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A Course on Set Theory PDF

180 Pages·2011·0.581 MB·English
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by Ernest Schimmerling| 2011| 180 pages| 0.581| English

About 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, 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.

Detailed Information

Author:Ernest Schimmerling
Publication Year:2011
ISBN:9781107008175
Pages:180
Language:English
File Size:0.581
Format:PDF
Price:FREE
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