A Course on Set Theory 1st Edition by Ernest Schimmerling (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is great for those interested in the field. Exercises can be a bit difficult, but the substance and the content of this book is great that any mathematician will love.

⭐I thoroughly enjoyed this book. Schimmerling does a good job of explaining the basic notions of set theory in the first 4 chapters, after which he gives the reader a glimpse of some parts of other areas the reader can pursue afterwards (infinitary combinatorics, descriptive set theory and model theory) – along with a lot of exercises. He does not cover consistency results in the book, which makes this a great book before Kunen, due to the minimal overlap.

⭐

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