Math 361 - Set Theory (Fall 2018)

Instructor / Office hours

Dr. Iian Smythe (i.smythe@rutgers.edu) / W 10:30am-12:00pm in 511 Hill Center or by appointment

Lecture

TTh 1:40pm-3:00pm in 211 Science & Engineering Resource Center (SEC)

Course description

An introduction to axiomatic set theory, the foundations of mathematics, and the study of the infinite. We will cover material from Chapters 1-8 of Enderton (omitting topics as time demands), including: algebra of sets, the Zermelo-Fraenkel axioms of set theory, constructions of number systems, countable and uncountable sets, cardinals, ordinals, and the Axiom of Choice.

See the course syllabus for more information regarding grade evaluation, homework standards, important dates, etc.

Textbooks and resources

Course materials (homework, solutions, etc) will be posted on Sakai.

Our required textbook is Elements of Set Theory, by Herbert B. Enderton (available online via Rutgers Libraries).

The following are additional resources you may find useful:

• Naive Set Theory, by Paul R. Halmos (a more informal treatment, available online via Rutgers Libraries)
• Introduction to Set Theory, by Karel Hrbacek and Thomas Jech (available in the Mathematical Sciences and Physics Library)
• "Set Theory", by Joan Bagaria, in the Stanford Encyclopedia of Philosophy (a general survey of the subject as it stands today)