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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