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.Download
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