011.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2011.
The Physical Object
- Description:ix, 168 pages : : illustrations ; : 23 cm
Edition Identifiers
- ISBN:1107400481, 9781107400481, 1107008174, 9781107008175
- oclc:ocn709666507
- LC Classification:QA248
- Dewey Decimal:511.322
Table of Contents
1. Preliminaries -- 2. ZFC -- 3. Order -- 4. Cardinality -- 5. Trees -- 6. Dense linear orderings -- 7. Filters and ideals.
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