Intermediate Set Theory 1st Edition by F. R. Drake (PDF)

Description

The authors cover first order logic and the main topics of set theory in a clear mathematical style with sensible philosophical discussion. The emphasis is on presenting the use of set theory in various areas of mathematics, with particular attention paid to introducing axiomatic set theory, showing how the axioms are needed in mathematical practice and how they arise. Other areas introduced include the axiom of choice, filters and ideals. Exercises are provided which are suitable for both beginning students and degree-level students.

User’s Reviews

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

⭐This is targeted at seniors and beginning grads and is meant to bridge between elementary undegrad texts and advanced grad texts. It is fairly readable, but is irritatingly light on details. It feels like it gives you 90% of what you need to know to do anything.If you have had introductory set theory, chapters 1 – 4 (History. FOL. ZFC. Cardinals.) are a total waste of time. Chapters 5 (Ordering) and 6 (Axiom of Choice) have a few new points. Chapter 7 has a fair amount of interesting new stuff, most of it in the exercises. Chapter 8 (Constructible Sets and Forcing) has the simplest description of forcing I have seen.

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